☆ 4.7 Review

A comprehensive review on the vibration analyses of small-scaled plate-based structures by utilizing the nonclassical continuum elasticity theories

THIN-WALLED STRUCTURES (2022)

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Article Thermodynamics

A peridynamic-based machine learning model for one-dimensional and two-dimensional structures

Cong Tien Nguyen et al.

Summary: This study presents a peridynamics-based machine learning model for one- and two-dimensional structures. Linear regression is used to establish the linear relationships between the displacement of a material point and the displacements of its family members and applied forces, enhancing the accuracy of the model. The accuracy of the coupled model is verified through various examples of one-dimensional and two-dimensional structures.

CONTINUUM MECHANICS AND THERMODYNAMICS (2023)

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Article Computer Science, Interdisciplinary Applications

Implicit implementation of the nonlocal operator method: an open source code

Yongzheng Zhang et al.

Summary: In this paper, an open-source code for the first-order and higher-order nonlocal operator method (NOM) is presented, along with a detailed implementation description. The NOM, based on nonlocal operators and an operate energy functional, provides a simplified implementation compared to other classical computational methods. The paper demonstrates the flexibility and efficiency of the NOM in solving partial differential equations (PDEs) and extending it to solve more complex physical phenomena.

ENGINEERING WITH COMPUTERS (2023)

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Article Computer Science, Interdisciplinary Applications

A size-dependent isogeometric analysis of laminated composite plates based on the nonlocal strain gradient theory

Chien H. Thai et al.

Summary: This paper presents a size-dependent high-order shear deformation theory (HSDT) model for analyzing the static and free vibration of laminated composite and sandwich nanoplates. By introducing scale parameters, the size effect of nanostructures is considered, and a virtual work principle is used to establish the bending and free vibration analysis model. The results show that the characteristics of the nanostructures are influenced by the geometry, boundary condition, length-to-thickness ratio, strain gradient parameter, and nonlocal parameter.

ENGINEERING WITH COMPUTERS (2023)

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Article Computer Science, Interdisciplinary Applications

Nonlocal dynamic Kirchhoff plate formulation based on nonlocal operator method

Yongzheng Zhang

Summary: In this study, a nonlocal operator method (NOM) is proposed for the dynamic analysis of (thin) Kirchhoff plates. The NOM simplifies the analysis process for thin plates and derives the dynamic governing formulation and operator energy functional using a variational principle. The Verlet-velocity algorithm is used for time discretization.

ENGINEERING WITH COMPUTERS (2023)

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Article Computer Science, Interdisciplinary Applications

Modified strain gradient-based nonlinear building sustainability of porous functionally graded composite microplates with and without cutouts using IGA

Li Su et al.

Summary: This study investigates the microstructural-dependent geometrical nonlinear building sustainability characteristics of porous functionally graded (PFG) composite rectangular microplates with and without different geometrical cutouts. The results show that the deviatoric stretch type of gradient tensor has a stronger effect on the nonlinear flexural behavior of PFG microplates compared to the symmetric rotation and dilatation ones. The presence of a central cutout changes the load-deflection paths and leads to different slopes. Furthermore, a specific value of uniform distributed load induces the same deflection in microplates with cutouts of different sizes, and this specific value of uniform distributed load is enhanced when considering the microstructural strain gradient tensors.

ENGINEERING WITH COMPUTERS (2023)

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Article Computer Science, Interdisciplinary Applications

Free vibration analysis of nanoplates with auxetic honeycomb core using a new third-order finite element method and nonlocal elasticity theory

Quoc-Hoa Pham et al.

Summary: This paper proposes a finite element method for the free vibration analysis of a sandwich nanoplate with an auxetic honeycomb core. The method uses a nonlocal elasticity theory and a shear deformation theory without shear correction factors, and it is applicable to sandwich nanoplates with negative Poisson's ratio.

ENGINEERING WITH COMPUTERS (2023)

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Article Computer Science, Interdisciplinary Applications

Magnetostriction-assisted active control of the multi-layered nanoplates: effect of the porous functionally graded facesheets on the system's behavior

Farzad Ebrahimi et al.

Summary: This study analyzes the vibrational behavior of a three-layered composite sandwich structure consisting of a magnetostrictive nanoplate integrated with functionally graded material facesheets. The results show that increasing the thickness of the nanoplate leads to an increase in natural frequencies. This is important for the design of nanosensors, actuators, and valves.

ENGINEERING WITH COMPUTERS (2023)

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Article Mechanics

Thermo-electro-mechanical vibration and buckling analysis of quadrilateral and triangular nanoplates with the nonlocal finite strip method

Hamid Reza Analooei et al.

Summary: In this study, thermo-electro-mechanical analysis of quadrilateral and triangular piezoelectric nanoplates was conducted using nonlocal theory and Kirchhoff plate theory. It was found that small-scale effect plays a significant role in the buckling and vibration behavior of piezoelectric nanoplates.

MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES (2023)

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Article Mechanics

On the NURBS-based isogeometric analysis for couple stress-based nonlinear instability of PFGM microplates

Jianhui Qiu et al.

Summary: In this study, a nonlinear postbuckling analysis for microplates made of a porous functionally graded material (PFGM) is performed using the modified couple stress theory of elasticity (MCSTE). The effective mechanical properties of PFGM microplates are extracted using a power-law function that incorporates porosity dependency and material gradient. The non-uniform rational B-spline (NURBS)-based isogeometric analytical method is employed for effective discretization. It is found that the gap between equilibrium paths decreases as the postbuckling regime progresses, and the effect of couple stress size becomes more significant for certain porosity and material property gradient index values, especially for higher maximum deflection values.

MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES (2023)

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Article Mechanics

Analytical investigation of the refined zigzag theory for electro-magneto vibration response of the viscoelastic FG-GPLRC sandwich microplates

Mohammad Mosayyebi et al.

Summary: This study investigates the vibration behaviors of viscoelastic sandwich microplates reinforced with graphene nanoplatelets as core and actuator layers as piezoelectric face sheets. The effects of various parameters on the frequency and damping of the system are studied, and it is found that the frequency decreases as the external voltage increases.

MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES (2023)

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Article Computer Science, Interdisciplinary Applications

Nonlocal strong forms of thin plate, gradient elasticity, magneto-electro-elasticity and phase-field fracture by nonlocal operator method

Huilong Ren et al.

Summary: In this paper, a method based on nonlocal operator method is proposed for deriving nonlocal forms for various physical problems, such as elasticity, thin plate, gradient elasticity, electro-magneto-elasticity, and phase-field fracture method. The method is simple and general, and can efficiently convert local physical models into nonlocal forms. A criterion based on the instability of the nonlocal gradient is also proposed for fracture modeling in linear elasticity.

ENGINEERING WITH COMPUTERS (2023)

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Article Computer Science, Interdisciplinary Applications

A nonlocal strain gradient analysis of laminated composites and sandwich nanoplates using meshfree approach

Chien H. Thai et al.

Summary: This paper proposes a nonlocal strain gradient meshfree plate approach for the bending and free vibration analyses of laminated composite and sandwich nanoplates. The deflection and natural frequency of the plates are significantly influenced by the nonlocal and strain gradient parameters. The results show that both models coincide when the nonlocal and strain gradient parameters are taken as zero.

ENGINEERING WITH COMPUTERS (2023)

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Article Computer Science, Interdisciplinary Applications

Small/large amplitude vibration, snap-through and nonlinear thermo-mechanical instability of temperature-dependent FG porous circular nanoplates

E. Salari et al.

Summary: This paper investigates the thermo-mechanical instability and vibration behavior of functionally graded porous circular nanoplates in bifurcation and limit load buckling caused by temperature. The results show that factors such as temperature dependence, porosity distribution, and nonlocal parameter have significant effects on the bending and vibration behavior of the nanoplates.

ENGINEERING WITH COMPUTERS (2023)

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Article Mechanics

On the mechanics of shear deformable micro beams under thermo-mechanical loads using finite element analysis and deep learning neural network

Sundaramoorthy Rajasekaran et al.

Summary: In this study, the mechanics of shear deformable micro beams were investigated using finite element analysis and a deep learning neural network model. The developed model accurately predicted the mechanical behavior of small-scale structures under thermo-mechanical loading, with high accuracy and reduced computational cost.

MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES (2023)

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Article Mechanics

Free vibration analysis of the macro-micro-nano plates and shells made of a material with functionally graded porosity: A closed-form solution

Pouyan Talebizadehsardari et al.

Summary: This article presents a closed-form solution for vibration analysis of macro-micro-nano plates and shells made of unit material with functionally graded porosity.

MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES (2022)

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Article Mechanics

Wave propagation in FG porous GPLs-reinforced nanoplates under in-plane mechanical load and Lorentz magnetic force via a new quasi 3D plate theory

Mohammad Alakel Abazid et al.

Summary: This paper investigates wave propagation in functionally graded porous graphene platelets-reinforced nanoplates subjected to mechanical load and magnetic field using the nonlocal strain gradient theory and a new quasi 3D plate theory. The effects of various parameters on the wave frequency and phase velocity are studied in detail.

MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES (2022)

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Article Computer Science, Interdisciplinary Applications

A finite element formulation using four-unknown incorporating nonlocal theory for bending and free vibration analysis of functionally graded nanoplates resting on elastic medium foundations

Van-Ke Tran et al.

Summary: A finite element model using four-unknown shear deformation theory integrated with the nonlocal theory is proposed for the bending and free vibration analysis of functionally graded nanoplates resting on elastic foundations. Numerical results demonstrate the accuracy and reliability of the present approach, while also investigating the effects of geometrical parameters, material parameters, and nonlocal parameters on the static bending and free vibration responses of the nanoplates in detail.

ENGINEERING WITH COMPUTERS (2022)

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Article Mechanics

Size dependent free vibration and buckling of multilayered carbon nanotubes reinforced composite nanoplates in thermal environment

Ahmed Amine Daikh et al.

Summary: This study focuses on the buckling and free vibration of simply-supported cross-ply/angle-ply single-walled carbon nanotubes reinforced composite CNTRC laminated nanoplates in thermal environment. Nonlocal strain gradient theory and third-order shear deformation plate theory are used to analyze the size-dependent effects. The influence of reinforcement patterns, composite structure, nonlocal parameter, length scale parameter, carbon nanotubes orientation, and geometric parameters on buckling loads and natural frequencies is examined.

MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES (2022)

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Article Engineering, Aerospace

Investigation of vibro-impact resistance of fiber reinforced composite plates with polyurea coating with elastic constraints

Hui Li et al.

Summary: This study proposes a dynamic model for fiber reinforced composite (FRC) plates with polyurea coating (PC) under four-edge elastic constraints to investigate their vibro-impact resistant performance. The model solves the natural frequencies and dynamic responses of PC-FRC plates subjected to impulse excitation loads, obtaining the key index 'dynamic stiffness' for evaluating anti-vibration capability. The equilibrium equations of PC-FRC plates under low velocity impact excitations are derived, and the impact contact force is calculated using the Hertz contact law, defining the 'impact damage area' as the key index for estimating impact resistance performance. The model is validated using numerical and experimental results, and a parametric study is conducted to provide practical guidance for achieving better vibro-impact resistance in composite structures.

AEROSPACE SCIENCE AND TECHNOLOGY (2022)

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Article Engineering, Multidisciplinary

Modeling approach for flexible shaft-disk-drum rotor systems with elastic connections and supports

Shengnan Zhao et al.

Summary: A dynamic modeling method is proposed for shaft-disk-drum (SDM) rotor systems with elastic connections and supports, and the coupling vibrations of disk, drum and shaft are investigated. The motion equations for flexible SDM rotor systems are derived using Lagrange equation by expanding displacement fields with orthogonal polynomials obtained by Gram-Schmidt process. The proposed modeling approach is verified and can be applied to more complex configurations.

APPLIED MATHEMATICAL MODELLING (2022)

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Article Thermodynamics

Experimental investigations on the thermal superposition effect of multiple hotspots for embedded microfluidic cooling

Yuxin Ye et al.

Summary: This paper introduces the concept of thermal superposition effect, which can effectively reduce the average temperature of multi-hotspot chips by optimizing the superposition factor. The factor also enables prediction of the temperature change of hotspots.

APPLIED THERMAL ENGINEERING (2022)

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Article Mechanics

Pull-in instability and vibration of quasicrystal circular nanoplate actuator based on surface effect and nonlocal elastic theory

Yunzhi Huang et al.

Summary: In this study, a dynamic model of a nano-QC circular plate actuator is established, taking into account factors such as electrostatic and Casimir forces. The numerical solution of the governing equation shows that the instability deformation, frequency, and electrostatic driving voltage of the nanoplate are influenced by geometric parameters and material constants.

ARCHIVE OF APPLIED MECHANICS (2022)

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Article Engineering, Civil

Combined axial and lateral stability behavior of random checkerboard reinforced cylindrical microshells via a couple stress-based moving Kriging meshfree model

Hongwei Liu et al.

Summary: In this study, a size-dependent numerical solution methodology is used to analyze the nonlinear buckling and postbuckling behavior of cylindrical microsized shells made of checkerboard randomly reinforced nanocomposites subjected to axial and lateral compressions. The results show that the stiffening feature related to the rotation gradient tensor allows the microshell to endure higher shortening before buckling occurs. It is also found that increasing the length to width ratio of the graphene nanofillers slightly increases the effect of the combination of axial or lateral load.

ARCHIVES OF CIVIL AND MECHANICAL ENGINEERING (2022)

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Article Mechanics

Multifunctional trace of various reinforcements on vibrations of three-phase nanocomposite combined hemispherical-cylindrical shells

Emad Sobhani et al.

Summary: The present study investigates the vibrations of combined hemispherical-cylindrical shells made of three-phase nanocomposite materials. Various theoretical methods are employed to evaluate material parameters and obtain equivalent mechanical properties, with proposed formulations validated through comparison with reference solutions and commercial FEM software outputs.

COMPOSITE STRUCTURES (2022)

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Article Engineering, Multidisciplinary

A data-driven peridynamic continuum model for upscaling molecular dynamics

Huaiqian You et al.

Summary: The paper presents a learning framework to extract an optimal Linear Peridynamic Solid (LPS) model from MD data as a surrogate for MD displacements, aiming to efficiently and accurately capture materials' behavior. By allowing partially negative influence functions and developing a constrained optimization algorithm, the proposed approach guarantees the resulting model's mathematical well-posedness and physical consistency.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2022)

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Article Electrochemistry

A peridynamic model for crevice corrosion damage

Siavash Jafarzadeh et al.

Summary: A new peridynamic model for crevice corrosion damage was introduced and validated with experimental results. The model simplifies electrochemical mechanisms and efficiently computes corrosion rates in domains with extreme aspect ratios. Far-field boundary conditions were used to predict the progression of corrosion, showing that two factors are sufficient to predict crevice corrosion evolution.

ELECTROCHIMICA ACTA (2022)

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Article Engineering, Civil

Thermally induced instability on asymmetric buckling analysis of pinned-fixed FG-GPLRC arches

Zhicheng Yang et al.

Summary: In this study, an analytical investigation on the asymmetric static and dynamic buckling of a pinned-fixed functionally graded graphene nanoplatelet reinforced composite (FG-GPLRC) arch under thermal conditions was conducted. The accuracy of the analytical method was verified through numerical analysis, demonstrating a good prediction of the static and dynamic buckling of the arch. The study comprehensively discussed the influence of graphene nanoplatelets weight fraction, concentration, and geometry on the static and dynamic buckling of the arch, showing that the buckling load of the arch is sensitive to the applied load position under various elevated temperatures.

ENGINEERING STRUCTURES (2022)

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Article Engineering, Civil

Nonlinear in-plane instability of the confined FGP arches with nanocomposites reinforcement under radially-directed uniform pressure

Xinhui Xiao et al.

Summary: This paper investigates the nonlinear buckling of functionally graded porous (FGP) arches reinforced with nanocomposites. Analytical and numerical methods are used to obtain the loading capacity and confinement effect, and parametric evaluations are conducted to examine the effects of geometric shapes of the nanocomposites and interface friction.

ENGINEERING STRUCTURES (2022)

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Article Mathematics, Interdisciplinary Applications

SOME RECENT DEVELOPMENTS ON DYNAMICAL PLANCK CONSTANT OVER TWO PI-DISCRETE FRACTIONAL TYPE INEQUALITIES IN THE FRAME OF NONSINGULAR AND NONLOCAL KERNELS

Saima Rashid et al.

Summary: This study explores the applications of discrete fractional calculus in inequalities, proposing novel versions of reverse Minkowski and related Holder-type inequalities, as well as certain variations for discrete AB-fractional operators with (h) over bar -discrete generalized Mittag-Leffler kernels. The discretization proposed is a new form of existing operators that can be used to efficiently describe dynamics in short time domains by leveraging intriguing features of chaotic systems.

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY (2022)

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Article Engineering, Mechanical

Modeling and topology optimization of cylindrical shells with partial CLD treatment

Runze Zhu et al.

Summary: This paper presents a unified modeling approach for cylindrical shells with partial constrained layer damping (CLD) treatment under general boundary conditions. The CLD layout is optimized using topology optimization to achieve the desired damping performance. The proposed model is validated by comparing results with literature and finite element simulations, and the vibration characteristics of cylindrical shells with partial CLD treatment are studied.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2022)

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Article Engineering, Mechanical

Modelling and analysis of nonlinear vibrations for a coupling hard-coated ring disc-cylindric shell structure under piecewise-continuous coupling conditions

Dongxu Du et al.

Summary: A unified nonlinear modelling approach is presented to investigate the nonlinear vibration characteristics of a coupling hard-coated ring disc-cylindric shell structure, considering the strain-dependant characteristic of coatings. By creating equations of motion using Sanders' shell theory and the Kirchhoff plate theory, and developing an innovative efficient algorithm for solving the nonlinear equations, the study discusses the influence of strain-dependant coatings and piecewise-continuous coupling conditions on nonlinear vibrations.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2022)

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Article Engineering, Mechanical

Analysing regular nonlinear vibrations of nano/micro plates based on the nonlocal theory and combination of reduced order modelling and multiple scale method

J. Awrejcewicz et al.

Summary: This study investigates the geometrically nonlinear vibrations of rectangular micro/nanoplates with small-scale effects considered in a framework of nonlocal elasticity theory. The governing system of nonlinear partial differential equations is derived using Hamilton's principle based on the Kirchhoff-Love hypotheses and von Karman theory. A strategy is employed to obtain coupled nonlinear and non-autonomous system of ordinary differential equations, and a reduced model of second-order nonlinear ODEs with coupled geometric nonlinearities is studied using the multiple scales method in time domain. Resonant and non-resonant vibrations are analyzed with a focus on small-scale effects and approximation accuracy.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2022)

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Review Engineering, Civil

A review of size-dependent continuum mechanics models for micro- and nano-structures

Mir Abbas Roudbari et al.

Summary: Researchers have been debating the mechanical behavior of micro-/nano-structures recently, emphasizing the importance of size-dependent theories from the perspective of non-classical material behavior. The application of continuum mechanics models, rather than classical theories, in studying these small-scale structures can lead to more accurate analysis of their performance and behavior.

THIN-WALLED STRUCTURES (2022)

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Article Physics, Multidisciplinary

Wave propagation analysis of inhomogeneous Multi-Nanoplate systems subjected to a thermal field considering surface and flexoelectricity effects

Abbas Zandi-Baghche-Maryam et al.

Summary: This paper investigates the wave propagation analysis of a viscoelastic exponentially graded multi-nanoplate system embedded in visco-Pasternak foundations using Eringen's nonlocal theory and Kirchhoff plate theory. The effects of external electric field, thermal environment, and flexoelectricity are considered. Analytical solutions are obtained for the nonlocal governing equations of motion to determine the undamped natural frequencies and damping ratio. A parametric study is conducted to analyze the influences of various factors on the thermo-electro-mechanical vibration and wave propagation characteristics of the system.

WAVES IN RANDOM AND COMPLEX MEDIA (2022)

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Article Mathematics

Free Vibration of FG-CNTRCs Nano-Plates/Shells with Temperature-Dependent Properties

Ammar Melaibari et al.

Summary: This article presents a mathematical model to analyze the free vibration response of nanoplates and nanoshells. By considering the effects of material distribution, temperature and geometry, and incorporating shear deformation and length scale effects, the vibrational frequencies can be predicted and optimized.

MATHEMATICS (2022)

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Article Engineering, Civil

Nonlinear buckling mode transition analysis of axial-thermal-electrical-loaded FG piezoelectric nanopanels incorporating nonlocal and couple stress tensors

Rui Rao et al.

Summary: Piezoelectric nanostructures play a crucial role in the design of nanoscale electromechanical systems and devices. This study introduces a size-dependent panel model to analyze the nonlinear stability characteristics of functionally graded piezoelectric cylindrical nanopanels. The study utilizes a numerical strategy based on the nonlocal couple stress continuum elasticity, allowing for the incorporation of buckling mode transitions and essential boundary conditions with no predefined mesh.

ARCHIVES OF CIVIL AND MECHANICAL ENGINEERING (2022)

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Article Mathematics, Applied

Investigation of magneto-electro-thermo-mechanical loads on nonlinear forced vibrations of composite cylindrical shells

Yunfei Liu et al.

Summary: This article presents a coupled nonlinear modeling approach to investigate the nonlinear forced vibrations in composite cylindrical shells. By numerical simulations, the effects of external temperature change, magnetic potential, electric potential, and excitation amplitude on vibration response were evaluated.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2022)

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Article Mechanics

Nonlinear impulsive and vibration analysis of nonlocal FG-CNT reinforced sandwich plate by considering agglomerations

Xiufang Zhu et al.

Summary: This paper focuses on the impulsive and subsequent vibration response of a nano-scale composite sandwich plate considering nonlocal effects and nanoparticle agglomerations. Through various load forms and material parameters analysis, methods to enhance the stiffness of the nanoplate are proposed, while it is also pointed out that subsequent vibration amplitudes are significantly influenced by the type of impulsive load.

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2022)

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Article Engineering, Mechanical

A unified modeling approach for rotating flexible shaft-disk systems with general boundary and coupling conditions

Shengnan Zhao et al.

Summary: A unified modeling approach for investigating the general coupling vibrations of rotating flexible shaft-disk systems is developed in this study. The method considers the effects induced by rotation and utilizes artificial springs to represent boundary and coupling conditions, obtaining motion equations for flexible shaft-disk systems. The approach overcomes the deficiencies of existing methods and can be extended to complex rotor systems.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2022)

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Article Materials Science, Multidisciplinary

Nonlocal vibration of functionally graded nanoplates using a layerwise theory

Mohamed-Ouejdi Belarbi et al.

Summary: This work studies the size-dependent free vibration response of functionally graded nanoplates using a layerwise theory. The proposed model has a fixed number of variables and adopts the nonlocal elasticity theory to capture the small size effects. The developed finite element model has been demonstrated to be robust and reliable, and a detailed parametric analysis has been conducted.

MATHEMATICS AND MECHANICS OF SOLIDS (2022)

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Article Engineering, Mechanical

Dynamic performance of a novel integral magnetorheological damper-rotor system

Jun Wang et al.

Summary: Magnetorheological dampers (MRDs) are effective in vibration control in rotor systems, but they have limitations in dealing with nonlinear behaviors under large eccentricity and controlling the direction of damping force. To address these issues, this paper proposes an integral magnetorheological damper (IMRD) that allows adjustable magnitude and direction of oil film force. The IMRD model is implemented in a flexible rotor system, and the results show that IMRD can provide pure damping with adjustable stiffness and reduce nonlinearity compared to traditional MRDs.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2022)

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Article Engineering, Mechanical

Coupling vibration characteristics of the shaft-disk-drum rotor system with bolted joints

Tianrui Yang et al.

Summary: In this paper, a finite element model is established to analyze the effects of rotating-flexible shaft-disk-drum system with bolted joints. The model takes into account rotation-induced effects and is validated by literature and experiments. Several conclusions are drawn regarding the natural characteristics of the SDR system.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2022)

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Article Engineering, Mechanical

A novel nonlocal higher-order theory for the accurate vibration analysis of 2D FG nanoplates

Juanjuan Xie et al.

Summary: This paper studies the vibration analysis of 2D-FG nanoplate based on a novel higher-order shear deformation theory. The mechanical properties of the nanoplate change along length and thickness directions. Results show that the natural frequency of the system is significantly affected by various parameters, especially the small-scale parameter.

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE (2022)

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Review Engineering, Mechanical

The peridynamic differential operator for solving time-fractional partial differential equations

Vahid Reza Hosseini et al.

Summary: This paper investigates the numerical solution of time-fractional convection diffusion equations (TF-CDEs), and develops a nonlocal model using the Peridynamic differential operator for discretization. The proposed scheme is analyzed for stability and error estimates, and numerical experiments are conducted to validate the theoretical analysis and demonstrate computational efficiency.

NONLINEAR DYNAMICS (2022)

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Article Physics, Condensed Matter

Nonlocal strain gradient IGA numerical solution for static bending, free vibration and buckling of sigmoid FG sandwich nanoplate

Thanh Cuong-Le et al.

Summary: A numerical isogeometric solution based on the nonlocal strain gradient elasticity theory is presented for the static bending, free vibration, and buckling analysis of sigmoid functionally graded (S-FG) nanoplates. The study explores the effects of material variation, neutral axis location, nonlocal parameter, strain gradient parameter, and material index on the responses of S-FG nanoplates.

PHYSICA B-CONDENSED MATTER (2022)

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Article Physics, Condensed Matter

Torsional and longitudinal vibration analysis of a porous nanorod with arbitrary boundaries

Omer Civalek et al.

Summary: This study presents the free torsional and axial vibrations of porous nanorods with torsional and axial elastic boundary conditions using Eringen's nonlocal elasticity theory. It introduces a model that considers both porosity and small size effects with deformable boundary conditions. The study aims to construct a general eigenvalue algorithm for the vibration frequencies of porous nanorods subjected to deformable and rigid boundary conditions. The effects of various parameters on the vibration frequencies are investigated and conclusions are drawn.

PHYSICA B-CONDENSED MATTER (2022)

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Article Physics, Multidisciplinary

Nonlocal nonlinear static/dynamic snap-through buckling and vibration of thermally post-buckled imperfect functionally graded circular nanoplates

E. Salari et al.

Summary: This article investigates the thermal post-buckling, nonlinear bending, and vibration behavior of functionally graded circular nanoplates in bifurcation buckling. It presents the static and dynamic characteristics of the thermally post-buckled nanoplate subjected to different types of mechanical load, and analyzes the influences of various parameters on the nanosystem.

WAVES IN RANDOM AND COMPLEX MEDIA (2022)

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Article Physics, Multidisciplinary

Resonator vibration of a magneto-electro-elastic nano-plate integrated with FGM layer subjected to the nano mass-Spring-damper system and a moving load

Mehrdad Farajzadeh Ahari et al.

Summary: The present study investigates the vibration characteristics of a composite nanoplate with an attached nano mass-spring-damper system. By using nonlocal theory and shear deformation theory, the effects of various parameters on the system are analyzed. The results indicate that increasing the thickness of the magneto-electro-elastic layer can enhance the natural frequency of the nanoplate.

WAVES IN RANDOM AND COMPLEX MEDIA (2022)

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Article Physics, Multidisciplinary

Vibration analysis of cracked plates resting on elastic foundation via moving least squares differential quadrature method

Ola Ragb et al.

Summary: This work employs the moving least squares differential quadrature scheme to analyze the free vibration of cracked plates on a Winkler-Pasternak elastic foundation. Two types of cracks are studied, and the problem is formulated using transverse shear deformation theory and a line spring model. The accuracy and efficiency of the results are validated through comparison with exact, experimental, and numerical results. The study also examines the effects of different boundary conditions, crack characteristics, and foundation parameters on vibration frequencies and mode shapes.

WAVES IN RANDOM AND COMPLEX MEDIA (2022)

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Article Physics, Multidisciplinary

Dynamic and frequency responses of the FG nanopipe using deep neural network and nonlocal strain/stress gradient theory

Lifeng Lian et al.

Summary: This research presents the application of physics-informed supervised neural networks in predicting the vibration behavior of nano-structures. Data-driven solutions and discoveries are proposed for determining natural frequencies. The study validates the outcomes by comparing them with deep neural network results and open sources in the literature. The findings can be used as a reference for the design and application of concrete nanostructures.

WAVES IN RANDOM AND COMPLEX MEDIA (2022)

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Article Chemistry, Multidisciplinary

Microstructural properties of novel nanocomposite material based on hydroxyapatite and carbon nanotubes: fabrication and nonlinear instability simulation

S. Sahmani et al.

Summary: A novel porous bio-nanocomposite material containing single-walled carbon nanotubes and hydroxyapatite was fabricated, enhancing the mechanical strength of the matrix. Coated samples showed higher porosity and strength, making them suitable for bone tissue engineering applications.

JOURNAL OF NANOSTRUCTURE IN CHEMISTRY (2022)

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Article Engineering, Mechanical

Piezoelectricity and length scale effect on the vibrational behaviors of circular sandwich micro-plates

M. Shahrokhi et al.

Summary: This paper analytically studies the vibrational behaviors of circular and annular sandwich micro-plates coupled with two piezoelectric layers, using Hamilton's principle and classical plate theory. The modified couple stress theory is employed to consider the effect of material properties depending on dimensions at micro-scale. The natural frequencies for various boundary conditions are calculated under open and close circuit electric conditions, showing that the natural frequencies for open piezoelectric micro-plates are larger than the closed ones.

JOURNAL OF SANDWICH STRUCTURES & MATERIALS (2021)

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Article Engineering, Mechanical

Nonlinear forced vibration of graphene/piezoelectric sandwich nanoplates subjected to a mechanical shock

Majid Ghadiri et al.

Summary: This paper investigates the nonlinear frequency response of graphene/piezoelectric sandwich nanoplates under electric voltage and shock force pulse. By employing mathematical models, the study emphasizes the effects of voltage and shock force on vibration behavior, showing that thickness and excitations significantly influence the nonlinear frequency response.

JOURNAL OF SANDWICH STRUCTURES & MATERIALS (2021)

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Article Engineering, Mechanical

Determination of thermoelastic stress wave propagation in nanocomposite sandwich plates reinforced by clusters of carbon nanotubes

Babak Safaei et al.

Summary: By adding small amounts of carbon nanotubes (CNTs) to sandwich structures, the thermo-mechanical responses can be significantly improved. However, the formation of CNT clusters can dramatically affect the mechanical properties of the resulted nanocomposites. This study investigated the effects of CNT cluster size, distribution, and volume fraction on the thermoelastic dynamic behavior of nanocomposite sandwich plates.

JOURNAL OF SANDWICH STRUCTURES & MATERIALS (2021)

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Article Materials Science, Composites

Mindlin's strain gradient theory for vibration analysis of FG-CNT-reinforced composite nanoplates resting on Kerr foundation in thermal environment

Hosein Shahraki et al.

Summary: This article investigates the application of simplified Mindlin's strain gradient theory in the free vibration analysis of functionally graded carbon nanotube-reinforced composite nanoplates resting on Kerr elastic foundation in a thermal environment. The study assumes temperature-dependent properties of CNTs and the polymeric matrix, and considers the distribution of CNTs across the nanoplate's thickness to be either uniform or functionally graded. The results suggest that size parameter and temperature changes play significant roles in determining natural frequencies.

JOURNAL OF THERMOPLASTIC COMPOSITE MATERIALS (2021)

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Article Mechanics

Postbuckling analysis of axially loaded nanoscaled shells embedded in elastic foundations based on Ru's surface elasticity theory

Yuan Yuan et al.

Summary: The nonlinear buckling and postbuckling characteristics of cylindrical nanoshells embedded in elastic foundations are investigated. It is found that surface effects lead to initial shortening before applying axial compression, which diminishes quickly with increasing shell thickness.

MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES (2021)

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Article Materials Science, Multidisciplinary

Analytical solution of cross- and angle-ply nano plates with strain gradient theory for linear vibrations and buckling

F. Cornacchia et al.

Summary: The study investigates vibrations and buckling of Kirchhoff nano plates using second-order strain gradient theory. Different boundary conditions, stacking sequences, geometries, and material properties are considered, with numerical simulations discussing the effects of plate aspect ratio and non-local ratio. A comparison with classical analytical solutions is provided for buckling loads and fundamental frequencies whenever possible.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2021)

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Article Materials Science, Multidisciplinary

Nonlocal free and forced vibration of multilayered two-dimensional quasicrystal nanoplates

Yang Li et al.

Summary: A three-dimensional plate model capturing the size effect was developed for the free and forced vibration of a layered two-dimensional quasicrystal nanoplate. By utilizing pseudo-Stroh formalism, Eringen's nonlocal theory, and a dual variable and position method, the exact solution for the nanoplate was obtained, showing the effects of nonlocal parameter, stacking sequence, and aspect ratio on natural and forcing frequencies.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2021)

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Article Computer Science, Interdisciplinary Applications

Vibration analysis of porous magneto-electro-elastically actuated carbon nanotube-reinforced composite sandwich plate based on a refined plate theory

Farzad Ebrahimi et al.

Summary: This article investigates the free vibration response of sandwich plates with MEE-FG materials and FG-CNTRC materials, using four-variable shear deformation refined plate theory, modified material properties, and a mixture rule. The numerical results can serve as benchmarks for future research on structures with porous mediums.

ENGINEERING WITH COMPUTERS (2021)

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Article Computer Science, Interdisciplinary Applications

Nonlinear dynamics and stability of viscoelastic nanoplates considering residual surface stress and surface elasticity effects: a parametric excitation analysis

Farzad Ebrahimi et al.

Summary: This study investigates the influence of surface effect on the nonlinear dynamic instability of viscoelastic nanoplates under parametric excitation. Using modeling, nonlocal elasticity, nonlinear von Karman theories, a class of nonlinear Mathieu-Hill equation is established to determine bifurcations. The numerical results show the impact of residual surface stress, visco-Pasternak foundation coefficients, and parametric excitation on the dynamic instability of viscoelastic nanoplates.

ENGINEERING WITH COMPUTERS (2021)

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Article Computer Science, Interdisciplinary Applications

Nonlinear secondary resonance of FG porous silicon nanobeams under periodic hard excitations based on surface elasticity theory

Banghua Xie et al.

Summary: The study aims to predict the influence of surface free energy on the nonlinear secondary resonance of functionally graded porous silicon nanobeams, control the mechanical properties of FG porous material, and explore the frequency response and amplitude response characteristics under different porosity dispersion patterns.

ENGINEERING WITH COMPUTERS (2021)

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Article Computer Science, Interdisciplinary Applications

Nonlinear dynamics and vibration of reinforced piezoelectric scale-dependent plates as a class of nonlinear Mathieu-Hill systems: parametric excitation analysis

Ali Shariati et al.

Summary: This paper investigates the nonlinear dynamic instability of reinforced piezoelectric nanoplates caused by parametric excitation. The analysis reveals bifurcations in the system and emphasizes the effects of applied electric voltage, visco-Pasternak foundation coefficients, and parametric excitation on the instability. The results suggest that the damping coefficient influences the bifurcation point variation, while the amplitude response depends on the term of the natural frequency.

ENGINEERING WITH COMPUTERS (2021)

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Article Computer Science, Interdisciplinary Applications

Postbuckling analysis of hydrostatic pressurized FGM microsized shells including strain gradient and stress-driven nonlocal effects

Xiaohui Yang et al.

Summary: This study examines the size-dependent nonlinear buckling and postbuckling behavior of microsized shells made of functionally graded material (FGM) under hydrostatic pressure using the theory of nonlocal strain gradient elasticity. The incorporation of nonlocality and strain gradient micro-size dependency into a shell theory results in a more comprehensive model with refined distribution of shear deformation. The Mori-Tanaka homogenization scheme is used to estimate effective material properties of FGM nanoshells, and perturbation-based solving process is employed to extract explicit expressions for stability paths of hydrostatic pressurized FGM microsized shells with nonlocal strain gradient effects.

ENGINEERING WITH COMPUTERS (2021)

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Article Engineering, Mechanical

Vibration and nonlinear dynamic analysis of variable thickness sandwich laminated composite panel in thermal environment

Duc D. Nguyen et al.

Summary: This paper investigates the vibration and nonlinear dynamic characteristics of sandwich laminated composite panels with variable thickness in a thermal environment, considering factors such as geometric nonlinearity and initial geometric imperfections. Through the first-order shear deformation theory, the design of composite panels is affected by the ability to tailor stiffness features while keeping weight constant. The study shows that varying thickness can lead to an improved dynamic behavior of the structure.

JOURNAL OF SANDWICH STRUCTURES & MATERIALS (2021)

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Article Materials Science, Multidisciplinary

Nonlocal thermo-viscoelasticity and its application in size-dependent responses of bi-layered composite viscoelastic nanoplate under nonuniform temperature for vibration control

Chenlin Li et al.

Summary: This study aims to develop a size-dependent thermo-viscoelastic coupling model and investigate the transient responses of a bi-layered composite viscoelastic nanoplate.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2021)

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Article Engineering, Multidisciplinary

Size dependent free vibration analysis of functionally graded piezoelectric micro/nano shell based on modified couple stress theory with considering thickness stretching effect

Maryam Lori Dehsaraji et al.

Summary: This paper employs higher-order shear and normal deformation theory to analyze the free vibration of cylindrical micro/nano shells, taking into account thickness stretching effect and size dependency. Numerical results are used to investigate the impact of geometric parameters, material properties, applied voltages, and temperature rising on the free vibration responses.

DEFENCE TECHNOLOGY (2021)

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Article Engineering, Mechanical

Temperature effect on free vibration response of a smart multifunctional sandwich plate

Rasool Moradi-Dastjerdi et al.

Summary: This paper introduces a smart multifunctional sandwich plate with various applications through proper arrangement of layers. The study reveals the effects of temperature conditions and piezoelectric behavior on the natural frequencies of the sandwich plate. Evaluation of mechanical properties of polymer/graphene nanocomposite using modified Halpin-Tsai approach is discussed.

JOURNAL OF SANDWICH STRUCTURES & MATERIALS (2021)

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Article Engineering, Mechanical

On vibration of functionally graded sandwich nanoplates in the thermal environment

Ahmed Amine Daikh et al.

Summary: This paper investigates the free vibration response of rectangular functionally graded material sandwich nanoplates with different combinations of material gradients. Numerical results were used to analyze the effects of various parameters on the free vibration response.

JOURNAL OF SANDWICH STRUCTURES & MATERIALS (2021)

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Article Engineering, Mechanical

Low-velocity impact analysis of viscoelastic composite laminated nanoplate based on nonlocal strain gradient theory for different boundary conditions

Peyman Rashidpour et al.

Summary: This study investigates the dynamic behavior of nanoparticle low-velocity impact on viscoelastic laminated composite nanoplate. It reveals the impact response of nanoplate affected by various factors such as particle initial velocity, particle radius, viscoelastic modulus, fiber orientation, nonlocal parameter, length scale parameter, and different boundary conditions.

JOURNAL OF SANDWICH STRUCTURES & MATERIALS (2021)

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Article Acoustics

Frequency characteristics of a viscoelastic graphene nanoplatelet-reinforced composite circular microplate

Aria Ghabussi et al.

Summary: This study examines the frequency analysis of a graphene nanoplatelet composite circular microplate using a numerical-based generalized differential quadrature method. It finds that factors such as the outer to inner radius ratio, length scale and nonlocal to thickness ratios, and graphene nanoplatelet weight fraction significantly influence the frequency characteristics of the microplate. The research suggests that for designing such microplates, attention should be paid to factors like outer to inner radius ratio, graphene nanoplatelet weight fraction, and their interplay.

JOURNAL OF VIBRATION AND CONTROL (2021)

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Article Acoustics

Nonlinear vibration analysis of two-phase local/nonlocal nanobeams with size-dependent nonlinearity by using Galerkin method

Mahmood Fakher et al.

Summary: It has been shown that using pure nonlocal elasticity can lead to inconsistent and unreliable results, prompting researchers to utilize Eringen's two-phase local/nonlocal elasticity to consider the nonlocal size dependency of nanostructures. This article investigates the size-dependent nonlinear free vibration of nanobeams within the two-phase elasticity framework, introducing the proper use of the Galerkin method for studying nonlinear vibration. The study highlights the importance of considering integral form of two-phase elasticity in the Galerkin method and the potential errors in using classic mode shapes.

JOURNAL OF VIBRATION AND CONTROL (2021)

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Article Materials Science, Multidisciplinary

Long-term lateral-torsional buckling behavior of pin-ended CFST arches under uniform radial loads and temperature field

Yonghui Huang et al.

Summary: This paper presents analytical solutions for the long-term lateral-torsional buckling behavior of concrete filled steel tubular arches subjected to radial loads and temperature effects. The results show that the buckling load of the arch decreases significantly with increasing time and temperature. The analytical solutions are in good agreement with finite element analysis results, providing guidance for safer design of CFST arches.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2021)

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Article Mechanics

A variational method for post-buckling analysis of end-supported nanorods under self-weight with surface stress effect

Chinnawut Juntarasaid et al.

Summary: This paper developed the post-buckling formulation of end-supported nanorods under self-weight using the variational method, considering the surface stress effect based on Gurtin-Murdoch's theory. The variational formulation expressed in terms of intrinsic coordinates is recommended for post-buckling analysis. The surface stress effect significantly influenced the post-buckling response of nanorods, showcasing its importance in the design and application of advanced technological devices.

ARCHIVE OF APPLIED MECHANICS (2021)

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Article Mechanics

Random vibrations of stress-driven nonlocal beams with external damping

Francesco P. Pinnola et al.

Summary: This study investigates the stochastic flexural vibrations of small-scale Bernoulli-Euler beams with external damping using stress-driven nonlocal mechanics. Damping effects are simulated by considering viscous interactions between the beam and its surrounding environment. Loadings are modeled by accounting for their random nature, providing a comprehensive description of the beam's dynamic behavior.

MECCANICA (2021)

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Article Mechanics

Nonlinear free vibrations analysis of geometrically imperfect FG nano-beams based on stress-driven nonlocal elasticity with initial pretension force

Rosa Penna et al.

Summary: The study investigates the size-dependent flexural nonlinear free vibrations of geometrically imperfect functionally graded nano-beams using the stress-driven nonlocal integral model (SDM). The Galerkin method is applied to derive a nonlinear ordinary differential equation, and the closed form analytical solution of the nonlinear natural flexural frequency for different boundary conditions is established using the Hamiltonian approach. The effects of nonlocal scale parameter and initial axial tension force on fundamental frequencies are examined and compared with results obtained from Eringen's nonlocal model. The study demonstrates that the nonlinear approach based on nonlocal stress model is effective in capturing the dynamical responses of nano-beams and is advantageous for the design and optimization of nano-scaled components in NEMS.

COMPOSITE STRUCTURES (2021)

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Article Computer Science, Interdisciplinary Applications

Couple stress-based dynamic stability analysis of functionally graded composite truncated conical microshells with magnetostrictive facesheets embedded within nonlinear viscoelastic foundations

Lingjiao Fan et al.

Summary: This paper examines the size-dependent dynamic stability of axially loaded functionally graded composite truncated conical microshells, considering magnetostrictive facesheets and nonlinear viscoelastic foundations. The study reveals that the significance of couple stress type of size dependency on frequency increases from prebuckling to postbuckling domain, while an increase in material gradient index decreases its importance. Additionally, applying positive and negative magnetic fields to the microshells results in frequency changes at specific axial load values in prebuckling and postbuckling domains.

ENGINEERING WITH COMPUTERS (2021)

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Article Materials Science, Multidisciplinary

Dynamic stability and vibration of two-phase local/nonlocal VFGP nanobeams incorporating surface effects and different boundary conditions

Shahin Behdad et al.

Summary: The study demonstrates that using two-phase local/nonlocal elasticity theory is more suitable for analyzing the dynamic stability and damping vibration of Timoshenko nanobeams subjected to an axial load, compared to the fully nonlocal elasticity theory. This approach allows for studying the size-dependent vibration and stability under various boundary conditions.

MECHANICS OF MATERIALS (2021)

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Article Engineering, Mechanical

Bending and free vibration analyses of functionally graded material nanoplates via a novel nonlocal single variable shear deformation plate theory

Le Kha Hoa et al.

Summary: A novel nonlocal shear deformation theory is established to investigate functionally graded nanoplates, which shows accurate and convergent results through numerical solutions and parameter studies.

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE (2021)

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Article Engineering, Mechanical

New higher-order shear deformation theory for bending analysis of the two-dimensionally functionally graded nanoplates

Qikai Wang et al.

Summary: This study focuses on bending analysis of 2D FG nanoplates using a new high-order shear deformation theory, investigating the effects of various parameters on bending deflection and providing valid benchmarks for further nanoplate analyses.

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE (2021)

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Review Mechanics

A review of dynamic analyses of single- and multi-layered graphene sheets/nanoplates using various nonlocal continuum mechanics-based plate theories

Chih-Ping Wu et al.

Summary: This article provides an overview of dynamic analyses of single-/multi-layered graphene sheets and nanoplates using various 2D nonlocal continuum mechanics-based plate theories. Strong formulations of these theories are derived for free vibration analysis of embedded graphene sheets, and Navier-type solutions are obtained for free vibration problems of simply supported sheets and nanoplates in an elastic medium. Various mechanical behaviors of these structures are examined using different nonlocal plate theories, including bending, free vibration, buckling, and dynamic instability.

ACTA MECHANICA (2021)

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Article Mechanics

On the symplectic superposition method for new analytic bending, buckling, and free vibration solutions of rectangular nanoplates with all edges free

Mingqi Huang et al.

Summary: This paper presents a new method based on the symplectic approach for analytical bending, buckling, and free vibration solutions of nanoplates. By transforming the problems into the Hamiltonian system expression, the original problem is converted into superposition of several subproblems, resulting in analytical solutions for bending deflection, natural frequency, and buckling load.

ACTA MECHANICA (2021)

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Article Materials Science, Multidisciplinary

Enhanced mechanical properties of epoxy-based nanocomposites reinforced with functionalized carbon nanobuds

H. Badjian et al.

Summary: The study compares the effects of using carbon nanotubes and carbon nanobuds as reinforcement phases in nanocomposites, finding that functionalized carbon nanobuds combined with a specific cross-linking degree of the epoxy matrix can significantly enhance the tensile longitudinal property and shear and transverse elastic stiffness.

APPLIED PHYSICS A-MATERIALS SCIENCE & PROCESSING (2021)

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Article Mechanics

Isogeometric nonlinear oscillations of nonlocal strain gradient PFGM micro/nano-plates via NURBS-based formulation

Fan Fan et al.

Summary: This study investigates the size-dependent analysis of the geometrically nonlinear vibration response of micro/nano-plates made of porous functionally graded material (PFGM) with and without a central cutout, considering nonlocality and strain gradient size dependencies. It is found that the increase in nonlinear frequency due to the strain gradient size effect is greater than the reduction caused by nonlocality. Additionally, there is a specific length to thickness ratio value at which the nonlocal strain gradient frequency ratio becomes minimum, and this value increases with the porosity index of PFGM micro/nano-plates.

COMPOSITE STRUCTURES (2021)

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Article Mechanics

Isogeometric thermal postbuckling analysis of porous FGM quasi-3D nanoplates having cutouts with different shapes based upon surface stress elasticity

Fan Fan et al.

Summary: In this study, a surface elastic-based three-dimensional nonlinear formulation was used to explore the thermal postbuckling characteristics of porous composite nanoplates made of functionally graded materials (FGM). The study found that for higher material gradient indexes, the surface stress size dependency plays a more important role in the thermal postbuckling.

COMPOSITE STRUCTURES (2021)

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Article Mechanics

An analytical approach for nonlinear thermo-electro-elastic forced vibration of piezoelectric penta - Graphene plates

Tran Quoc Quan et al.

Summary: This paper investigates the nonlinear forced vibration of imperfect penta-graphene plates integrated with piezoelectric actuator layers, considering mechanical, thermal, and electrical loadings. The study establishes governing equations based on the first order shear deformation plate theory and obtains numerical results showing various effects on the vibration behavior.

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2021)

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Article Mechanics

Deep autoencoder based energy method for the bending, vibration, and buckling analysis of Kirchhoff plates with transfer learning

Xiaoying Zhuang et al.

Summary: This paper introduces a Deep Autoencoder based Energy Method (DAEM) for the bending, vibration, and buckling analysis of Kirchhoff plates. The DAEM utilizes higher-order continuity, integrates a deep autoencoder and the minimum total potential principle, and serves as an unsupervised feature learning method. It efficiently identifies patterns, minimizes total potential energy, extracts fundamental frequencies and critical buckling loads, alleviates gradient problems, and improves computational efficiency and generality through transfer learning.

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2021)

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Article Mechanics

Hygrothermal vibration of adaptive composite magnetostrictive laminates supported by elastic substrate medium

Ashraf M. Zenkour et al.

Summary: In this study, the vibration of a simply supported rectangular composite laminated plate with four actuating magnetostrictive layers was analyzed. The effects of temperature and moisture concentrations on the vibration behavior were investigated, indicating that increasing intelligent actuating layers improves the vibration damping process, but their position also plays a crucial role. Additionally, hygrothermal conditions reduce the ability of smart components to suppress structure vibration.

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2021)

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Article Engineering, Multidisciplinary

A nonlocal operator method for finite deformation higher-order gradient elasticity

Huilong Ren et al.

Summary: A general finite deformation higher-order gradient elasticity theory is proposed in the paper, reducing the material parameters significantly under certain simplifications. A nonlocal operator method is developed and applied to numerical examples, demonstrating the stiffness response of the high gradient solid theory and the capability of the nonlocal operator method in solving higher-order physical problems.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2021)

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Article Chemistry, Physical

Theorical investigation of adsorption mechanism of doxorubicin anticancer drug on the pristine and functionalized single-walled carbon nanotube surface as a drug delivery vehicle: A DFT study

Sina Karimzadeh et al.

Summary: The interaction and bond properties between doxorubicin, SWCNT, and functionalized SWCNT were studied, revealing the importance of hydroxyl and carboxyl functionalized CNT in the adsorption and fixation of complexes.

JOURNAL OF MOLECULAR LIQUIDS (2021)

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Article Engineering, Multidisciplinary

Quasi-static and dynamic fracture modeling by the nonlocal operator method

Yongzheng Zhang et al.

Summary: In this paper, a phase field model is developed and applied to simulate quasi-static and dynamic fracture using the nonlocal operator method (NOM). The method simplifies the implementation by replacing shape functions with differential operators. Two types of phase field models, implicit and explicit, are proposed for different fracture problems. Several benchmark examples are solved to demonstrate the performance of the method.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2021)

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Article Engineering, Multidisciplinary

Finite element method for stress-driven nonlocal beams

Francesco Paolo Pinnola et al.

Summary: The bending behavior of systems of straight elastic beams at different scales is investigated using stress-driven nonlocal continuum mechanics, and an effective computational methodology is developed to accurately account for long-range interactions.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2021)

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Article Polymer Science

Modeling Study of Propane/Propylene Membrane Separation Using CFD Method

Siamak Safaei et al.

Summary: This study analyzed the membrane separation of propane/propylene using computational fluid dynamic method, demonstrating that countercurrent flow has a more positive effect compared to cocurrent flow in all parameters investigated.

MACROMOLECULAR THEORY AND SIMULATIONS (2021)

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Article Physics, Condensed Matter

Application of nonlocal modified couple stress to study of functionally graded piezoelectric plates

F. Attar et al.

Summary: This paper investigates a size-dependent functionally graded piezoelectric plate model based on the combination of modified couple stress and nonlocal elasticity theories, named nonlocal modified couple stress theory. By comparing the effects of various parameters on normalized natural frequencies, conclusions about free vibration are drawn.

PHYSICA B-CONDENSED MATTER (2021)

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Article Engineering, Civil

Buckling and free vibration analyses of a sandwich beam made of a soft core with FG-GNPs reinforced composite face-sheets using Ritz Method

Mohammad Arefi et al.

Summary: This paper investigates buckling and free vibration analyses of a sandwich beam composed of functionally graded graphene nanoplatelets reinforced composite face sheets. Kinematic relations are developed based on Extended Higher-Order Sandwich Beam Theory and governing equations are derived using Ritz-Lagrange formulation. Effective mechanical properties of the composites are obtained from micro-mechanical models and the Ritz Method is used to obtain numerical results.

THIN-WALLED STRUCTURES (2021)

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Article Engineering, Multidisciplinary

On the calibration of size parameters related to non-classical continuum theories using molecular dynamics simulations

Mojtaba Shariati et al.

Summary: This research focuses on the calibration of small-scale parameters of non-classical continuum theories for circular nanoplates, using various methods and techniques such as GDQR and molecular dynamics simulation. It was found that the nonlocal strain gradient method aligns well with the results of molecular dynamics in predicting natural frequencies, while other methods such as stress-driven nonlocal and strain-driven nonlocal elasticity have discrepancies in their predictions. These findings are valuable for researchers in non-classical continuum mechanics.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2021)

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Article Thermodynamics

Vibration analysis of FGM plates in thermal environment resting on elastic foundation using ES-MITC3 element and prediction of ANN

Trung Thanh Tran et al.

Summary: This article presents numerical results of free vibration analysis of functionally graded material plates on elastic foundation in thermal environment using ES-FEM and MITC3. The study compares numerical examples with published works to demonstrate reliability and accuracy, and investigates the effects of various parameters on the vibration behavior. Additionally, an artificial neural network is trained to predict the fundamental frequency of the plates accurately.

CASE STUDIES IN THERMAL ENGINEERING (2021)

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Article Mechanics

The effects of multi-directional functionally graded materials on the natural frequency of the doubly-curved nanoshells

Yan Cao et al.

Summary: This paper investigates the free vibration of three dimensionally functionally graded (FG) nanoplates and nanoshells for the first time, considering the small scale effect due to nanostructures and the influence of nonlocal parameters on natural frequencies. The results presented in this study can serve as benchmarks for future mechanical analysis of three-dimensionally FG shell structures.

COMPOSITE STRUCTURES (2021)

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Article Mechanics

Nonlinear frequency behaviour of magneto-electromechanical mass nanosensors using vibrating MEE nanoplates with multiple nanoparticles

Ali Farajpour et al.

Summary: Nanomechanical mass sensors detect ultrasmall particles by observing changes in vibration behavior due to nanoparticle attachment, incorporating strain gradient influence and nonlocality of stress components in nonlinear analysis. Nonlinear equations are solved using Hamilton's principle and perturbation technique, with verification studies and investigations into factors affecting frequency shifts.

COMPOSITE STRUCTURES (2021)

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Article Engineering, Multidisciplinary

Data-driven learning of nonlocal physics from high-fidelity synthetic data

Huaiqian You et al.

Summary: This work presents a method for extracting nonlocal models from data, overcoming the challenges of analytical complexity and posterior justification, to provide data-driven justification for the resulting model form. The approach allows extraction of surrogates with provably well-posed and numerically stable properties, even in small-data regimes.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2021)

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Article Computer Science, Interdisciplinary Applications

Size-dependent nonlinear bending behavior of porous FGM quasi-3D microplates with a central cutout based on nonlocal strain gradient isogeometric finite element modelling

Shan-Xiang Chen et al.

Summary: By utilizing the NURBS-based isogeometric technique, the size-dependent geometrically nonlinear bending characteristics of microplates made of porous FGMs were studied. It was found that the influence of both nonlocality and strain gradient decreases and that a central cutout can change the trend of load-deflection response.

ENGINEERING WITH COMPUTERS (2021)

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Review Chemistry, Multidisciplinary

Nonlocal elasticity and boundary condition paradoxes: a review

S. Ceballes et al.

Summary: Nonclassical continuum mechanics theories, particularly Eringen's nonlocal theory, have been widely implemented in research on micro/nano-scale systems. However, discrepancies and proposed solutions have emerged when utilizing this theory in certain boundary and loading conditions.

JOURNAL OF NANOPARTICLE RESEARCH (2021)

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Article Acoustics

Nonlinear vibrations of fiber-reinforced composite cylindrical shells with bolt loosening boundary conditions

Hui Li et al.

Summary: This paper investigates the nonlinear vibrations of fiber-reinforced composite cylindrical shells with bolted joint boundary conditions, considering the nonlinear amplitude-dependent material property of FRCs and partial bolt loosening conditions. The study uses theoretical modeling and experimental validation to analyze the effects of bolt loosening degree and number on natural frequencies, damping ratios, and resonant response amplitudes of FRCCS structures. The results show that increased bolt loosening leads to decreased natural frequencies, increased damping ratios, and resonant response amplitudes due to the coupling effect of decreased boundary stiffness and increased boundary damping.

JOURNAL OF SOUND AND VIBRATION (2021)

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Article Nanoscience & Nanotechnology

Nonlinear forced vibrations of initially curved rectangular single layer graphene sheets: An analytical approach

Milad Saadatmand et al.

Summary: Geometrical imperfections and residual stresses, which have not been considered in previous research works, are vital aspects influencing the forced nonlinear vibrational behavior of graphene sheets. This study fills an important gap by deriving partial differential equations of the displacement field using nonlocal plate theory and Galerkin decomposition method. The influences of external pressure, nonlocal parameter, geometric imperfection and residual stress on the system are comprehensively presented, with a counteracting effect of imperfections observed in certain cases.

PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES (2021)

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Article Engineering, Civil

Buckling and postbuckling response of nonlocal strain gradient porous functionally graded micro/nano-plates via NURBS-based isogeometric analysis

Fan Fan et al.

Summary: The study shows that considering geometric nonlinearity and moving to deeper part of the postbuckling regime reduces the significance of both nonlocality and strain gradient size dependencies. Additionally, increasing the material property gradient index results in an enhancement of nonlocal and strain gradient size effects, especially in the deeper part of the postbuckling domain. Moreover, the study demonstrates that the porosity index has a negligible influence on the significance of size dependencies for a PFGM micro/nano-plate, regardless of the boundary conditions.

THIN-WALLED STRUCTURES (2021)

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Article Engineering, Civil

Dynamic stability of nonlocal strain gradient FGM truncated conical microshells integrated with magnetostrictive facesheets resting on a nonlinear viscoelastic foundation

Yuan Yuan et al.

Summary: The objective of this study is to predict the size-dependent dynamic stability of truncated conical microshells made of functionally graded material integrated with magnetostrictive facesheets. Through numerical simulations, it is found that increasing the material gradient index results in a decrease in nonlocal strain gradient frequency within the prebuckling regime and plays an opposite role within the postbuckling domain.

THIN-WALLED STRUCTURES (2021)

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Article Engineering, Civil

Nonlinear vibration analysis of fiber metal laminated plates with multiple viscoelastic layers

Hui Li et al.

Summary: An analytical model accounting for both material and geometric nonlinearities is proposed to predict the vibration behaviors of multiple viscoelastic-layered fiber metal laminated plates. Experimental validation shows that increasing base excitation amplitude leads to complex nonlinear vibration characteristics changes, influencing the natural frequencies and damping parameters.

THIN-WALLED STRUCTURES (2021)

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Article Physics, Multidisciplinary

On thermoelastic damping in axisymmetric vibrations of circular nanoplates: incorporation of size effect into structural and thermal areas

Feigao Li et al.

Summary: This paper evaluates thermoelastic damping in circular plates by incorporating nonlocal effects and establishes nonclassical coupled thermoelastic equations. The study reveals significant discrepancies between classical and nonclassical results as nanoplate dimensions decrease, providing undeniable evidence of size effect on the mechanical behavior of nanostructures.

EUROPEAN PHYSICAL JOURNAL PLUS (2021)

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Article Physics, Multidisciplinary

Influence of couple stress size dependency in thermal instability of porous functionally graded composite microplates having different central cutouts

Duquan Zuo et al.

Summary: In this study, the isogeometric numerical solving process incorporating non-uniform rational B-splines is used to analyze the size-dependent thermal postbuckling behavior of porous FG microplates with different central cutout shapes. The results show that the gap between thermal postbuckling equilibrium paths under couple stress is slightly higher than the classical approach. A central cutout changes the trend of the load-deflection response, reducing the initial thermal postbuckling strength but enhancing the microplate strength in the deep thermal postbuckling region.

WAVES IN RANDOM AND COMPLEX MEDIA (2021)

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Article Physics, Multidisciplinary

Longitudinal vibration analysis of FG nanorod restrained with axial springs using doublet mechanics

Omer Civalek et al.

Summary: The paper presents the free longitudinal vibration response of axially restrained functionally graded nanorods for the first time, showing that various parameters significantly influence the vibration behavior of the nanorods.

WAVES IN RANDOM AND COMPLEX MEDIA (2021)

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Article Physics, Multidisciplinary

Thermo-electrical vibration investigation of the circular FG nanoplates based on nonlocal higher-order plate theory

Lina Liu et al.

Summary: This research examines the thermo-electrical vibration of FG circular nanoplates using nonlocal higher-order plate theory, taking into account the mechanical properties varying through thickness and employing the differential quadrature technique to analyze the impact of variables on vibration characteristics.

EUROPEAN PHYSICAL JOURNAL PLUS (2021)

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Article Engineering, Multidisciplinary

Applying nonlocal strain gradient theory to size-dependent analysis of functionally graded carbon nanotube-reinforced composite nanoplates

Pham Toan Thang et al.

Summary: This research paper investigates the vibrational responses of functionally graded carbon nanotube-reinforced composite nanoplates considering the effect of nonlocal parameter and strain gradient coefficient. By studying four types of CNT distribution under small length scale effects, the study aims to estimate the fundamental natural frequencies in FG-CNTRC nanoplates. The mathematical modeling and analytical solutions provide insights into how the small length-scale influences the vibrational behavior of nanoplates.

APPLIED MATHEMATICAL MODELLING (2021)

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Article Mathematics, Applied

Isogeometric nonlocal strain gradient quasi-three-dimensional plate model for thermal postbuckling of porous functionally graded microplates with central cutout with different shapes

Rui Song et al.

Summary: This study investigates the thermal postbuckling characteristics of a PFGM microplate with various central cutout shapes using isogeometric numerical technique. The results show that the effects of size dependency decrease as the thermal postbuckling regime deepens, while the central cutout has a significant impact on the temperature rise in the absence of nonlocality and inclusion of strain gradient size effects.

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION (2021)

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Article Materials Science, Ceramics

Effect of hexagonal structure nanoparticles on the morphological performance of the ceramic scaffold using analytical oscillation response

Ashkan Farazin et al.

Summary: The study investigated the impact of TiO2 nanoparticles on the properties of PCL porous bone implants, revealing that the addition of TiO2 can alter the physical and mechanical characteristics of the scaffolds, as well as slow down the degradation rate. The fabricated bio-nanocomposite scaffolds demonstrated high total porosity and pore sizes suitable for bone cell growth, indicating potential for use as bone substitutes.

CERAMICS INTERNATIONAL (2021)

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Article Mathematics, Applied

Nonlocal operator method for the Cahn-Hilliard phase field model

Huilong Ren et al.

Summary: This paper introduces a Nonlocal Operator Method (NOM) for solving the Cahn-Hilliard equation with higher order continuity, derived from the method of weighted residuals and implemented in 2D and 3D. The NOM considers different boundary conditions and uses variable support domains for adaptive refinement.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2021)

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Article Mathematics, Applied

On the size-dependent nonlinear thermo-electro-mechanical free vibration analysis of functionally graded flexoelectric nano-plate

Amin Ghobadi et al.

Summary: In this study, a continuous-based electromechanical model was developed to investigate the size-dependent nonlinear free vibration of functionally graded flexoelectric nano-plate. The governing equations obtained were solved using Galerkin and perturbation methods, showing the significant importance of size-dependency of material properties in the presence of flexoelectric effect at the nano-scale.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2021)

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Article Mechanics

A comprehensive nonlocal surface-piezoelectricity model for thermal and vibration analyses of piezoelectric nanoplates

Korosh Khorshidi et al.

Summary: The present study investigates the effects of surface parameters on the electro-thermal vibration characteristics of piezoelectric nanoplates using modified shear deformation plate theories. The study validated the proposed model and showed significant contribution of surface parameters in the dynamic characteristics of the structure.

COMPOSITE STRUCTURES (2021)

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Article Chemistry, Physical

Prediction effect of ethanol molecules on doxorubicin drug delivery using single-walled carbon nanotube carrier through POPC cell membrane

Sina Karimzadeh et al.

Summary: The study investigated the effects of alcohol consumption on the efficiency of the SWCNT and DOX complex using molecular dynamic simulations. Results showed that in systems containing ethanol molecules, the encapsulation of DOX molecules in SWCNTs was decreased, and VdW interactions were also reduced.

JOURNAL OF MOLECULAR LIQUIDS (2021)

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Article Engineering, Environmental

Enhanced removal efficiency of heavy metal ions from wastewater through functionalized silicon carbide membrane: A theoretical study

Sina Karimzadeh et al.

Summary: In this study, the development and design of heavy metal ion separation systems from wastewater were investigated using nano-porous silicon carbide membranes with decorated pores. The findings showed that the increase of pressure on larger pore diameters had significant effects on water flux and ion rejection. The presence of different decorated atoms at the edge of pores played a crucial role in improving water flux and ion rejection through interactions with water molecules and metal ions.

JOURNAL OF WATER PROCESS ENGINEERING (2021)

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Article Engineering, Mechanical

Influence of initial geometric imperfection on static and free vibration analyses of porous FG nanoplate using an isogeometric approach

Heidar Fazeli et al.

Summary: This paper explores the size-dependent analysis of geometrically imperfect porous functionally graded nanoplates using a refined plate theory. The study considers the simultaneous effects of initial geometric imperfection and porosity on the natural frequency and deflection of the nanoplates. The importance of parameters such as porosity, nonlocal parameter, material index, plate geometrical parameters, and imperfection amplitude on the static and free vibration behavior of the nanoplates is highlighted in the results.

JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING (2021)

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Article Engineering, Mechanical

On the local/nonlocal piezoelectric nanobeams: Vibration, buckling, and energy harvesting

Ali Naderi et al.

Summary: In this study, the vibration, buckling, and energy harvesting of piezoelectric nanobeams are investigated using a paradox-free nonlocal theory called two-phase local/nonlocal elasticity. The exact solution and a numerical solution are obtained using the governing equations derived from the two-phase elasticity and Hamilton's principle. A comparison study with common differential nonlocal elasticity shows that differential nonlocal theory is incompetent for reliable results in studying piezoelectric-based materials. This study suggests using other nonlocal theories like two-phase local/nonlocal elasticity for analyzing the mechanics of piezoelectric nanostructures.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2021)

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Article Engineering, Electrical & Electronic

被撤回的出版物: Multilevel modeling of the mechanical properties of graphene nanocomposites/polymer composites (Retracted article. See MAR, 2023)

Yong Wang et al.

Summary: This paper introduces a new multilevel modeling method for estimating the Young's modulus of polymers reinforced with graphene nanoplatelets, using molecular dynamics and micromechanical models. Uncertainties of the nanoplatelet size, volume fraction and orientation were eliminated using a stochastic approach, with results in good agreement with experimental data. This assessment method is valuable for both scientific understanding and practical applications by predicting mechanical properties of nanocomposites at different levels.

MICROSYSTEM TECHNOLOGIES-MICRO-AND NANOSYSTEMS-INFORMATION STORAGE AND PROCESSING SYSTEMS (2021)

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Article Engineering, Mechanical

Nonlinear forced vibrations of FGM sandwich cylindrical shells with porosities on an elastic substrate

Yunfei Liu et al.

Summary: The study investigates the nonlinear forced vibrations of functionally graded material (FGM) sandwich cylindrical shells with porosities on an elastic substrate. Energy approach combined with Galerkin scheme and pseudo-arclength continuation method is used to analyze the effects of core-to-thickness ratio, porosity volume fraction, power-law exponent, and external excitation on the nonlinear forced vibration characteristics of FGM sandwich shells with porosities.

NONLINEAR DYNAMICS (2021)

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Article Engineering, Civil

Nonlinear strain gradient forced vibration analysis of shear deformable microplates via hermitian finite elements

Anton Timoshin et al.

Summary: This research investigates the geometrically nonlinear forced vibration of rectangular microplates using the modified strain gradient model and Mindlin-Reissner plate theory, with a focus on numerical examples to verify the efficiency and validity of the proposed model. Various impacts of length-scale parameter and geometrical parameters on the nonlinear forced vibration responses are also studied through numerical examples and the results for the modified couple stress model are presented.

THIN-WALLED STRUCTURES (2021)

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Article Engineering, Civil

Static and free vibration analysis of thin arbitrary-shaped triangular plates under various boundary and internal supports

Deng'an Cai et al.

Summary: A numerical method for the static and free vibration analysis of thin triangular plates is proposed, which uses sub-parametric technique and Gauss quadrature to avoid errors in calculation, showing simplicity and high accuracy. The method can also be used for optimizing plate shapes and lamination sequences of laminated plates in the design stage.

THIN-WALLED STRUCTURES (2021)

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Article Physics, Multidisciplinary

Dual-phase-lag thermoelastic damping in nonlocal rectangular nanoplates

Zhaohai Yang et al.

Summary: This article evaluates thermoelastic damping (TED) in rectangular nanoplates by incorporating size effect and nonlocal elasticity theory. The study establishes size-dependent coupled thermoelastic equations and compares results between size-dependent formulation and classical continuum mechanics for better understanding small-scale effect on TED. Significant differences between classical and nonclassical results, particularly at smaller sizes, suggest the necessity of incorporating small-scale effect into both structural and thermal areas.

WAVES IN RANDOM AND COMPLEX MEDIA (2021)

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Article Engineering, Mechanical

Elastic buckling of nanoplates based on general third-order shear deformable plate theory including both size effects and surface effects

L. H. Tong et al.

Summary: The unified plate model incorporating surface and size effects predicts buckling behaviors accurately. Analytic buckling loads for rectangular nanoplates are obtained under different boundary conditions. The study shows that the GTPT is more accurate in predicting buckling behaviors of nanoplates when considering surface effects, with discussion about the effects of nonlocal strain gradient GTPT on critical buckling loads.

INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN (2021)

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Article Engineering, Mechanical

Transverse Free Vibration of Axisymmetric Functionally Graded Circular Nanoplates with Radial Loads

Qiuyang Luo et al.

Summary: This study established a theoretical model for the transverse free vibration of axisymmetric functionally graded circular nanoplates using the nonlocal strain gradient method and Mindlin plate theory. The results showed that the natural frequencies of the circular nanoplates are affected by radial compression, boundary constraints, and internal characteristic parameters. The study also concluded that the nanoplates exhibit different behaviors based on the relationship between the nonlocal parameter and strain gradient characteristic parameter.

JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES (2021)

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Article Nanoscience & Nanotechnology

Dynamic Behavior Study of Functionally Graded Porous Nanoplates

Hadj Mostefa Adda et al.

Summary: This paper introduces the analytical solutions of complex behavior analysis utilizing high-order shear deformation plate theory of functionally graded FGM nano-plate content consisting of a mixture of metal and ceramics with porosity, incorporating the non-local principle of elasticity and considering small-scale effect. The impact of variance of material properties on natural frequencies of FG nano-plate is examined, with results showing significant influence.

NANO HYBRIDS AND COMPOSITES (2021)

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Article Mathematics, Applied

Nonlocal vibration and buckling of two-dimensional layered quasicrystal nanoplates embedded in an elastic medium

Tuoya Sun et al.

Summary: A mathematical model is proposed for the nonlocal vibration and buckling of embedded two-dimensional decagonal quasicrystal layered nanoplates. The exact solutions obtained can accurately predict the nature frequencies and critical loads, providing a useful tool for tuning the properties of these materials for coating plate structures.

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION (2021)

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Article Engineering, Civil

Isogeometric couple stress continuum-based linear and nonlinear flexural responses of functionally graded composite microplates with variable thickness

Zhicheng Yang et al.

Summary: This study investigates the small scale-dependent geometrical nonlinear flexural response of arbitrary-shaped microplates made of functional graded (FG) composites, incorporating modified couple stress continuum elasticity. The results show that the size dependency of couple stress leads to differences in bending responses under different thickness variation patterns.

ARCHIVES OF CIVIL AND MECHANICAL ENGINEERING (2021)

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Article Engineering, Civil

Isogeometric nonlinear bending analysis of porous FG composite microplates with a central cutout modeled by the couple stress continuum quasi-3D plate theory

Rui Rao et al.

Summary: By utilizing the isogeometric finite element methodology, this study predicts the nonlinear flexural response of composite microplates with functionally graded porosity, incorporating couple stress small scale effect. A refined power-law function is used to consider porosity dependency and material gradient simultaneously. The influence of couple stress on the nonlinear bending curves of porous FG composite microplates is demonstrated, showing a significant impact on the through-thickness porosity distribution schemes. The presence of a cutout at the center of composite microplates alters the slope of their nonlinear flexural curve.

ARCHIVES OF CIVIL AND MECHANICAL ENGINEERING (2021)

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Article Computer Science, Interdisciplinary Applications

Multi-connected boundary conditions in solid mechanics and surgery theory

Huilong Ren et al.

Summary: Boundary conditions are crucial for partial differential equations, ensuring unique and well-defined solutions. Multi-element boundary conditions are developed as a generalization of traditional conditions, gluing physical quantities from different boundaries or domains to handle mechanical problems. Numerical tests show that different multi-element boundary conditions result in completely different deformation modes.

COMPUTERS & STRUCTURES (2021)

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Article Thermodynamics

Predicting phonon scattering and tunable thermal conductivity of 3D pillared graphene and boron nitride heterostructure

Sina Karimzadeh et al.

Summary: This study investigated the transfer of phonon energy in a hybrid structure of pillared graphene and boron nitride film, and found that thermal conductivity was increased due to ballistic transfer as the heterostructure elongated. The direction of thermal flux and the presence of defects were found to have a significant impact on interfacial thermal conductivity, with thermal rectification being affected by the type of defects.

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER (2021)

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Article Engineering, Mechanical

Nonlinear forced vibrations of functionally graded piezoelectric cylindrical shells under electric-thermo-mechanical loads

Yunfei Liu et al.

Summary: This paper presents a new solution approach to address the nonlinear forced vibrations of functionally graded piezoelectric shells in multi-physics fields, considering the effects of micro-voids. By utilizing Hamilton's principle and the Donnell nonlinear shallow shell theory, motion equations are derived, and a novel method combining multi-mode Galerkin scheme and Pseudo-arclength continuation method is employed to solve the nonlinear multiple internal resonances and bifurcations of the systems with multiple degrees of freedom.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2021)

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Article Engineering, Mechanical

Nonlinear vibration characteristics of fibre reinforced composite cylindrical shells in thermal environment

Hui Li et al.

Summary: This paper proposes an analytical model for fiber reinforced polymer composite cylindrical shells (FRPCCSs) considering material and geometric nonlinearities and thermal effects, which can predict natural frequencies, damping ratios, and resonant responses. Experimental validation shows that the natural frequencies of composite shell specimens initially decrease and then increase with increasing excitation amplitude, while damping ratios and resonant responses of FRPCCSs increase with excitation amplitude and environmental temperature. The study also highlights the significant effect of environmental temperature on the damping performance of FRPCCSs.

MECHANICAL SYSTEMS AND SIGNAL PROCESSING (2021)

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Article Engineering, Mechanical

Parametric vibrations of graphene sheets based on the double mode model and the nonlocal elasticity theory

Jan Awrejcewicz et al.

Summary: The paper explores the parametric vibrations of single-layered graphene sheets, analyzing the effects of nonlocal elasticity theory on small-scale vibrations. By studying bifurcation diagrams, phase plots, and other techniques, it is discovered that the use of nonlocal equations significantly alters the vibration properties.

NONLINEAR DYNAMICS (2021)

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Article Physics, Multidisciplinary

Nonlinear oscillations of elliptical and sector prefabricated nanoplate-type structures made of functionally graded building material

Rui Hou et al.

Summary: The primary goal of this work is to apply for the first time the efficient isogeometric type of numerical solving technique for the geometrically nonlinear large-amplitude oscillations of nanoplates with arbitrary shapes with variable thicknesses incorporating simultaneously strain gradient size and nonlocality dependencies. It is found that changing thickness variation pattern from convex to linear, and finally to concave increases the significance of both nonlocality and strain gradient size effects.

PHYSICA SCRIPTA (2021)

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Article Engineering, Civil

Damping characteristics of carbon nanotube reinforced epoxy nanocomposite beams

Shengqi Pan et al.

Summary: This paper investigates the damping characteristics of carbon nanotube reinforced epoxy nanocomposite beams, proposing a modified Biot model for simulation and implementing it into a finite element model. The comparison between theoretical and experimental results shows the improved accuracy of the modified Biot model, with the damping ratios of composite beam specimens fluctuating with the increment of CNT weight ratio.

THIN-WALLED STRUCTURES (2021)

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Article Engineering, Civil

Surface stress size dependency in nonlinear free oscillations of FGM quasi-3D nanoplates having arbitrary shapes with variable thickness using IGA

Pengtao Wang et al.

Summary: This study proposes a computational package for analyzing nonlinear vibrations of nanoplates with variable thickness and arbitrary shapes using isogeometric analysis. The size dependent plate model is constructed based on Gurtin-Murdoch surface elasticity, showing that the flexural stiffness of FGM composite nanoplates can be adjusted by changing the thickness variation pattern.

THIN-WALLED STRUCTURES (2021)

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Article Engineering, Civil

A refined nonlocal isogeometric model for multilayer functionally graded graphene platelet-reinforced composite nanoplates

P. Phung-Van et al.

Summary: This study presents an effective and simple approach based on RPT and IGA for bending and vibration analyses of FG GPLRC nanoplates. The reinforcement of GPLs can dramatically improve the stiffness of nanoplates, with rich GPLs at the bottom and top considered the most effective for reinforcement.

THIN-WALLED STRUCTURES (2021)

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Article Engineering, Civil

Dynamic buckling of rotationally restrained FG porous arches reinforced with graphene nanoplatelets under a uniform step load

Zhicheng Yang et al.

Summary: This study presents a method for dynamic buckling analysis of rotationally restrained functionally graded graphene nanoplatelets reinforced composite porous arches, deriving analytical solutions using an energy-based approach. It is found that adding a small amount of GPLs can significantly improve the dynamic buckling load of the arch.

THIN-WALLED STRUCTURES (2021)

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Article Physics, Multidisciplinary

Non-linear free and forced vibration of bi-directional functionally graded truncated conical tube based on the nonlocal gradient strain theory

Fusheng Zhang et al.

Summary: This paper investigates the vibration behavior of functionally graded nanotubes, considering non-uniform cross-sections and nonlinear factors. Generalized differential quadrature method coupled with numerical iteration method was used for calculations, and discussions were made for different boundary conditions.

WAVES IN RANDOM AND COMPLEX MEDIA (2021)

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Article Physics, Multidisciplinary

Vibration analysis of graphene nanoplatelets' reinforced composite plates integrated by piezo-electromagnetic patches on the piezo-electromagnetic media

Mohammad Khorasani et al.

Summary: A new microplate model was used to evaluate the vibrational response of a three-layered sandwich structure, showing the effects of temperature difference and basis shape on the structure's frequency and stiffness.

WAVES IN RANDOM AND COMPLEX MEDIA (2021)

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Article Engineering, Multidisciplinary

Free vibration of functionally graded porous non-uniform thickness annular-nanoplates resting on elastic foundation using ES-MITC3 element

Quoc-Hoa Pham et al.

Alexandria Engineering Journal (2021)

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Article Mathematics, Interdisciplinary Applications

Enhancement in Thermal Energy and Solute Particles Using Hybrid Nanoparticles by Engaging Activation Energy and Chemical Reaction over a Parabolic Surface via Finite Element Approach

Yu-Ming Chu et al.

Summary: This report discusses the flow of Powell-Eyring fluid mixed with hybrid nanoparticles over a melting parabolic stretched surface. Flow rheology expressions have been derived under boundary layer theory and transformed into associated ODEs using similarity transformation. The applicability and effectiveness of FEM in solving highly nonlinear problems is demonstrated, showing that the methodology can be easily implemented in MAPLE 18.0.

FRACTAL AND FRACTIONAL (2021)

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Article Physics, Multidisciplinary

Size-dependent buckling analysis of piezoelectric nanobeams resting on elastic foundation considering flexoelectricity effect using the stress-driven nonlocal model

R. Ansari et al.

Summary: A size-dependent Bernoulli-Euler beam model for buckling analysis of piezoelectric nanobeams considering flexoelectricity influence is presented, utilizing stress-driven nonlocal theory to capture size effects. The nanobeams are assumed to be embedded in an elastic medium, and governing equations including nonlocal and flexoelectricity effects are obtained using a variational approach. The study also proposes a numerical solution approach for calculating buckling loads of piezoelectric nanobeams with different boundary conditions, and investigates the effects of flexoelectricity, nanoscale, and elastic foundation on buckling behavior through numerical examples.

EUROPEAN PHYSICAL JOURNAL PLUS (2021)

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Article Acoustics

Free vibration and buckling analysis of elastically supported transversely inhomogeneous functionally graded nanoplate in thermal environment using Rayleigh-Ritz method

Piyush P. Singh et al.

Summary: This study investigates the free vibration and buckling behaviors of a functionally graded nanoplate using a nonlocal classical plate theory, showing that the nonlocal effect is more pronounced for higher modes and/or higher aspect ratios. The Pasternak foundation has a significant influence on the nondimensionalized frequencies and buckling of the functionally graded nanoplate.

JOURNAL OF VIBRATION AND CONTROL (2021)

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Article Nanoscience & Nanotechnology

Two Differential Equations for Investigating the Vibration of Conductive Nanoplates in a Constant In-Plane Magnetic Field Based on the Energy Conservation Principle and the Local Equilibrium Equations

Saeed Shahsavari et al.

Summary: This paper investigates the movement of nanoplates through two approaches: extracting the differential equation and extracting an integral equation based on the energy conservation principle. By studying the deformation, stress distribution, and energy conservation principle, equations describing the vibration of nanoplates are derived, revealing significant differences in results as the applied field power increases.

NANOBIOTECHNOLOGY REPORTS (2021)

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Article Chemistry, Multidisciplinary

Vibration analysis of a sandwich cylindrical shell in hygrothermal environment

Chunwei Zhang et al.

Summary: Sandwich structures, consisting of functionally graded porous core and reinforced nanocomposite face sheets, are studied for their vibrational behavior in a cylindrical shell model, where dispersion of graphene nanoplatelets and distribution of pores play vital roles. The relationship between natural frequency and rotation angle is discussed, with an increase in mid-radius to thickness ratio resulting in frequency reduction. The study's findings can be beneficial for future investigations and in designing procedures for pipe factories.

NANOTECHNOLOGY REVIEWS (2021)

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Article Nanoscience & Nanotechnology

Vibrational analysis of nanoplate with surface irregularity via Kirchhoff plate theory

Mahmoud M. Selim et al.

Summary: This work applies Kirchhoff plate theory to investigate the vibrational analyses of nanoplates with surface irregularity, which has not been previously studied. The study reveals that surface irregularity significantly affects the natural frequency of vibrational nanoplates, leading to a decrease in frequency with an increase in irregularity parameter. These findings can be useful for designing oscillators and nanoscale devices where nanoplates serve as a structural component in nanocomposites.

NANOMATERIALS AND NANOTECHNOLOGY (2021)

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Article Acoustics

Effect of In-Plane Load and Thermal Environment on Buckling and Vibration Behavior of Two-Dimensional Functionally Graded Tapered Timoshenko Nanobeam

Roshan Lal et al.

Summary: This study analyzed the buckling and vibration characteristics of a two-dimensional functionally graded nanobeam with nonuniform thickness under in-plane and thermal loads using Timoshenko beam theory and Eringen's nonlocal theory. The results showed a significant impact of in-plane load on the mechanical behavior of the beam.

JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME (2021)

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Article Physics, Multidisciplinary

Flexoelectric and surface effects on vibration frequencies of annular nanoplate

A. Ghorbanpour Arani et al.

Summary: This research discusses the positive effects of flexoelectricity and surface effect on the nonlocal vibration of annular nanoplate, utilizing the first-order shear deformation plate theory and nonlocal elasticity theory to analyze the problem. Surface stresses and properties are taken into account, and the differential quadrature method with iterative method is used to solve equations of motion. Parametric study is conducted to examine the impact of various parameters on the size-dependent vibration of flexoelectric nanoplate, showing a significant increase in natural frequency when considering flexoelectric and surface effects.

INDIAN JOURNAL OF PHYSICS (2021)

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Article Engineering, Mechanical

Size-dependent free vibration analysis of a three-layered exponentially graded nano-/micro-plate with piezomagnetic face sheets resting on Pasternak's foundation via MCST

Mohammad Arefi et al.

JOURNAL OF SANDWICH STRUCTURES & MATERIALS (2020)

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Article Engineering, Mechanical

Nonlinear vibration of functionally graded sandwich shallow spherical caps resting on elastic foundations by using first-order shear deformation theory in thermal environment

Nguyen Thi Phuong et al.

JOURNAL OF SANDWICH STRUCTURES & MATERIALS (2020)

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Article Materials Science, Multidisciplinary

Size-dependent free vibration analysis of Mindlin nano-plates with curvilinear plan-forms by a high order curved hierarchical finite element

A. Necira et al.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2020)

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Article Materials Science, Multidisciplinary

Size-dependent vibration analysis of a three-layered porous rectangular nano plate with piezo-electromagnetic face sheets subjected to pre loads based on SSDT

Saeed Amir et al.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2020)

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Article Engineering, Mechanical

Nonlocal strain gradient theory for the magneto-electro-elastic vibration response of a porous FG-core sandwich nanoplate with piezomagnetic face sheets resting on an elastic foundation

M. Arefi et al.

JOURNAL OF SANDWICH STRUCTURES & MATERIALS (2020)

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Article Materials Science, Multidisciplinary

Nonlinear size-dependent vibration behavior of graphene nanoplate considering surfaces effects using a multiple-scale technique

Ehsan Allahyari et al.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2020)

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Article Computer Science, Interdisciplinary Applications

Develop a refined truncated cubic lattice structure for nonlinear large-amplitude vibrations of micro/nano-beams made of nanoporous materials

S. Sahmani et al.

ENGINEERING WITH COMPUTERS (2020)

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Article Computer Science, Interdisciplinary Applications

Analytical treatment on the nonlocal strain gradient vibrational response of postbuckled functionally graded porous micro-/nanoplates reinforced with GPL

S. Sahmani et al.

ENGINEERING WITH COMPUTERS (2020)

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Article Thermodynamics

Quasi-3D tangential shear deformation theory for size-dependent free vibration analysis of three-layered FG porous micro rectangular plate integrated by nano-composite faces in hygrothermal environment

Saeed Amir et al.

JOURNAL OF THERMAL STRESSES (2020)

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Article Engineering, Multidisciplinary

High-accuracy hull iteration method for uncertainty propagation in fluid-conveying carbon nanotube system under multi-physical fields

Zheng Lyu et al.

APPLIED MATHEMATICAL MODELLING (2020)

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Article Mechanics

A deep energy method for finite deformation hyperelasticity

Vien Minh Nguyen-Thanh et al.

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2020)

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Article Engineering, Mechanical

FSDT-Based Isogeometric Analysis for Free Vibration Behavior of Functionally Graded Skew Folded Plates

H. Mohammadi et al.

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Article Nanoscience & Nanotechnology

Nonlocal continuum-based modeling of a nanoplate subjected to a moving nanoparticle. Part I: Theoretical formulations

Keivan Kiani

PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES (2011)

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Article Materials Science, Multidisciplinary

Vibration analysis of orthotropic graphene sheets embedded in Pasternak elastic medium using nonlocal elasticity theory and differential quadrature method

S. C. Pradhan et al.

COMPUTATIONAL MATERIALS SCIENCE (2010)

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Article Materials Science, Multidisciplinary

Variational formulation and finite element analysis for nonlocal elastic nanobeams and nanoplates

J. K. Phadikar et al.

COMPUTATIONAL MATERIALS SCIENCE (2010)

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Article Engineering, Multidisciplinary

Viscoplasticity using peridynamics

J. T. Foster et al.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2010)

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Article Physics, Applied

Ultrasonic wave characteristics of nanorods via nonlocal strain gradient models

S. Narendar et al.

JOURNAL OF APPLIED PHYSICS (2010)

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Article Chemistry, Multidisciplinary

Vibration of Single Layer Graphene Sheet Based on Non local Elasticity and Higher Order Shear Deformation Theory

S. C. Pradhan et al.

JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE (2010)

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Article Acoustics

Dynamic analysis of clamp band joint system subjected to axial vibration

Z. Y. Qin et al.

JOURNAL OF SOUND AND VIBRATION (2010)

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Article Acoustics

Use of Eight-node Curvilinear Domains in Discrete Singular Convolution Method for Free Vibration Analysis of Annular Sector Plates with Simply Supported Radial Edges

Oe Civalek

JOURNAL OF VIBRATION AND CONTROL (2010)

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Article Physics, Multidisciplinary

Nonlocal plate model for free vibrations of single-layered graphene sheets

R. Ansari et al.

PHYSICS LETTERS A (2010)

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Article Materials Science, Multidisciplinary

Micromorphic theory: a gateway to nano world

Xianqiao Wang et al.

INTERNATIONAL JOURNAL OF SMART AND NANO MATERIALS (2010)

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Article Physics, Applied

Piezoelectric nanoelectromechanical resonators based on aluminum nitride thin films

R. B. Karabalin et al.

APPLIED PHYSICS LETTERS (2009)

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Article Physics, Applied

Piezoelectric aluminum nitride nanoelectromechanical actuators

Nipun Sinha et al.

APPLIED PHYSICS LETTERS (2009)

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Article Engineering, Multidisciplinary

Free vibration analysis of rotating cylindrical shells using discrete singular convolution technique

Oemer Civalek et al.

INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING (2009)

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Article Mechanics

Micromorphic modeling of granular dynamics

Kuo-Ching Chen et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2009)

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Article Physics, Applied

Vibration analysis of nano-single-layered graphene sheets embedded in elastic medium based on nonlocal elasticity theory

T. Murmu et al.

JOURNAL OF APPLIED PHYSICS (2009)

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Article Physics, Applied

Vibration analysis of nanoplates under uniaxial prestressed conditions via nonlocal elasticity

T. Murmu et al.

JOURNAL OF APPLIED PHYSICS (2009)

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Article Acoustics

Nonlocal third-order shear deformation plate theory with application to bending and vibration of plates

Ramin Aghababaei et al.

JOURNAL OF SOUND AND VIBRATION (2009)

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Article Acoustics

Nonlocal elasticity theory for vibration of nanoplates

S. C. Pradhan et al.

JOURNAL OF SOUND AND VIBRATION (2009)

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Article Nanoscience & Nanotechnology

Small-scale effect on the free in-plane vibration of nanoplates by nonlocal continuum model

T. Murmu et al.

PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES (2009)

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Article Materials Science, Multidisciplinary

Nickel nanowires under uniaxial loads: A molecular dynamics simulation study

A. R. Setoodeh et al.

COMPUTATIONAL MATERIALS SCIENCE (2008)

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Article Mathematics, Applied

Free vibration analysis of symmetrically laminated composite plates with first-order shear deformation theory (FSDT) by discrete singular convolution method

Oemer Civalek

FINITE ELEMENTS IN ANALYSIS AND DESIGN (2008)

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Article Nanoscience & Nanotechnology

The small length scale effect for a non-local cantilever beam: a paradox solved

N. Challamel et al.

NANOTECHNOLOGY (2008)

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Multi-scale micromorphic theory for hierarchical materials

Franck Vernerey et al.

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2007)

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Article Physics, Applied

High-Q GaN nanowire resonators and oscillators

S. M. Tanner et al.

APPLIED PHYSICS LETTERS (2007)

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Article Materials Science, Multidisciplinary

A novel atomistic approach to determine strain-gradient elasticity constants: Tabulation and comparison for various metals, semiconductors, silica, polymers and the (Ir) relevance for nanotechnologies

R. Maranganti et al.

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2007)

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Article Engineering, Multidisciplinary

Nonlocal theories for bending, buckling and vibration of beams

J. N. Reddy

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2007)

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Article Physics, Applied

Buckling analysis of micro- and nano-rods/tubes based on nonlocal Timoshenko beam theory

C. M. Wang et al.

JOURNAL OF PHYSICS D-APPLIED PHYSICS (2006)

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Article Instruments & Instrumentation

Vibration of carbon nanotubes studied using nonlocal continuum mechanics

Q Wang et al.

SMART MATERIALS AND STRUCTURES (2006)

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Article Physics, Applied

Dynamic properties of flexural beams using a nonlocal elasticity model

P Lu et al.

JOURNAL OF APPLIED PHYSICS (2006)

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Article Mechanics

On a theory of nonlocal elasticity of bi-Helmholtz type and some applications

M Lazar et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2006)

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Article Physics, Condensed Matter

Effect of surface piezoelectricity on the electromechanical behaviour of a piezoelectric ring

GY Huang et al.

PHYSICA STATUS SOLIDI B-BASIC SOLID STATE PHYSICS (2006)

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Article Engineering, Multidisciplinary

Nonlocal continuum mechanics based on distributions

AC Eringen

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2006)

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Article Physics, Applied

Wave propagation in carbon nanotubes via nonlocal continuum mechanics

Q Wang

JOURNAL OF APPLIED PHYSICS (2005)

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Article Materials Science, Multidisciplinary

Free transverse vibrations of double-walled carbon nanotubes using a theory of nonlocal elasticity

YQ Zhang et al.

PHYSICAL REVIEW B (2005)

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Article Materials Science, Multidisciplinary

Small-scale effects on buckling of multiwalled carbon nanotubes under axial compression

YQ Zhang et al.

PHYSICAL REVIEW B (2004)

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Experiments and theory in strain gradient elasticity

DCC Lam et al.

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2003)

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Determining material constants in micromorphic theory through phonon dispersion relations

YP Chen et al.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2003)

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Article Engineering, Multidisciplinary

Application of nonlocal continuum models to nanotechnology

J Peddieson et al.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2003)

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Article Physics, Applied

Column buckling of multiwalled carbon nanotubes using nonlocal continuum mechanics

LJ Sudak

JOURNAL OF APPLIED PHYSICS (2003)

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Article Chemistry, Multidisciplinary

Synthesis and characterization of truncated triangular silver nanoplates

SH Chen et al.

NANO LETTERS (2002)

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Article Mechanics

Couple stress based strain gradient theory for elasticity

F Yang et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2002)

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Article Mechanics

Plastic flow in a composite: a comparison of nonlocal continuum and discrete dislocation predictions

JL Bassani et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2001)

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Article Materials Science, Multidisciplinary

Reformulation of elasticity theory for discontinuities and long-range forces

SA Silling

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2000)

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