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Article
Mathematics, Applied
Shujun Shen et al.
Summary: In this study, a fractional two-step model and its numerical method for nanoscale heat conduction were presented. The model was extended to different cases and the stability and convergence of the numerical scheme were analyzed. The accuracy and applicability of the model and numerical method were tested through examples.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2023)
Article
Mathematics, Applied
B. Feng et al.
Summary: In this paper, we investigate a laminated beam system with thermodiffusion effects and establish the global well-posedness and stability of the system. Numerical experiments are conducted to support our theoretical results. This study provides the first stabilization results for the laminated beam system with thermodiffusion effects.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2023)
Article
Mathematics, Applied
Adina Chirila et al.
Summary: This study focuses on a mathematical model of microstretch thermoelasticity with diffusion, where each microelement has micro-concentrations and micro-temperatures. The analysis is conducted on the linear, anisotropic case and reduces the constructed mixed problem to an abstract problem in the centro-symmetric case. The well-posedness of the mathematical model is proven using a semigroup of linear operators.
TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS
(2022)
Article
Engineering, Multidisciplinary
S. Teichtmeister et al.
Summary: The paper presents a versatile framework for nonisothermal processes with changing microstructure at large strains in solids. It outlines rate-type and incremental variational principles for thermomechanical coupling in gradient-extended dissipative materials. The proposed framework incorporates entropy and entropy rate into constitutive energy and dissipation functions. A numerical algorithm is also proposed to update the intrinsic dissipation and is applicable to adiabatic processes.
JOURNAL OF ELASTICITY
(2022)
Article
Mechanics
Seyed Mahmoud Hosseini et al.
Summary: This paper develops the Moore-Gibson-Thompson (MGT) generalized coupled thermoelasticity analysis using strain gradient theory and applies it to simulate the laser-shock induced thermoelastic wave propagation in a Love-Bishop nanorod resonator for the first time. The derived governing equations are transferred to Laplace domain and an analytical solution is proposed. The study reveals significant effects of the higher-order materials length parameters and the micro-length inertia and thermal parameters on the propagation of thermal and elastic waves.
Article
Mathematics, Applied
Augusto Cesar Albuquerque-Ferreira et al.
Summary: The study proposes an adaptive discretization technique that allows using fewer points for solving partial differential equations, resulting in lower computational cost while maintaining the same accuracy as regular discretization.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2022)
Article
Chemistry, Analytical
Rajneesh Kumar Mishra et al.
Summary: In this study, WS2 nanorods were successfully synthesized using an eco-friendly and facile hydrothermal method, and their performance in acetone sensing was investigated. The results showed that the WS2 nanorod sensor exhibited high sensitivity and selectivity towards acetone, as well as excellent stability. Therefore, WS2 nanorods hold great potential as sensing materials for monitoring acetone concentration in work/public places.
Article
Chemistry, Physical
Shreen El-Sapa et al.
Summary: A novel model is proposed for understanding photothermal diffusion processes in semiconducting materials when interaction between holes and electrons occurs. The model examines thermal properties and optical absorption of silicon using photothermal technique, and studies elastic-thermodiffusion (ETD) excitation under a fixed electromagnetic field. The analytical solutions of distributions of charge carriers and wave effects are obtained in Laplace domain with numerical approximations during Laplace transform inversion.
Article
Physics, Multidisciplinary
Kh. Lotfy et al.
Summary: This study investigates a novel technique under the influence of stochastic heating caused by the thermal effect of photothermal theory, and obtains deterministic physical quantities using stochastic calculus. Comparisons and discussions are made on the distributions of the main physical quantities along different sample paths.
EUROPEAN PHYSICAL JOURNAL PLUS
(2022)
Article
Physics, Multidisciplinary
A. M. Zenkour
Summary: This article discusses the thermal diffusion vibration analysis in an unbounded medium with a spherical cavity, using multi single/dual-phase-lag models. The results are compared and found to be valid, and benchmark outcomes are provided for future research by other scholars.
INDIAN JOURNAL OF PHYSICS
(2022)
Article
Thermodynamics
Victor A. Eremeyev et al.
Summary: The article presents a complete nonlinear resultant 2D model of shell thermodiffusion, formulated by direct through-the-thickness integration of 3D laws of continuum thermodiffusion. This model offers a richer thermodynamic structure with additional 2D fields compared to the 3D parent model. Constitutive equations of elastic thermodiffusive shells are discussed in detail, formulated based on the resultant 2D entropy imbalance according to Coleman-Noll procedure extended by a set of 2D constitutive equations.
CONTINUUM MECHANICS AND THERMODYNAMICS
(2021)
Article
Thermodynamics
A. Eremin et al.
Summary: A system of differential equations accounting for interrelated heat and mass transfer under conditions of nonlocal equilibrium has been developed. Analysis of the numerical solution revealed that the differences between solutions considering double lag and those without are most pronounced during the initial time segment. This suggests that classical equations without considering relaxation phenomena are inadequate for accurately describing real physical processes during the establishment of boundary conditions.
JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS
(2021)
Article
Mechanics
Ankit Bajpai et al.
Summary: This article investigates the effects of two temperatures, ramping time parameter, and variable thermal conductivity and diffusivity on an infinite thermoelastic diffusion circular plate. The study utilizes Laplace-Hankel transform technique and numerical inversion technique to analyze the impacts.
Article
Engineering, Multidisciplinary
E. Salete et al.
Summary: This paper introduces the Generalized Finite Difference Method and its application in different formulations of the wave propagation problem. It provides explicit schemes for various formulations and criteria for stability and convergence. The study also completes the analysis of phase and group velocity dispersion, and compares the efficiency, convenience, and accuracy of different formulations in wave propagation problems.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Materials Science, Multidisciplinary
Ahmed E. Abouelregal et al.
Summary: This research aims to develop a new model to study diffusion in thermoelastic solids and compare the distribution of different physical fields. The findings indicate that under specific conditions, the considered physical fields exist only in a limited area.
APPLIED PHYSICS A-MATERIALS SCIENCE & PROCESSING
(2021)
Article
Engineering, Multidisciplinary
A. C. Albuquerque-Ferreira et al.
Summary: In this paper, second-order partial differential equations in 2D and 3D are solved using the Generalized Finite Difference Method with third- and fourth-order approximations. The influence of the number of points per star is analyzed and some reference values are established. A new strategy for dealing with ill-conditioned stars in higher-order approximations is proposed, which results in excellent results for detecting ill-conditioned stars and improving the accuracy of the numerical approximation. Parallel processing is applied to the formation of stars and derivatives, demonstrating the speedup achieved.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2021)
Article
Computer Science, Interdisciplinary Applications
Rodrigo L. R. Madureira et al.
Summary: This study presents a novel numerical method for solving a thermoelastic diffusion problem with moving boundary, achieving an approximate numerical solution with quadratic convergence order in time and space. Error estimates and convergence orders in Sobolev space are obtained for the semi-discrete and fully discrete problems, showing agreement between numerical simulation results and numerical analysis.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2021)
Article
Computer Science, Interdisciplinary Applications
Moncef Aouadi et al.
Summary: The study focuses on the dynamic behavior of a thermoelastic diffusion beam with rotational inertia and second sound. The system of equations combines a hyperbolic equation with four parabolic equations to address the physical paradox of infinite propagation speeds in classical heat and mass diffusion laws. The exponential stability of solutions and a finite element approximation are proposed to tackle the mathematical and numerical challenges posed by the system.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2021)
Article
Mechanics
Rajneesh Kumar et al.
Summary: A new mathematical model for studying modified couple stress thermoelastic diffusion, taking into account non-local and dual-phase-lag effects, has been constructed. The governing equations were simplified using Laplace and Fourier transform techniques, with numerical results presented for displacements, stresses, temperature change, and chemical potential, and discussed graphically. Special cases were also derived from the model.
MECHANICS OF SOLIDS
(2021)
Article
Mathematics, Applied
B. Feng
Summary: This paper investigates a Timoshenko system with thermodiffusion effects, establishing exponential energy decay under the assumption of equal wave speeds and extending a recent result by Aouadi et al. in Z. Angew. Math. Phys. (2019).
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
(2021)
Article
Mathematics, Applied
Augusto C. Albuquerque-Ferreira et al.
Summary: In this paper, linear boundary value problems of second-order ordinary differential equations are solved using the generalized finite difference method. A strategy is developed for dealing with ill-conditioned stars, based on the condition number of the matrix of derivatives. Additionally, a scheme implemented with parallel processing is considered for the formation of the stars and the calculation of the derivatives.
COMPUTATIONAL AND MATHEMATICAL METHODS
(2021)
Article
Computer Science, Interdisciplinary Applications
Adina Chirila et al.
Summary: This study focuses on a microstretch elastic material with thermal and mass diffusion at both macro- and microlevel, analyzing plane harmonic wave solutions in time. It finds undamped wave solutions for displacement, microrotation, and microdilatation when uncoupled, with functions representing thermal and diffusive effects as standing waves decaying exponentially with time. Additionally, a specific case is discussed where the effects of rotation, contraction, and dilatation of material particles are not considered, with some coupling coefficients being non-null.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2021)
Article
Mathematics
A. J. A. Ramos et al.
Summary: In this work, a truncated version of the Timoshenko beam model with thermal and mass diffusion effects is analyzed. The existence, uniqueness, and exponential stability of the global solution of this model are proven without assuming the equal wave speeds condition.
ARCHIV DER MATHEMATIK
(2021)
Article
Biophysics
Alla Tereshchenko et al.
COLLOIDS AND SURFACES B-BIOINTERFACES
(2020)
Article
Engineering, Marine
Ashraf M. Zenkour
JOURNAL OF OCEAN ENGINEERING AND SCIENCE
(2020)
Article
Materials Science, Multidisciplinary
Ramon Quintanilla
MATHEMATICS AND MECHANICS OF SOLIDS
(2019)
Article
Mathematics, Applied
Moncef Aouadi et al.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
(2019)
Article
Engineering, Multidisciplinary
Juan Jose Benito et al.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2018)
Article
Chemistry, Physical
Verena Wulf et al.
JOURNAL OF PHYSICAL CHEMISTRY LETTERS
(2016)
Article
Engineering, Civil
Seyed Amin Hosseini et al.
STRUCTURAL ENGINEERING AND MECHANICS
(2016)
Article
Engineering, Multidisciplinary
Seyed Mahmoud Hosseini
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2015)
Article
Engineering, Multidisciplinary
Allam A. Allam
APPLIED MATHEMATICAL MODELLING
(2014)
Article
Mechanics
Ugur Guven
COMPTES RENDUS MECANIQUE
(2014)
Article
Engineering, Mechanical
Seyed Mahmoud Hosseini et al.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2014)
Article
Engineering, Multidisciplinary
Seyed Mahmoud Hosseini et al.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2013)
Article
Mechanics
Harm Askes et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2011)