A general anisotropic peridynamic plane model based on micro-beam bond

Article Engineering, Multidisciplinary

Peridynamic ShellModel Based on Micro-Beam Bond

Guojun Zheng et al.

Summary: The PD shell model based on the micro-beam bond is proposed to improve the calculation efficiency of PD models for complex structures. A new fracture criterion based on the SED of the micro-beam bond is adopted for crack simulation.

CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES (2023)

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Article Engineering, Multidisciplinary

Coupled peridynamic model for geometrically nonlinear deformation and fracture analysis of slender beam structures

Guojun Zheng et al.

Summary: In this study, a coupling model of peridynamics (PD) and classical continuum mechanics (CCM) is proposed for analyzing beam fracture in geometrically nonlinear deformations. The model effectively balances the stiffness of the CCM beam model and the weighted coefficients of the PD beam model. The validity and accuracy of the proposed PD-CCM coupling model are demonstrated through the analysis of various beam structures under different loading conditions.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2022)

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Article Mechanics

Peridynamic stress is the static first Piola-Kirchhoff Virial stress

Jun Li et al.

Summary: This paper investigates the implementation issue of the peridynamic stress formula and finds a concise mathematical expression through derivation and proof. Numerical verifications and evaluations on the PMB material model demonstrate the accuracy of the proposed formula in predicting stress states, showing good agreements with other calculation methods and experimental data.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2022)

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Article Engineering, Multidisciplinary

Discontinuous Galerkin isogeometric analysis with peridynamic model for crack simulation of shell structure

Yang Xia et al.

Summary: A discontinuous Galerkin (DG) isogeometric analysis (IGA) formulation with peridynamic (PD) model is proposed for the simulation of cracks in shell structure. The proposed formulation assures the analysis of crack propagation with spline based smooth geometric model, improves the computational precision, and provides derivative fields such as strain and stress. The local/nonlocal coupling algorithm is proposed to further improve the computational efficiency.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2022)

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Article Engineering, Multidisciplinary

A nonlocal nonlinear stiffened shell theory with stiffeners modeled as geometrically-exact beams

Qi Zhang et al.

Summary: The work presents a nonlocal and nonlinear structural mechanics theory and computational formulations for solving dynamic problems of stiffened shell structures, including dynamic fracture. A hybrid beam-shell geometrically exact stiffened shell model is proposed, coupling nonlocal geometrically exact beam and shell formulations. The proposed nonlocal stiffened shell theory is demonstrated to model crack growth in stiffened shell structures.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2022)

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Article Engineering, Multidisciplinary

Peridynamic Shell Model Based on Micro-Beam Bond

Guojun Zheng et al.

Summary: This study proposes a PD shell model based on micro-beam bonds and improves the calculation efficiency by using structural idealization. The deformations of the micro-beam bonds are calculated through interpolation methods, and the micro potential energy is established based on the deformations. The micro moduli of the shell model are obtained using the equivalence principle of strain energy density (SED). In addition, a new fracture criterion based on SED is adopted for crack simulation. Numerical examples demonstrate the effectiveness of the proposed PD shell model.

CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES (2022)

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Article Engineering, Mechanical

A continuum-molecular model for anisotropic electrically conductive materials

Vito Diana et al.

Summary: The proposed model presents an anisotropic framework for two-dimensional electrical conduction, elasticity, and fracture in the peridynamic theoretical framework. It utilizes elastic non-central pair potentials and inelastic pair potential functions to describe interactions between material points, allowing for a bond-based type model for conductive Cauchy orthotropic media without restrictions on the number of independent material constants. The model also considers macroscopic anisotropic conductivity and non-uniform material toughness by adopting an anisotropic energetic failure criterion related to direction-dependent fracture energy functionals.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2021)

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Article Mechanics

Construction of peridynamic beam and shell models on the basis of the micro-beam bond obtained via interpolation method

Guozhe Shen et al.

Summary: This study presents a new strategy for general PD beam and shell models based on the micro-beam bond, improving computational efficiency for complex structures and accurately capturing transversal deformation. Simulation results demonstrate the accuracy of the presented PD beam and shell models.

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2021)

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Article Engineering, Mechanical

A continuum-kinematics-inspired peridynamic model of anisotropic continua: Elasticity, damage, and fracture

Da-Lang Tian et al.

Summary: This study expands linearized elastic isotropic continuum-kinematics-inspired-peridynamics to analyze anisotropic materials, generating anisotropy by changing material properties and evaluating the accuracy of the computational models through comparison with finite element analysis results. The ability of the model to describe the damage and fracture behavior of anisotropic materials is verified by performing quantitative simulations and comparing with experimental data.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2021)

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Article Engineering, Multidisciplinary

A new type of peridynamics: Element-based peridynamics

Shuo Liu et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2020)

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Article Mechanics

Crack kinking in isotropic and orthotropic micropolar peridynamic solids

Vito Diana et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2020)

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Article Materials Science, Multidisciplinary

On energy release rates in Peridynamics

Haicheng Yu et al.

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2020)

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Article Mechanics

Linear peridynamics for isotropic and anisotropic materials

Yozo Mikata

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2019)

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Article Mechanics

A state-based peridynamic model for quantitative elastic and fracture analysis of orthotropic materials

Heng Zhang et al.

ENGINEERING FRACTURE MECHANICS (2019)

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Article Engineering, Mechanical

A peridynamic plastic model based on von Mises criteria with isotropic, kinematic and mixed hardenings under cyclic loading

Hossein Pashazad et al.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2019)

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Article Engineering, Mechanical

A full orthotropic micropolar peridynamic formulation for linearly elastic solids

Vito Diana et al.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2019)

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Article Engineering, Multidisciplinary

A non-ordinary state-based peridynamics framework for anisotropic materials

Gabriel Hattori et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2018)

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Article Mechanics

Analyzing dynamic fracture process in fiber-reinforced composite materials with a peridynamic model

Wu Zhou et al.

ENGINEERING FRACTURE MECHANICS (2017)

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Article Mechanics

Thermal shock response via weakly coupled peridynamic thermo-mechanics

Pietro D'Antuono et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2017)

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Article Mechanics

A new shell-beam element modeling method and its use in crash simulation of triaxial braided composites

Danghe Shi et al.

COMPOSITE STRUCTURES (2017)

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Article Mechanics

Bond-based peridynamic modeling of composite laminates with arbitrary fiber orientation and stacking sequence

Y. L. Hu et al.

COMPOSITE STRUCTURES (2016)

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Article Mechanics

XFEM analysis of fiber bridging in mixed-mode crack propagation in composites

A. Afshar et al.

COMPOSITE STRUCTURES (2015)

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Article Mechanics

Peridynamic analytical method for progressive damage in notched composite laminates

Hu Yi-le et al.

COMPOSITE STRUCTURES (2014)

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Article Engineering, Multidisciplinary

A peridynamic material model for the analysis of dynamic crack propagation in orthotropic media

M. Ghajari et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2014)

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Article Mechanics

Peridynamic plates and flat shells: A non-ordinary, state-based model

James O'Grady et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2014)

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Article Mechanics

Peridynamic beams: A non-ordinary, state-based model

James O'Grady et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2014)

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Article Mechanics

A peridynamic implementation of crystal plasticity

S. Sun et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2014)

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Article Materials Science, Multidisciplinary

Fully coupled peridynamic thermomechanics

Selda Oterkus et al.

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2014)

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Article Engineering, Multidisciplinary

Adaptive finite elements using hierarchical mesh and its application to crack propagation analysis

Kohei Murotani et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2013)

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Article Mechanics

A Morphing framework to couple non-local and local anisotropic continua

Yan Azdoud et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2013)

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Article Engineering, Multidisciplinary

Peridynamic model for dynamic fracture in unidirectional fiber-reinforced composites

Wenke Hu et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2012)

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Article Mathematics, Applied

An anisotropic mesh adaptation strategy for damage and failure in ductile materials

R. El Khaoulani et al.

FINITE ELEMENTS IN ANALYSIS AND DESIGN (2012)

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Article Materials Science, Multidisciplinary

PERIDYNAMIC ANALYSIS OF FIBER-REINFORCED COMPOSITE MATERIALS

Erkan Oterkus et al.

JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES (2012)

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Article Materials Science, Multidisciplinary

A morphing strategy to couple non-local to local continuum mechanics

Gilles Lubineau et al.

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2012)

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Article Mechanics

Peridynamic theory for progressive damage prediction in center-cracked composite laminates

B. Kilic et al.

COMPOSITE STRUCTURES (2009)

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Article Mathematics, Interdisciplinary Applications

Extended meshfree methods without branch enrichment for cohesive cracks

Goangseup Zi et al.

COMPUTATIONAL MECHANICS (2007)

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Article Mechanics

Development of a new software for adaptive crack growth simulations in 3D structures

M Schollmann et al.

ENGINEERING FRACTURE MECHANICS (2003)

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Article Engineering, Mechanical

Physics-based modeling of brittle fracture: cohesive formulations and the application of meshfree methods

PA Klein et al.

THEORETICAL AND APPLIED FRACTURE MECHANICS (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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A general anisotropic peridynamic plane model based on micro-beam bond

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