A comparative review of peridynamics and phase-field models for engineering fracture mechanics

P Diehl, R Lipton, T Wick, M Tyagi - Computational Mechanics, 2022 - Springer
Computational modeling of the initiation and propagation of complex fracture is central to the
discipline of engineering fracture mechanics. This review focuses on two promising …

A general and fast convolution-based method for peridynamics: applications to elasticity and brittle fracture

S Jafarzadeh, F Mousavi, A Larios, F Bobaru - Computer Methods in …, 2022 - Elsevier
A general and fast convolution-based method (FCBM) for peridynamics (PD) is introduced.
Expressing the PD integrals in terms of convolutions and computing them by Fast Fourier …

A peridynamic model for advection–reaction–diffusion problems

C Tian, S Fan, J Du, Z Zhou, Z Chen… - Computer Methods in …, 2023 - Elsevier
In this paper, a bond-based peridynamic (PD) advection–reaction–diffusion model is
formulated to simulate processes involving chemical reactions, flows, and diffusion. In the …

A peridynamic approach to solving general discrete dislocation dynamics problems in plasticity and fracture: Part I. Model description and verification

W Dong, H Liu, J Du, X Zhang, M Huang, Z Li… - International Journal of …, 2022 - Elsevier
In this paper, we present a peridynamic (PD)-based solution for discrete dislocation
dynamics (DDD) problems using the superposition (SP) framework. By replacing the …

A peridynamic model for galvanic corrosion and fracture

J Zhao, S Jafarzadeh, M Rahmani, Z Chen, YR Kim… - Electrochimica …, 2021 - Elsevier
A coupled peridynamic (PD) corrosion-fracture model is introduced, in which the local
corrosion rate is determined by solving the corresponding electrostatic problem. By being …

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

Y Xia, H Wang, G Zheng, G Shen, P Hu - Computer Methods in Applied …, 2022 - Elsevier
A discontinuous Galerkin (DG) isogeometric analysis (IGA) formulation with peridynamic
(PD) model is proposed for the simulation of cracks in shell structure. A micro-beam PD …

Peridynamic electromechanical modeling of damaging and cracking in conductive composites: A stochastically homogenized approach

P Wu, Z Chen - Composite Structures, 2023 - Elsevier
In this paper, a coupled electromechanical peridynamic model is introduced to describe
damaging and cracking in conducting composites. In this model, electrical peridynamic …

A GPU parallel scheme for accelerating 2D and 3D peridynamics models

X Wang, Q Wang, B An, Q He, P Wang, J Wu - Theoretical and Applied …, 2022 - Elsevier
Peridynamics (PD) is prevailing in the numerical simulations of damage evolution, but with
the cost of far more required computations than traditional methods. This paper proposes a …

A space-time discretization of a nonlinear peridynamic model on a 2D lamina

L Lopez, SF Pellegrino - Computers & Mathematics with Applications, 2022 - Elsevier
Peridynamics is a nonlocal theory for dynamic fracture analysis consisting in a second order
in time partial integro-differential equation. In this paper, we consider a nonlinear model of …

PeriFast/Dynamics: a MATLAB code for explicit fast convolution-based peridynamic analysis of deformation and fracture

S Jafarzadeh, F Mousavi, L Wang, F Bobaru - Journal of Peridynamics and …, 2024 - Springer
Abstract We present PeriFast/Dynamics, a compact and user-friendly MATLAB code for fast
peridynamic (PD) simulations for deformation and fracture. PeriFast/Dynamics uses the fast …