A review of local-to-nonlocal coupling methods in nonlocal diffusion and nonlocal mechanics

M D'Elia, X Li, P Seleson, X Tian, Y Yu - Journal of Peridynamics and …, 2021 - Springer
Abstract Local-to-nonlocal (LtN) coupling refers to a class of methods aimed at combining
nonlocal and local modeling descriptions of a given system into a unified coupled …

[HTML][HTML] A review of peridynamic theory and nonlocal operators along with their computer implementations

M Dorduncu, H Ren, X Zhuang, S Silling… - Computers & …, 2024 - Elsevier
This study presents a comprehensive exploration of Peridynamic (PD) theory, with a specific
focus on its theoretical foundations and practical implementations, including various PD …

Overall equilibrium in the coupling of peridynamics and classical continuum mechanics

G Ongaro, P Seleson, U Galvanetto, T Ni… - Computer Methods in …, 2021 - Elsevier
Coupling peridynamics based computational tools with those using classical continuum
mechanics can be very beneficial, because it can provide a means to generate a …

Direct coupling of dual-horizon peridynamics with finite elements for irregular discretization without an overlap zone

SVK Anicode, E Madenci - Engineering with Computers, 2024 - Springer
This study presents the coupling of dual horizon bond-based, ordinary state-based and non-
ordinary state-based peridynamic (PD) with traditional finite elements in ANSYS, a …

[LIVRE][B] Nonlocal Modeling, Analysis, and Computation: Nonlocal Modeling, Analysis, and Computation

Q Du - 2019 - SIAM
Nonlocal Modeling, Analysis, and Computation : Back Matter Page 1 Bibliography [1] L.
ABDELOUHAB, J. BONA, M. FELLAND, AND J.-C. SAUT, Nonlocal models for nonlinear …

ANSYS implementation of a coupled 3D peridynamic and finite element analysis for crack propagation under quasi-static loading

Y Zhang, E Madenci, Q Zhang - Engineering Fracture Mechanics, 2022 - Elsevier
This study presents an approach to couple peridynamic (PD) and finite element method
(FEM) for 3D deformation and crack propagation in ANSYS framework. The stiffness matrix …

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 …

An efficient peridynamic framework based on the arc-length method for fracture modeling of brittle and quasi-brittle problems with snap** instabilities

P Sheikhbahaei, F Mossaiby, A Shojaei - Computers & Mathematics with …, 2023 - Elsevier
In this paper an implicit peridynamic (PD) framework is devised for the solution of quasi-
static problems involving brittle and quasi-brittle fracture. A common way to deal with such …

The peridigm meshfree peridynamics code

DJ Littlewood, ML Parks, JT Foster, JA Mitchell… - Journal of Peridynamics …, 2024 - Springer
Peridigm is a meshfree peridynamics code written in C++ for use on large-scale parallel
computers. It was originally developed at Sandia National Laboratories and is currently …

Superposition-based coupling of peridynamics and finite element method

W Sun, J Fish - Computational Mechanics, 2019 - Springer
A superposition-based coupling of peridynamics (PD) and finite element method (FEM) for
static and quasi-static problems is developed. The proposed coupling approach is based on …