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 …

Coupling of FEM meshes with Peridynamic grids

M Zaccariotto, T Mudric, D Tomasi, A Shojaei… - Computer Methods in …, 2018 - Elsevier
The paper presents an effective and accurate way to couple FEM meshes to peridynamic
grids and uses it to solve 1D, 2D and 3D problems in static and dynamic conditions. Crack …

An effective way to couple FEM meshes and Peridynamics grids for the solution of static equilibrium problems

U Galvanetto, T Mudric, A Shojaei… - Mechanics Research …, 2016 - Elsevier
Peridynamics is a continuum theory based on a non-local approach and capable of dealing
with discontinuous displacement fields. The paper presents a technique to couple …

A morphing approach to couple state-based peridynamics with classical continuum mechanics

F Han, G Lubineau, Y Azdoud, A Askari - Computer methods in applied …, 2016 - Elsevier
A local/nonlocal coupling technique called the morphing method is developed to couple
classical continuum mechanics with state-based peridynamics. State-based peridynamics …

Peridynamic micromechanics of composites: a review

VA Buryachenko - Journal of Peridynamics and Nonlocal Modeling, 2024 - Springer
A static peridynamic (proposed by Silling, see J. Mech. Phys. Solids 2000; 48: 175–209)
composite materials (CMs) of both the random and periodic structures are considered. In the …

Coupling of FEM and ordinary state-based peridynamics for brittle failure analysis in 3D

T Ni, M Zaccariotto, QZ Zhu… - Mechanics of advanced …, 2021 - Taylor & Francis
This paper presents a method to couple FEM meshes with ordinary state-based peridynamic
grids. It generates a computational tool that is as efficient as computer methods based on …

An enhanced coupling of PD grids to FE meshes

M Zaccariotto, D Tomasi, U Galvanetto - Mechanics Research …, 2017 - Elsevier
The paper presents a new and simple way to couple FEM meshes to Peridynamic grids with
different grid sizes. The excellent performance of the coupling technique is illustrated by …

Abaqus implementation of dual peridynamics for brittle fracture

YH Bie, ZM Liu, H Yang, XY Cui - Computer methods in applied mechanics …, 2020 - Elsevier
A dual peridynamics (PD) for brittle fracture is implemented in the commercial software
Abaqus by means of UEL/VUEL and UMAT/VUMAT subroutines, thereby, the peridynamic …

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 …

[图书][B] Local and nonlocal micromechanics of heterogeneous materials

VA Buryachenko - 2022 - Springer
Materials that are either manufactured or occur in nature and used both in industry and in
our daily lives (metals, rocks, wood, soil, suspensions, and biological tissue) are very …