A hybrid meshfree discretization to improve the numerical performance of peridynamic models

A Shojaei, A Hermann, CJ Cyron, P Seleson… - Computer methods in …, 2022 - Elsevier
Efficient and accurate calculation of spatial integrals is of major interest in the numerical
implementation of peridynamics (PD). The standard way to perform this calculation is a …

An improved coupled thermo-mechanic bond-based peridynamic model for cracking behaviors in brittle solids subjected to thermal shocks

Y Wang, X Zhou, M Kou - European Journal of Mechanics-A/Solids, 2019 - Elsevier
An improved coupled thermo-mechanical bond-based peridynamics with multirate time
integration scheme is developed to study the thermal shock cracking behaviors in brittle …

A coupled thermo-mechanical bond-based peridynamics for simulating thermal cracking in rocks

Y Wang, X Zhou, M Kou - International Journal of Fracture, 2018 - Springer
A coupled thermo-mechanical bond-based peridynamical (TM-BB-PD) method is developed
to simulate thermal cracking processes in rocks. The coupled thermo-mechanical model …

Peridynamic elastic waves in two-dimensional unbounded domains: Construction of nonlocal Dirichlet-type absorbing boundary conditions

A Shojaei, A Hermann, P Seleson, SA Silling… - Computer methods in …, 2023 - Elsevier
The focus of this paper is on application of peridynamics (PD) to propagation of elastic
waves in unbounded domains. We construct absorbing boundary conditions (ABCs) derived …

An adaptive multi-grid peridynamic method for dynamic fracture analysis

A Shojaei, F Mossaiby, M Zaccariotto… - International Journal of …, 2018 - Elsevier
The standard way of implementing Peridynamics is a meshfree approach which uses a
uniform discretization. This is inefficient when a very dense grid spacing for a localized area …

A generalized finite difference method based on the Peridynamic differential operator for the solution of problems in bounded and unbounded domains

A Shojaei, U Galvanetto, T Rabczuk, A Jenabi… - Computer Methods in …, 2019 - Elsevier
In this paper, a generalized finite difference method (GFDM) based on the Peridynamic
differential operator (PDDO) is investigated. The weighted moving least square (MLS) …

Multi-adaptive spatial discretization of bond-based peridynamics

G Ongaro, A Shojaei, F Mossaiby, A Hermann… - International journal of …, 2023 - Springer
Peridynamic (PD) models are commonly implemented by exploiting a particle-based method
referred to as standard scheme. Compared to numerical methods based on classical …

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

Numerical investigations on crack propagation and crack branching in brittle solids under dynamic loading using bond-particle model

MM Kou, YJ Lian, YT Wang - Engineering Fracture Mechanics, 2019 - Elsevier
In this article, the bond-particle methodology (BPM) is applied to investigate the crack
propagation and crack branching, which is belong to dynamic fracture instabilities, in PMMA …

[HTML][HTML] Opencl implementation of a high performance 3d peridynamic model on graphics accelerators

F Mossaiby, A Shojaei, M Zaccariotto… - … & Mathematics with …, 2017 - Elsevier
Parallel processing is one of the major trends in the computational mechanics community.
Due to inherent limitations in processor design, manufacturers have shifted towards the multi …