[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 …

Peridynamics review

A Javili, R Morasata, E Oterkus… - … and Mechanics of …, 2019 - journals.sagepub.com
Peridynamics (PD) is a novel continuum mechanics theory established by Stewart Silling in
2000. The roots of PD can be traced back to the early works of Gabrio Piola according to …

[HTML][HTML] Discrete mechanical models of concrete fracture

JE Bolander, J Eliáš, G Cusatis, K Nagai - Engineering Fracture Mechanics, 2021 - Elsevier
Discrete models of solids have been motivated, in large part, by the discontinuous and
heterogeneous nature of material structure and its breakdown under loading. The …

A multi-horizon fully coupled thermo-mechanical peridynamics

C Yang, F Zhu, J Zhao - Journal of the Mechanics and Physics of Solids, 2024 - Elsevier
This paper presents a fully coupled thermo-mechanical peridynamic model for simulating
interactive thermo-mechanical material responses and thermally induced fracturing of solids …

Critical comparison of phase-field, peridynamics, and crack band model M7 in light of gap test and classical fracture tests

ZP Bažant, HT Nguyen… - Journal of Applied …, 2022 - asmedigitalcollection.asme.org
The recently conceived gap test and its simulation revealed that the fracture energy Gf (or
Kc, Jcr) of concrete, plastic-hardening metals, composites, and probably most materials can …

New perspective of fracture mechanics inspired by gap test with crack-parallel compression

H Nguyen, M Pathirage, M Rezaei, M Issa… - Proceedings of the …, 2020 - pnas.org
The line crack models, including linear elastic fracture mechanics (LEFM), cohesive crack
model (CCM), and extended finite element method (XFEM), rest on the century-old …

A new exploration of mesoscopic structure in the nonlocal macro-meso-scale consistent damage model for quasi-brittle materials

J Chen, J **e, G Lu - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
In the present study, a new exploration of the mesoscopic structure is proposed for the
nonlocal macro‑meso-scale consistent damage (NMMD) model, and the definition from …

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 …

Simulating concrete failure using the Microplane (M7) constitutive model in correspondence-based peridynamics: Validation for classical fracture tests and extension …

Y Bazilevs, M Behzadinasab, JT Foster - … of the Mechanics and Physics of …, 2022 - Elsevier
We begin the article by summarizing some key developments in the field of Peridynamics
(PD) and arrive at a conclusion that two schools of PD are emerging in recent years. One …