[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 …

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 …

Dual-horizon peridynamics: A stable solution to varying horizons

H Ren, X Zhuang, T Rabczuk - Computer Methods in Applied Mechanics …, 2017 - Elsevier
In this paper, we present a dual-horizon peridynamics formulation which allows for
simulations with dual-horizon with minimal spurious wave reflection. We prove the general …

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 …

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 …

A coupled 3D thermo-mechanical peridynamic model for cracking analysis of homogeneous and heterogeneous materials

WK Sun, BB Yin, A Akbar, VKR Kodur… - Computer Methods in …, 2024 - Elsevier
This paper proposes a variable timestep-strategy that can speed up the peridynamic
modeling of thermomechanical cracking in both homogeneous and heterogeneous …

A non-ordinary state-based peridynamics formulation for thermoplastic fracture

J Amani, E Oterkus, P Areias, G Zi… - International Journal of …, 2016 - Elsevier
In this study, a three-dimensional (3D) non-ordinary state-based peridynamics (NOSB-PD)
formulation for thermomechanical brittle and ductile fracture is presented. The Johnson …

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 …

Crack propagation with adaptive grid refinement in 2D peridynamics

D Dipasquale, M Zaccariotto, U Galvanetto - International Journal of …, 2014 - Springer
The most common technique for the numerical implementation of peridynamic theory is
based on a mesh-free approach, in which the whole body is discretized with a uniform grid …

The fully coupled thermo-mechanical dual-horizon peridynamic correspondence damage model for homogeneous and heterogeneous materials

Y Bie, H Ren, T Rabczuk, TQ Bui, Y Wei - Computer Methods in Applied …, 2024 - Elsevier
To accurately address the thermally induced dynamic and steady-state crack propagation
problems for homogeneous and heterogeneous materials involving crack branching …