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 …

Higher-order nonlocal operator theory for phase-field modeling of ductile fracture in elasto-plastic materials

N Nguyen-Thanh, Q Zhang, W Li, MS Wu, S Li… - Computer Methods in …, 2023 - Elsevier
In this work, we propose a novel approach based on the higher-order nonlocal operator for
the phase-field modeling of ductile fracture in elasto-plastic materials. The present method …

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 …

Phase-field modeling of anisotropic brittle fracture in rock-like materials and polycrystalline materials

N Nguyen-Thanh, H Nguyen-Xuan, W Li - Computers & Structures, 2024 - Elsevier
In this work, we propose a novel higher-order nonlocal operator method (NOM) based
anisotropic phase-field approach to brittle fractures in rock-like materials and polycrystalline …

Coupling of IGA and peridynamics for air-blast fluid-structure interaction using an immersed approach

M Behzadinasab, G Moutsanidis, N Trask, JT Foster… - Forces in …, 2021 - Elsevier
We present a novel formulation based on an immersed coupling of Isogeometric Analysis
(IGA) and Peridynamics (PD) for the simulation of fluid-structure interaction (FSI) …

Simulating air blast on concrete structures using the volumetric penalty coupling of isogeometric analysis and peridynamics

S Shende, M Behzadinasab, G Moutsanidis… - … Models and Methods …, 2022 - World Scientific
A stabilized Isogeometric formulation of compressible flows is coupled to a large-
deformation inelastic solid with an M7 Microplane constitutive model of concrete failure …

On differences and comparisons of peridynamic differential operators and nonlocal differential operators

X Kan, J Yan, S Li, AM Zhang - Computational Mechanics, 2021 - Springer
In recent years, two types of nonlocal differential operators and their theories and
formulations have been proposed and used in numerical modeling and computations …

A stable formulation of correspondence‐based peridynamics with a computational structure of a method using nodal integration

J Wang, M Behzadinasab, W Li… - International Journal for …, 2024 - Wiley Online Library
In this paper, we lay out a variational framework for correspondence‐based peridynamic
(PD) formulations of solid mechanics. Using the framework, we address the numerical …

A general-purpose, inelastic, rotation-free Kirchhoff–Love shell formulation for peridynamics

M Behzadinasab, M Alaydin, N Trask… - Computer Methods in …, 2022 - Elsevier
We present a comprehensive rotation-free Kirchhoff–Love (KL) shell formulation for
peridynamics (PD) that is capable of modeling large elasto-plastic deformations and fracture …

Convergence analysis and numerical studies for linearly elastic peridynamics with dirichlet-type boundary conditions

M Foss, P Radu, Y Yu - Journal of Peridynamics and Nonlocal Modeling, 2023 - Springer
The nonlocal models of peridynamics have successfully predicted fractures and
deformations for a variety of materials. In contrast to local mechanics, peridynamic boundary …