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 …

An overview of the modelling of fracture by gradient damage models

JJ Marigo, C Maurini, K Pham - Meccanica, 2016 - Springer
The paper is devoted to gradient damage models which allow us to describe all the process
of degradation of a body including the nucleation of cracks and their propagation. The …

A length scale insensitive phase-field damage model for brittle fracture

JY Wu, VP Nguyen - Journal of the Mechanics and Physics of Solids, 2018 - Elsevier
Being able to model complex nucleation, propagation, branching and merging of cracks in
solids within a unified framework, the classical phase-field models for brittle fracture fail in …

Crack nucleation in variational phase-field models of brittle fracture

E Tanné, T Li, B Bourdin, JJ Marigo… - Journal of the Mechanics …, 2018 - Elsevier
Phase-field models, sometimes referred to as gradient damage or smeared crack models,
are widely used methods for the numerical simulation of crack propagation in brittle …

A phase-field formulation for dynamic cohesive fracture

RJM Geelen, Y Liu, T Hu, MR Tupek… - Computer Methods in …, 2019 - Elsevier
We extend a phase-field/gradient damage formulation for cohesive fracture to the dynamic
case. The model is characterized by a regularized fracture energy that is linear in the …

Phase-field modeling of anisotropic brittle fracture including several damage mechanisms

J Bleyer, R Alessi - Computer Methods in Applied Mechanics and …, 2018 - Elsevier
The present paper aims at modeling complex fracture phenomena where different damaging
mechanisms are involved. For this purpose, the standard one-variable phase-field/gradient …

A strain gradient variational approach to damage: a comparison with damage gradient models and numerical results

L Placidi, E Barchiesi, A Misra - Mathematics and Mechanics of Complex …, 2018 - msp.org
The global response of experimental uniaxial tests cannot be homogeneous, because of the
unavoidable presence of localized deformations, which is always preferential from an …

On the choice of parameters in the phase field method for simulating crack initiation with experimental validation

TT Nguyen, J Yvonnet, M Bornert, C Chateau… - International Journal of …, 2016 - Springer
The phase field method is a versatile simulation framework for studying initiation and
propagation of complex crack networks without dependence to the finite element mesh. In …

Validation simulations for the variational approach to fracture

A Mesgarnejad, B Bourdin, MM Khonsari - Computer Methods in Applied …, 2015 - Elsevier
In this article, we focus on the validation of Francfort and Marigo's variational approach to
fracture based on some classical fracture experiments. We show that this approach can be …

固体结构损伤破坏统一相场理论, 算法和应用

吴建营 - 力学学报, 2021 - lxxb.cstam.org.cn
固体开裂引起的损伤和断裂是工程材料和结构最为普遍的破坏形式. 为了防止这种破坏,
结构设计首先必须了解裂缝在固体内如何萌生, 扩展, 分叉, 汇聚甚至破碎; 更重要的是 …