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 …

Peridynamic theory of solid mechanics

SA Silling, RB Lehoucq - Advances in applied mechanics, 2010 - Elsevier
Publisher Summary The classical theory of solid mechanics is based on the assumption of a
continuous distribution of mass within a body and all internal forces are contact forces that …

[PDF][PDF] 近场动力学方法及其应用

黄丹, 章青, 乔丕忠, 沈峰 - 力学进展, 2010 - lxjz.cstam.org.cn
近场动力学方法及其应用* Page 1 第40 卷第4 期 力学进展 Vol. 40 No. 4 2010 年7 月25 日
ADVANCES IN MECHANICS July 25, 2010 近场动力学方法及其应用* 黄丹1,2,† 章青1,2 乔丕忠 …

Surface corrections for peridynamic models in elasticity and fracture

QV Le, F Bobaru - Computational Mechanics, 2018 - Springer
Peridynamic models are derived by assuming that a material point is located in the bulk.
Near a surface or boundary, material points do not have a full non-local neighborhood. This …

Peridynamic states and constitutive modeling

SA Silling, M Epton, O Weckner, J Xu, E Askari - Journal of elasticity, 2007 - Springer
A generalization of the original peridynamic framework for solid mechanics is proposed. This
generalization permits the response of a material at a point to depend collectively on the …

Why do cracks branch? A peridynamic investigation of dynamic brittle fracture

F Bobaru, G Zhang - International Journal of Fracture, 2015 - Springer
In this paper we review the peridynamic model for brittle fracture and use it to investigate
crack branching in brittle homogeneous and isotropic materials. The peridynamic …

Characteristics of dynamic brittle fracture captured with peridynamics

YD Ha, F Bobaru - Engineering Fracture Mechanics, 2011 - Elsevier
Using a bond-based peridynamic model, we are able to reproduce various characteristics of
dynamic brittle fracture observed in experiments; crack branching, crack-path instability …

Non-ordinary state-based peridynamic analysis of stationary crack problems

MS Breitenfeld, PH Geubelle, O Weckner… - Computer Methods in …, 2014 - Elsevier
An implicit implementation of the non-ordinary state-based peridynamics formulation for
quasi-static linearly elastic solids is presented. Emphasis is placed on assessing the …

Static solution of crack propagation problems in peridynamics

T Ni, M Zaccariotto, QZ Zhu, U Galvanetto - Computer Methods in Applied …, 2019 - Elsevier
The static solution of crack propagation problems can be an efficient way to find both the
failure load of a structure and the shape of the crack pattern. The paper introduces two new …

An improved peridynamic approach for quasi-static elastic deformation and brittle fracture analysis

D Huang, G Lu, P Qiao - International Journal of Mechanical Sciences, 2015 - Elsevier
An extended bond-based peridynamic (PD) approach is presented for quasi-static
mechanical behavior and brittle failure analysis of materials and structures. A local artificial …