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 …

State-of-the-art review on the progressive failure characteristics of geomaterials in peridynamic theory

XP Zhou, YT Wang - Journal of Engineering Mechanics, 2021 - ascelibrary.org
Peridynamic (PD) theory is an integral-type nonlocal continuum mechanics theory that
reformulates the equation of motion in local continuum mechanics as an integrodifferential …

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 …

Coupling of FEM meshes with Peridynamic grids

M Zaccariotto, T Mudric, D Tomasi, A Shojaei… - Computer Methods in …, 2018 - Elsevier
The paper presents an effective and accurate way to couple FEM meshes to peridynamic
grids and uses it to solve 1D, 2D and 3D problems in static and dynamic conditions. Crack …

A peridynamics formulation for quasi-static fracture and contact in rock

T Rabczuk, H Ren - Engineering Geology, 2017 - Elsevier
We present a dual-horizon peridynamics (DH-PD) formulation for fracture in granular and
rock-like materials. In contrast to discrete crack methods such as XFEM, DH-PD does not …

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 …

An effective way to couple FEM meshes and Peridynamics grids for the solution of static equilibrium problems

U Galvanetto, T Mudric, A Shojaei… - Mechanics Research …, 2016 - Elsevier
Peridynamics is a continuum theory based on a non-local approach and capable of dealing
with discontinuous displacement fields. The paper presents a technique to couple …

A hybrid meshfree discretization to improve the numerical performance of peridynamic models

A Shojaei, A Hermann, CJ Cyron, P Seleson… - Computer methods in …, 2022 - Elsevier
Efficient and accurate calculation of spatial integrals is of major interest in the numerical
implementation of peridynamics (PD). The standard way to perform this calculation is a …

A coupling approach of the isogeometric–meshfree method and peridynamics for static and dynamic crack propagation

Q Zhang, N Nguyen-Thanh, W Li, AM Zhang… - Computer Methods in …, 2023 - Elsevier
A coupling approach of the isogeometric–meshfree method and the peridynamic method is
developed for static and dynamic crack propagation. The coupling approach exhibits …

A coupling approach of discretized peridynamics with finite element method

W Liu, JW Hong - Computer methods in applied mechanics and …, 2012 - Elsevier
Peridynamics is a reformulated theory of classical continuum mechanics, and it remains
valid at discontinuities. However, peridynamics compared to the finite element method …