Dynamic fracture with continuum-kinematics-based peridynamics

TL;DR

This paper introduces a continuum-kinematics-based peridynamics framework for dynamic fracture, accurately modeling large deformations and crack evolution by extending classical bond-stretch damage with surface- and volume-based failure variables.

Contribution

It develops a geometrically exact peridynamics formulation that incorporates surface and volume interactions, enabling realistic simulation of dynamic fracture phenomena.

Findings

Successfully models crack growth and impact damage

Handles spontaneous crack initiation under dynamic loads

Accurately captures large deformation kinematics

Abstract

This contribution presents a concept to dynamic fracture with continuum-kinematics-based peridynamics. Continuum-kinematics-based peridynamics is a geometrically exact formulation of peridynamics, which adds surface- or volumetric-based interactions to the classical peridynamic bonds, thus capturing the finite deformation kinematics correctly. The surfaces and volumes considered for these non-local interactions are constructed using the point families derived from the material points' horizon. For fracture, the classical bond-stretch damage approach is not sufficient in continuum-kinematics-based peridynamics. Here it is extended to the surface- and volume-based interactions by additional failure variables considering the loss of strength in the material points' internal force densities. By numerical examples, it is shown that the approach can correctly handle crack growth, impact damage, and spontaneous crack initiation under dynamic loading conditions with large deformations.