Dynamic brittle fracture using Lip-field approach in an explicit dynamics context

TL;DR

This paper extends the Lip-field regularization method to model dynamic brittle fracture in two-dimensional materials under high strain rate loading, using an explicit scheme to analyze damage evolution and fracture behavior.

Contribution

It introduces a two-dimensional dynamic fracture model using Lip-field regularization with an explicit scheme, advancing the application of this method beyond quasi-static cases.

Findings

Lip-field approach effectively models dynamic fracture in 2D.

The explicit scheme captures high strain rate effects.

Numerical results demonstrate realistic damage evolution.

Abstract

This paper aims to investigate the dynamic response of a material body undergoing fracture subjected to high strain rate loading conditions such as impact or explosion. In particular, our focus is limited to softening elastic damage models using Lip-field regularization. The Lip-field approach is a new technique to introduce length scale into the softening damage models. It was first presented for the quasi-static case and then extended to a one-dimensional dynamic case. This paper extends the application of the Lip-field approach to dynamic fracture in two-dimensional cases. Lip-field approach is a variational approach, in which the potential to be minimized is a non-regularized one. A potential without regularization can result in spurious strain localization, but the Lip-field approach resolves this issue by imposing Lipschitz constraints on the damage field. Our focus is limited to utilizing an explicit staggered scheme to determine the displacement and damage fields. Numerical studies are conducted for two-dimensional cases to assess the dynamic behavior of the proposed model.