A discontinuous Galerkin method for cohesive zone modelling

TL;DR

This paper introduces a discontinuous Galerkin finite element method tailored for small strain elasticity that seamlessly integrates cohesive zone modeling, enabling improved simulation of fracture processes.

Contribution

The work presents a novel discontinuous Galerkin approach that unifies discontinuous finite element methods with cohesive zone modeling for the first time.

Findings

Successful numerical examples demonstrating the method's effectiveness.

Seamless transition between DG method and cohesive zone modeling.

Potential for improved fracture simulation accuracy.

Abstract

We propose a discontinuous finite element method for small strain elasticity allowing for cohesive zone modeling. The method yields a seamless transition between the discontinuous Galerkin method and classical cohesive zone modeling. Some relevant numerical examples are presented.