A new shape optimization approach for fracture propagation

TL;DR

This paper introduces a shape optimization method for fracture simulation that avoids the need for a length-scale parameter, offering an alternative to phase-field models with promising numerical results.

Contribution

The paper presents a novel shape optimization approach for fracture propagation that does not rely on a length-scale parameter, differing from traditional phase-field methods.

Findings

Numerical comparisons show competitive accuracy with established methods.

The approach simplifies fracture modeling by removing the length-scale parameter.

Results demonstrate effective simulation of tension and shear tests.

Abstract

Within this work, we present a novel approach to fracture simulations based on shape optimization techniques. Contrary to widely-used phase-field approaches in literature the proposed method does not require a specified 'length-scale' parameter defining the diffused interface region of the phase-field. We provide the formulation and discuss the used solution approach. We conclude with some numerical comparisons with well-established single-edge notch tension and shear tests.