Phase Field Modeling of Fast Crack Propagation

TL;DR

This paper introduces a phase field model incorporating elastodynamic effects to predict steady-state fast crack propagation, overcoming previous singularity issues and confirming predictions through simulations.

Contribution

It develops a novel phase field model that includes elastodynamic effects to accurately simulate fast crack propagation.

Findings

The model predicts steady-state crack tip radius and velocity.

Simulations confirm analytical predictions for rapid crack growth.

The approach overcomes the cusp singularity problem in fracture modeling.

Abstract

We present a continuum theory which predicts the steady state propagation of cracks. The theory overcomes the usual problem of a finite time cusp singularity of the Grinfeld instability by the inclusion of elastodynamic effects which restore selection of the steady state tip radius and velocity. We developed a phase field model for elastically induced phase transitions; in the limit of small or vanishing elastic coefficients in the new phase, fracture can be studied. The simulations confirm analytical predictions for fast crack propagation.