Phase-Field Model of Mode III Dynamic Fracture

2001/05/14 by Alain Karma, David A. Kessler, Herbert Levine · 14 citations
Engineering · Materials Science · Physics and Astronomy · #Fluid Dynamics and Thin Films #Numerical methods in engineering #Solidification and crystal growth phenomena #cond-mat.soft

paper · pdf · doi:10.1103/physrevlett.87.045501

submitted to PRL

arxiv created 2001/05/14 · openalex publication_date 2001/07/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We introduce a phenomenological continuum model for the mode III dynamic fracture that is based on the phase-field methodology used extensively to model interfacial pattern formation. We couple a scalar field, which distinguishes between "broken" and "unbroken" states of the system, to the displacement field in a way that consistently includes both macroscopic elasticity and a simple rotationally invariant short-scale description of breaking. We report two-dimensional simulations that yield steady-state crack motion in a strip geometry above the Griffith threshold.

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