Phase-field model of mode III dynamic fracture

Alain Karma, David A. Kessler, Herbert Levine

Research output: Contribution to journalArticlepeer-review

496 Scopus citations


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.

Original languageEnglish
Pages (from-to)45501-1-45501-4
JournalPhysical Review Letters
Issue number4
StatePublished - 23 Jul 2001


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