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arXiv · cond-mat/0105034

Phase-Field Model of Mode III Dynamic Fracture

Alain Karma·David A. Kessler·Herbert Levine
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Abstract

We introduce a phenomenological continuum model for 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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Alain Karma, David A. Kessler, Herbert Levine. 2001-05-14. Phase-Field Model of Mode III Dynamic Fracture. https://doi.org/10.1103/physrevlett.87.045501

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