Phase-Field Model of Mode III Dynamic Fracture

Details Phase-Field Model of Mode III Dynamic Fracture Phase-Field Model of Mode III Dynamic Fracture

2001-05-02

arxiv.org/abs/cond-mat/0105034v2

Physics

Condensed Matter

Soft Condensed Matter

submitted to PRL

Scientific paper

10.1103/PhysRevLett.87.045501

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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