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Nonequilibrium brittle fracture propagation: Steady state, oscillations and intermittency

Raphael Blumenfeld
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Abstract

A minimal model is constructed for two-dimensional fracture propagation. The heterogeneous process zone is presumed to suppress stress relaxation rate, leading to non-quasistatic behavior. Using the Yoffe solution, I construct and solve a dynamical equation for the tip stress. I discuss a generic tip velocity response to local stress and find that noise-free propagation is either at steady state or oscillatory, depending only on one material parameter. Noise gives rise to intermittency and quasi-periodicity. The theory explains the velocity oscillations and the complicated behavior seen in polymeric and amorphous brittle materials. I suggest experimental verifications and new connections between velocity measurements and material properties.

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Raphael Blumenfeld. 1996-05-01. Nonequilibrium brittle fracture propagation: Steady state, oscillations and intermittency. https://doi.org/10.1103/physrevlett.76.3703

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