Quasi-static crack propagation in heterogeneous media

Details Quasi-static crack propagation in heterogeneous media Quasi-static crack propagation in heterogeneous media

1996-11-25

arxiv.org/abs/cond-mat/9611196v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 1 fig (eps file)

Scientific paper

10.1103/PhysRevLett.79.873

The dynamics of a single crack moving through a heterogeneous medium is studied in the quasi-static approximation. Equations of motion for the crack front are formulated and the resulting scaling behaviour analyzed. In a model scalar system and for mode III (tearing) cracks, the crack surface is found to be self affine with a roughness exponent of $\zeta=1/2$. But in the usual experimental case of mode I (tensile) cracks, local mode preference causes the crack surface to be only logarithmically rough, quite unlike those seen in experiments. The effects of residual stresses are considered and found, potentially, to lead to increased crack surface roughness. But it appears likely that elastic wave propagation effects may be needed to explain the very rough crack surfaces observed experimentally.

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