The anelastic deformation of solids is often treated using continuum damage mechanics. An alternative approach to the brittle failure of a solid is provided by the discrete fiber-bundle model. Here we show that the continuum damage model can give exactly the same solution for material failure as the fiber-bundle model. We compare both models with laboratory experiments on the time dependent failure of chipboard and fiberglass. The power-law scaling obtained in both models and in the experiments is consistent with the power-law seismic activation observed prior to some earthquakes.
Institute for Mathematics and Its Applications>IMA Preprints Series
Turcotte, Donald L.; Newman, William I.; Shcherbakov, Robert.
Micro- and macro-scopic models of rock fracture.
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