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arXiv · 0907.4162

Effective Elastic Moduli in Solids with High Crack Density

Robert Spatschek·Clemens Gugenberger·Efim Brener
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Abstract

We investigate the weakening of elastic materials through randomly distributed circles and cracks numerically and compare the results to predictions from homogenization theories. We find a good agreement for the case of randomly oriented cracks of equal length in an isotropic plane-strain medium for lower crack densities; for higher densities the material is weaker than predicted due to precursors of percolation. For a parallel alignment of cracks, where percolation does not occur, we analytically predict a power law decay of the effective elastic constants for high crack densities, and confirm this result numerically.

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Robert Spatschek, Clemens Gugenberger, Efim Brener. 2009-07-23. Effective Elastic Moduli in Solids with High Crack Density. https://doi.org/10.1103/physrevb.80.144106

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