Physics – Condensed Matter – Materials Science
Scientific paper
2009-07-23
Physics
Condensed Matter
Materials Science
8 pages
Scientific paper
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.
Brener Efim
Gugenberger Clemens
Spatschek Robert
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