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Effective Elastic Moduli in Solids with High Crack Density

Authors
  • Spatschek, Robert
  • Gugenberger, Clemens
  • Brener, Efim
Type
Preprint
Publication Date
Jul 23, 2009
Submission Date
Jul 23, 2009
Identifiers
DOI: 10.1103/PhysRevB.80.144106
Source
arXiv
License
Yellow
External links

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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