Regensburg 2010 – wissenschaftliches Programm
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MM: Fachverband Metall- und Materialphysik
MM 38: Mechanical Properties III
MM 38.4: Vortrag
Mittwoch, 24. März 2010, 17:15–17:30, H16
Effective Elastic Moduli in Solids with High Density of Cracks — •Robert Spatschek1, Clemens Gugenberger2, and Efim Brener2 — 1ICAMS, Ruhr-Universität Bochum — 2IFF, Forschungszentrum Jülich
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.