Calculus of Variations and Geometric Measure Theory
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M. Barchiesi

Toughening by crack deflection in the homogenization of brittle composites with soft inclusions

created by barchiesi on 09 Aug 2016
modified on 02 Feb 2019


Published Paper

Inserted: 9 aug 2016
Last Updated: 2 feb 2019

Journal: Arch. Ration. Mech. Anal.
Volume: 227
Pages: 749–766
Year: 2018
Doi: 10.1007/s00205-017-1173-5
Links: official version


We present a simple example of toughening mechanism in the homogenization of composites with soft inclusions, produced by crack deflection at microscopic level. We show that the mechanism is connected to the irreversibility of the crack process. Because of that it cannot be detected through the standard homogenization tool of the $\Gamma$-convergence.

Keywords: Homogenization, brittle composites, toughening mechanism


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