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arxiv: 1611.02339 · v1 · pith:YZLQZEU2new · submitted 2016-11-07 · 🧮 math.AP

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

classification 🧮 math.AP
keywords crackhomogenizationcompositesdeflectioninclusionsmechanismsofttoughening
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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.

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