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arxiv: 0803.0931 · v1 · submitted 2008-03-06 · 🧮 math-ph · math.AP· math.MP

Damage as Gamma-limit of microfractures in anti-plane linearized elasticity

classification 🧮 math-ph math.APmath.MP
keywords damagelimitmicrofracturesaccordinganti-planearrangedbrittlededuced
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A homogenization result is given for a material having brittle inclusions arranged in a periodic structure. According to the relation between the softness parameter and the size of the microstructure, three different limit models are deduced via Gamma-convergence. In particular, damage is obtained as limit of periodically distributed microfractures.

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