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arXiv · 0803.0931

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

Lucia Scardia
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Abstract

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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Lucia Scardia. 2008-03-06. Damage as Gamma-limit of microfractures in anti-plane linearized elasticity. https://arxiv.org/abs/0803.0931

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