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

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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.
28 pages, 2 figures. Accepted in M3AS

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Mathematical Physics, Analysis of PDEs, 74Q99, 74R05, 74R10

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http://salesiana.dossiersoluciones.com/handle/123456789/156345

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.0931
 http://arxiv.org/abs/0803.0931

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arXiv