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

2008/03/06 by Lucia Scardia, Scardia, Lucia
Engineering · Computer Science · #Composite Material Mechanics #Advanced Mathematical Modeling in Engineering #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.0803.0931

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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