Calculus of Variations and Geometric Measure Theory
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L. Scardia

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

created by scardia on 17 May 2010


Published Paper

Inserted: 17 may 2010

Journal: Math. Models Methods Appl. Sci.
Volume: 18
Number: 10
Pages: 1703-1740
Year: 2008


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.

Keywords: Homogenization, damage


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