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

Lucia Scardia

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Submission date: 31. Mar. 2008
Pages: 30
published in: Mathematical models and methods in applied sciences, 18 (2008) 10, p. 1703-1740 
DOI number (of the published article): 10.1142/S0218202508003170
Bibtex
MSC-Numbers: 74Q99, 74R05, 74R10
Keywords and phrases: Brittle fracture, damage, homogenization
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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.