Journal
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
Volume 18, Issue 10, Pages 1703-1740Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218202508003170
Keywords
Brittle fracture; damage; homogenization; Gamma-convergence; integral representation
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Funding
- Italian Ministry of University and Research
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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.
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