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

  • L. Scardia

Research output: Contribution to journalArticleAcademicpeer-review

11 Citations (Scopus)
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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.
Original languageEnglish
Pages (from-to)1703-1740
JournalMathematical Models and Methods in Applied Sciences
Volume18
DOIs
Publication statusPublished - 2008

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