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MiS Preprint
27/2008

Damage as Gamma-limit of microfractures in linearized elasticity under the non-interpenetration constraint

Lucia Scardia

Abstract

A homogenization result is given for a material having soft inclusions arranged in a periodic structure, under the requirement that the interpenetration of matter is forbidden. According to the relation between the softness parameter and the size of the microstucture, three different limit models are deduced via Gamma-convergence.

Received:
Mar 31, 2008
Published:
Jun 3, 2008
MSC Codes:
74Q99, 74R05, 74R10
Keywords:
damage, non-interpenetration, homogenization

Related publications

inJournal
2010 Repository Open Access
Lucia Scardia

Damage as \(\Gamma\)-limit of microfractures in linearized elasticity under the non-interpenetration constraint

In: Advances in calculus of variations, 3 (2010) 4, pp. 423-458