Damage as Gamma-limit of microfractures in linearized elasticity under the non-interpenetration constraint
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Submission date: 31. Mar. 2008
published in: Advances in calculus of variations, 3 (2010) 4, p. 423-458
DOI number (of the published article): 10.1515/ACV.2010.020
MSC-Numbers: 74Q99, 74R05, 74R10
Keywords and phrases: damage, non-interpenetration, homogenization
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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.