

Preprint 27/2008
Damage as Gamma-limit of microfractures in linearized elasticity under the non-interpenetration constraint
Lucia Scardia
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Submission date: 31. Mar. 2008
Pages: 28
published in: Advances in calculus of variations, 3 (2010) 4, p. 423-458
DOI number (of the published article): 10.1515/ACV.2010.020
Bibtex
MSC-Numbers: 74Q99, 74R05, 74R10
Keywords and phrases: damage, non-interpenetration, homogenization
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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.