Calculus of Variations and Geometric Measure Theory
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L. Scardia

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

created by scardia on 17 May 2010
modified on 01 Apr 2014


Published Paper

Inserted: 17 may 2010
Last Updated: 1 apr 2014

Journal: Adv. Calc. Var.
Year: 2009


A homogenization result is given for a material with brittle periodic inclusions, under the requirement that the interpenetration of matter is forbidden. According to the ratio between the softness of the inclusions and the size of the microstucture, three different limit models are deduced via Gamma-convergence. In particular it is shown that in the limit the non-interpenetration constraint breaks the symmetry between states where the material is in extension and in compression.

Keywords: Homogenization, non-interpenetration


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