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Abstract
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 Γ-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.: Brittle fracture; damage; non-interpenetration; homogenization; Γ-convergence; integral representation
Received: 2010-02-14
Revised: 2010-05-16
Published Online: 2010-10-20
Published in Print: 2010-October
© de Gruyter 2010
