Damage as Γ-limit of Microfractures in Linearized Elasticity under the Non-interpenetration Constraint
نویسندگان
چکیده
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 Γ-convergence.
منابع مشابه
Damage as Γ-limit of Microfractures in Anti-plane Linearized Elasticity
A homogenization result is given for a material having brittle inclusions arranged in a periodic structure. According to the relation between the softness parameter and the size of the microstructure, three different limit models are deduced via Γ-convergence. In particular, damage is obtained as limit of periodically distributed microfractures.
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