Fracture Mechanics in Perforated Domains: a Variational Model for Brittle Porous Media
نویسندگان
چکیده
This paper deals with fracture mechanics in periodically perforated domains. Our aim is to provide a variational model for brittle porous media. For the sake of simplicity we will restrict our analysis to the case of anti-planar elasticity. Given the perforated domain Ωε ⊂ R N (ε being an internal scale representing the size of the periodically distributed perforations), we will consider a total energy of the type
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