| Abstract: |
| In this talk, I present variational models for materials with voids in both geometrically linear and nonlinear elasticity. Specifically, we consider functionals featuring elastic bulk terms and a surface contribution proportional to the surface area of the voids within the material. We first discuss a relaxation result that leads to an additional surface term related to the phenomenon of collapsing voids. We then present an application to the derivation of effective homogenization limits for heterogeneous materials. |
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