The Γ-convergence of a Sharp Interface Thin Film Model with Non-convex Elastic Energy
نویسنده
چکیده
We give results for the Γ-limit of a scaled elastic energy of a film as the thickness h > 0 converges to zero. The elastic energy density models materials with multiple phases or variants and is thus non-convex. The model includes an interfacial energy that allows sharp interfaces between the phases and variants and is proportional to the total variation of the deformation gradient.
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