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math.AP2026
Nondegenerate gradient Young measures and dimension reduction for nonlinear membranes
Gokul G. Nair, David Padilla-Garza, Marco Picchi Scardaoni
We consider the rigorous derivation of membrane theories from three-dimensional nonlinear elasticity. A salient feature of our framework is the inclusion of an orientation-preserva…
math.AP2026
Energy scaling laws for thin elastic sheets with topological defects
Raz Kupferman, Cy Maor, David Padilla-Garza
We derive energy scaling laws for thin elastic sheets with topological defects --- disclinations and dislocations --- for a fully nonlinear 3D model. For disclinations, the scaling…