9 citations · 12 across the 4 of their papers we have counts for
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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.AP2023
Nonlinearly Elastic Maps: Energy Minimizing Configurations of Membranes on Prescribed Surfaces
Timothy J. Healey, Gokul G. Nair
We propose a model for nonlinearly elastic membranes undergoing finite deformations while confined to a regular frictionless surface in . This is a physically correct…
math.AP2022★ 2 cited
Energy Minimizing Configurations for Single-Director Cosserat Shells
Timothy J. Healey, Gokul G. Nair
We consider a class of single-director Cosserat shell models accounting for both curvature and finite mid-plane strains. We assume a polyconvexity condition for the stored-energy f…