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The Cosserat Vector in Membrane Theory: A variational Approach
M. Luisa Mascarenhas
Abstract: In a previous article (see [BFM]) the autors studied a model of nonlinear membrane where the external surface loading induces a density of bending moment. Due to the special form of the applied surface forces, the emerging Cosserat vector, resulting from the 3D-2D dimension reduction, was restricted to a class of two dimensional functions. In the paper the full 3D dependence of the Cosserat vector is analyzed via -convergence techniques.
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