The Cosserat Vector in Membrane Theory: A Variational Approach

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In a previous article (see [2]) the authors 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 this paper the full 3D dependence of the Cosserat vector is analyzed via Gamma-convergence techniques.
Original languageUnknown
Pages (from-to)351-365
JournalJournal Of Convex Analysis
Issue number2
Publication statusPublished - 1 Jan 2009

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