Abstract
A model of nonlinear membrane is proposed where the external loading induces a density of bending moments. The mathematical justification of this model is obtained through a 3D–2D dimension reduction via a Γ-convergence analysis taking into account the Cosserat vector field.
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Bouchitté, G., Fonseca, I. & Mascarenhas, M.L. Bending Moment in Membrane Theory. Journal of Elasticity 73, 75–99 (2003). https://doi.org/10.1023/B:ELAS.0000029996.20973.92
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DOI: https://doi.org/10.1023/B:ELAS.0000029996.20973.92