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A concise derivation of membrane theory from three-dimensional nonlinear elasticity

Abstract : Membrane theory may be regarded as a special case of the Cosserat theory of elastic surfaces, or, alternatively, derived from three-dimensional elasticity theory via asymptotic or variational methods. Here we obtain membrane theory directly from the local equations and boundary conditions of the three-dimensional theory
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  • HAL Id : hal-00773265, version 1
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David Steigmann. A concise derivation of membrane theory from three-dimensional nonlinear elasticity. Journal of Elasticity, Springer Verlag, 2009, 97 (1), pp.97-101. ⟨hal-00773265⟩

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