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Article Dans Une Revue Journal of Elasticity Année : 2017

Polyconvexity and Existence Theorem for Nonlinearly Elastic Shells

Résumé

We present an existence theorem for a large class of nonlinearly elastic shells with low regularity in the framework of a two-dimensional theory involving the mean and Gaussian curvatures. We restrict our discussion to hyperelastic materials, that is to elastic materials possessing a stored energy function. Under some specific conditions of polyconvexity, coerciveness and growth of the stored energy function, we prove the existence of global minimizers. In addition, we define a general class of polyconvex stored energy functions which satisfies a coerciveness inequality.
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hal-04556969 , version 1 (23-04-2024)

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Sylvia Anicic. Polyconvexity and Existence Theorem for Nonlinearly Elastic Shells. Journal of Elasticity, 2017, 132 (1), pp.161-173. ⟨10.1007/s10659-017-9664-z⟩. ⟨hal-04556969⟩

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