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Article Dans Une Revue Communications on Pure and Applied Mathematics Année : 2009

Symmetry groups in nonlinear elasticity: An exercise in vintage mathematics

Annie Raoult
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Résumé

This manuscript aims at characterizing energy densities and constitutive laws of transversely isotropic materials, orthotropic elastic materials and materials with non orthogonal families of fibers. It makes explicit references to results that are scattered over the literature and, although said to be well-known, are not always easy to locate. Direct proofs that are thought to be new and simplified expressions of constitutive laws for materials with two preferred directions are given.
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Dates et versions

hal-00275450 , version 1 (23-04-2008)

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Annie Raoult. Symmetry groups in nonlinear elasticity: An exercise in vintage mathematics. Communications on Pure and Applied Mathematics, 2009, 8 (1), pp.435-456. ⟨10.3934/cpaa.2009.8.435⟩. ⟨hal-00275450⟩
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