Symmetry groups in nonlinear elasticity: An exercise in vintage mathematics

Abstract : 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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Communications on Pure and Applied Mathematics, Wiley, 2009, 8 (1), pp.435-456. <10.3934/cpaa.2009.8.435>
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Dernière modification le : mardi 11 octobre 2016 - 13:29:15
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Annie Raoult. Symmetry groups in nonlinear elasticity: An exercise in vintage mathematics. Communications on Pure and Applied Mathematics, Wiley, 2009, 8 (1), pp.435-456. <10.3934/cpaa.2009.8.435>. <hal-00275450>

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