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A new invariant-based method for building biomechanical behavior laws - Application to an anisotropic hyperelastic material with two fiber families

Abstract : In this article, we present a general constructive and original approach that allows us to calculate the invariants associated with an anisotropic hyperelastic material made of two families of collagen fibers. This approach is based on mathematical techniques from the theory of invariants: Definition of the material symmetry group. Analytical calculation of a set of generators using the Noether's theorem. Analytical calculation of an integrity basis. Comparison between the proposed invariants and the classical ones.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-00830357
Contributeur : Bibliothèque Umr7633 <>
Soumis le : jeudi 2 août 2018 - 14:48:03
Dernière modification le : jeudi 24 septembre 2020 - 18:30:04

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Anh-Tuan Ta, Nadia Labed, Frédéric Holweck, Alain Thionnet, François Peyraut. A new invariant-based method for building biomechanical behavior laws - Application to an anisotropic hyperelastic material with two fiber families. International Journal of Solids and Structures, Elsevier, 2013, 50 (14-15), pp.2251-2258. ⟨10.1016/j.ijsolstr.2013.03.033⟩. ⟨hal-00830357⟩

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