A constructive approach of invariants of behavior laws with respect to an infinite symmetry group – Application to a biological anisotropic hyperelastic material with one fiber family

A constructive approach of invariants of behavior laws with respect to an infinite symmetry group – Application to a biological anisotropic hyperelastic material with one fiber family

In this paper, six new invariants associated with an anisotropic material made of one fiber family are calculated by presenting a systematic constructive and original approach. This approach is based on the development of mathematical techniques from the theory of invariants:•Definition of the mater...

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Veröffentlicht in:International journal of solids and structures 2014-10, Vol.51 (21-22), p.3579-3588
Hauptverfasser: Ta, Anh-Tuan, Holweck, Frédéric, Labed, Nadia, Thionnet, Alain, Peyraut, François
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Sprache:eng
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Anisotropic hyperelastic material
Biomechanics
Condensed Matter
Materials Science
Physics
Theory of invariants
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container_issue 21-22
container_start_page 3579
container_title International journal of solids and structures
container_volume 51
creator Ta, Anh-Tuan
Holweck, Frédéric
Labed, Nadia
Thionnet, Alain
Peyraut, François
description In this paper, six new invariants associated with an anisotropic material made of one fiber family are calculated by presenting a systematic constructive and original approach. This approach is based on the development of mathematical techniques from the theory of invariants:•Definition of the material symmetry group.•Definition of the generalized Reynolds Operator.•Calculation of an integrity basis for invariant polynomials.•Comparison between the new (constructed) invariants and the classical ones.
doi_str_mv 10.1016/j.ijsolstr.2014.06.019
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subjects Anisotropic hyperelastic material
Biomechanics
Condensed Matter
Materials Science
Physics
Theory of invariants
title A constructive approach of invariants of behavior laws with respect to an infinite symmetry group – Application to a biological anisotropic hyperelastic material with one fiber family
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