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
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | 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 |
| Type de publication | Journal Article |
| Year of Publication | 2014 |
| Auteurs | Ta A-T, Holweck F, Labed N, Thionnet A, Peyraut F |
| Journal | INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES |
| Volume | 51 |
| Pagination | 3579-3588 |
| Date Published | OCT 15 |
| Type of Article | Article |
| ISSN | 0020-7683 |
| Mots-clés | Anisotropic hyperelastic material, Biomechanics, Theory of invariants |
| Résumé | 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. (C) 2014 Elsevier Ltd. All rights reserved. |
| DOI | 10.1016/j.ijsolstr.2014.06.019 |