Skip to Main content Skip to Navigation
Journal articles

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.
Document type :
Journal articles
Complete list of metadata

https://hal-mines-paristech.archives-ouvertes.fr/hal-00830357
Contributor : Bibliothèque Umr7633 <>
Submitted on : Thursday, August 2, 2018 - 2:48:03 PM
Last modification on : Thursday, September 24, 2020 - 6:30:04 PM

Links full text

Identifiers

Citation

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⟩

Share

Metrics

Record views

278