One-dimensional nonlinear elastodynamic models and their local conservation laws with applications to biological membranes

Abstract : The framework of incompressible nonlinear hyperelasticity and viscoelasticity is applied to the derivation of one-dimensional models of nonlinear wave propagation in fiber-reinforced elastic solids. Equivalence transformations are used to simplify the resulting wave equations and to reduce the number of parameters. Local conservation laws and global conserved quantities of the models are systematically computed and discussed, along with other related mathematical properties. Sample numerical solutions are presented. The models considered in the paper are appropriate for the mathematical description of certain aspects of the behavior of biological membranes and similar structures.
Type de document :
Article dans une revue
Journal of mechanical behavior of biomedical materials, Elsevier, 2015, 58, pp.105 - 121. 〈10.1016/j.jmbbm.2015.08.027〉
Liste complète des métadonnées

https://hal.univ-lorraine.fr/hal-01432022
Contributeur : Lemta Ul <>
Soumis le : mercredi 11 janvier 2017 - 14:23:50
Dernière modification le : jeudi 15 mars 2018 - 17:16:06

Identifiants

Collections

Citation

A.F. Cheviakov, Jean-François Ganghoffer. One-dimensional nonlinear elastodynamic models and their local conservation laws with applications to biological membranes. Journal of mechanical behavior of biomedical materials, Elsevier, 2015, 58, pp.105 - 121. 〈10.1016/j.jmbbm.2015.08.027〉. 〈hal-01432022〉

Partager

Métriques

Consultations de la notice

35