Relaxation theorems in nonlinear elasticity

Omar Anza Hafsa; J.P. Mandallena

doi:10.1016/j.anihpc.2006.11.005

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Relaxation theorems in nonlinear elasticity

Journal article

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Peer reviewed

Relaxation theorems in nonlinear elasticity

Omar Anza Hafsa and J.P. Mandallena

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Vol.25, pp.135-148

2008

DOI: https://doi.org/10.1016/j.anihpc.2006.11.005

Abstract

Relaxation Nonlinear elasticity Determinant condition

Relaxation theorems which apply to one, two and three-dimensional nonlinear elasticity are proved. We take into account the fact an infinite amount of energy is required to compress a finite line, surface or volume into zero line, surface or volume. However, we do not prevent orientation reversal.

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Title: Relaxation theorems in nonlinear elasticity
Creators - without role: Omar Anza Hafsa - Université de Montpellier, Laboratoire de Mécanique et Génie Civil - LMGC
J.P. Mandallena - Université de Montpellier
Publication Details: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Vol.25, pp.135-148
Identifiers: 9934270909311
Academic Unit: Laboratoire de Mécanique et Génie Civil - LMGC
Language: English
Resource Type: Journal article
Local Fields: hal-00584068