JournalsaihpcVol. 25, No. 1pp. 135–148

Relaxation theorems in nonlinear elasticity

  • Omar Anza Hafsa

    LMGC (Laboratoire de Mécanique et Génie Civil), UMR-CNRS 5508, Université Montpellier II, Place Eugène Bataillon, 34090 Montpellier, France

  • Jean-Philippe Mandallena

    Equipe AVA (Analyse Variationnelle et Applications), Centre Universitaire de Formation et de Recherche de Nîmes, Site des Carmes, Place Gabriel Péri, Cedex 01, 30021 Nîmes, France; I3M (Institut de Mathématiques et Modélisation de Montpellier), UMR-CNRS 5149, Université Montpellier II, Place Eugène Bataillon, 34090 Montpellier, France
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Abstract

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.

Cite this article

Omar Anza Hafsa, Jean-Philippe Mandallena, Relaxation theorems in nonlinear elasticity. Ann. Inst. H. Poincaré Anal. Non Linéaire 25 (2008), no. 1, pp. 135–148

DOI 10.1016/J.ANIHPC.2006.11.005