Relation théorique entre la méthode de perturbation linéaire et l'analyse de bifurcation pour la prédiction de la localisation des déformations

Abstract

The uniqueness of mechanical response can be lost for a material with softening. For a non-viscous material, two methods are widely used to predict this phenomenon: the linear perturbation method and the bifurcation analysis. In this paper we prove that the latter method should be considered as a limit case of the former one, as already observed in some particular cases.