Localisation of deformation as a local quasi-static / dynamic transition

Downloads

Authors

  • J.L. Hanus Laboratoire de Mécanique et Physique des Matériaux, CNRS-ENSMA, France
  • V. Keryvin Laboratoire de Mécanique et Physique des Matériaux, ENSMA and Laboratoire de Mécanique et d 'Acoustique, CNRS-ESM2, France
  • T. Désoyer Laboratoire de Mécanique et d 'Acoustique, CNRS-ESM2, France

Abstract

The problem of the modelling of the strain localisation in elasto-visco-nonlinear materials and structures submitted to so-called "quasistatic" loadings is here considered. Unlike the usual approaches, which suppose that the localisation band remains in (quasi)static equilibrium, it is here assumed that localisation is essentially a dynamic phenomenon, even if the external loadings are "quasistatic". This means that the localisation criterion proposed is also a "local loss of (quasi)staticity" criterion. As soon as the criterion is verified, the dynamic problem is treated (at least locally) instead of the (quasi)static one.