Bifurcation criteria for strain localization in multiphysical systems

Book Section

The study of bifurcation criteria for non-isothermal processes in geomaterials requires approaches that deviate from the classical material bifurcation approach. Indeed, in a quasi-static stress state of the medium, the admissible equilibria are of steady-creep-type and are governed also by the energy balance. Furthermore the steady-state temperature profiles are far from homogeneous as shown by [3], leading the analytical stability analysis to be rather complex. In this contribution, we adopt an overstress plasticity approach and present approximations for the criteria of the onset of localisation of deformation in a plane strain setting, using numerical continuation methods.

Full Text

Duke Authors

Cited Authors

  • Veveakis, M; Poulet, T; Alevizos, S; Paesold, M

Published Date

  • January 1, 2017

Volume / Issue

  • 0 /

Start / End Page

  • 201 - 206

International Standard Book Number 13 (ISBN-13)

  • 9789811075599

Digital Object Identifier (DOI)

  • 10.1007/978-3-319-56397-8_26

Citation Source

  • Scopus