XFEM, strong discontinuities and second-order work in shear band modeling of saturated porous media

Ehsan Mikaeili, Bernhard Schrefler

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

We investigate shear band initiation and propagation in fully saturated porous media by means of a combination of strong discontinuities (discontinuities in the displacement field) and XFEM. As a constitutive behavior of the solid phase, a Drucker–Prager model is used within a framework of non-associated plasticity to account for dilation of the sample. Strong discontinuities circumvent the difficulties which appear when trying to model shear band formation in the context of classical nonlinear continuum mechanics and when trying to resolve them with classical numerical methods like the finite element method. XFEM, on the other hand, is well suited to deal with problems where a discontinuity propagates, without the need of remeshing. The numerical results are confirmed by the application of Hill’s second-order work criterion which allows to evaluate the material point instability not only locally but also for the whole domain.

Original languageEnglish (US)
Pages (from-to)1249-1264
Number of pages16
JournalActa Geotechnica
Volume13
Issue number6
DOIs
StatePublished - Dec 1 2018

Keywords

  • Extended finite element method
  • Saturated porous media
  • Second-order work
  • Strain localization
  • Strong discontinuity

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology
  • Earth and Planetary Sciences (miscellaneous)

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