Journal
ACTA GEOTECHNICA
Volume 13, Issue 6, Pages 1249-1264Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s11440-018-0734-6
Keywords
Extended finite element method; Saturated porous media; Second-order work; Strain localization; Strong discontinuity
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Funding
- Technische Universitat Munchen-Institute for Advanced Study - German Excellence Initiative
- European Union Seventh Framework Program [291763]
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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.
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