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

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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.

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Acknowledgements

Ehsan Mikaeili acknowledges the Sharif University of Technology, department of civil engineering for the general assistance and consultation. B. A. Schrefler acknowledges the support of the Technische Universität München—Institute for Advanced Study, funded by the German Excellence Initiative and the European Union Seventh Framework Program under Grant Agreement No 291763.

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Authors and Affiliations

  1. Department of Civil Engineering, Sharif University of Technology, Tehran, Iran

    Ehsan Mikaeili

  2. Institute of Advanced Study, Technical University of Munich, Munich, Germany

    Bernhard Schrefler

  3. Department of Civil, Environmental and Architectural Engineering, University of Padua, Padua, Italy

    Bernhard Schrefler

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  1. Ehsan Mikaeili
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  2. Bernhard Schrefler
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Correspondence to Bernhard Schrefler.

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Mikaeili, E., Schrefler, B. XFEM, strong discontinuities and second-order work in shear band modeling of saturated porous media. Acta Geotech. 13, 1249–1264 (2018). https://doi.org/10.1007/s11440-018-0734-6

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