.. _R7.01.43:

**r7.01.43** Elastoplastic law with smoothed Mohr-Coulomb criterion
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**Summary:**

This document presents the method for resolving the elastoplastic law not associated with a smoothed Mohr-Coulomb load surface dedicated particularly to granular geo-materials, accessible via the *MFront* environment. The original Mohr-Coulomb criterion is a pyramid: the edges and the vertex constitute difficulties for the resolution algorithm, cf. [:external:ref:`R7.01.28 <R7.01.28>`]. Here we adopt the invariant formulation and the smoothing (regularization) solution proposed by Abbo and Sloan in [:ref:`2 <RefNumPara__2695_13786251>`], with an implicit integration method direct in time. It is implemented in the *MFront* environment, cf. [:ref:`4 <RefNumPara__2697_13786251>`], using the algorithm developed by [:ref:`3 <RefNumPara__3117_13786251>`] within the community
`http://www.opengeosys.org`_ < http://www.opengeosys.org/>
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.. toctree::
    :hidden:

    self

.. toctree::
    :maxdepth: 2
    :numbered:

    Introduction
    Formulation_th_orique
    Int_gration_num_rique_de_la_loi_de_comportement
    Variables_internes_de_la_loi_de_comportement
    V_rification_et_validationde_la_loi_de_comportement
    Bibliographie