F modeling
==============


Characteristics of modeling
-----------------------------------

Simulation at the hardware point. The objective is to validate the compatibility of CALC_ESSAI_GEOMECA with the MohrCoulombas law. To do this, a monotonous drained triaxial test with imposed displacement ESSAI_TRIA_DR_M_D is carried out. The number of time steps is 200; the confinement pressure is :math:`{\mathrm{\sigma }}_{0}=50\mathit{kPa}`; the maximum axial deformation is equal to :math:`{\mathrm{ϵ}}_{\mathit{zz}}^{\mathit{max}}=\mathrm{0,03}\text{\%}`. The convergence criterion is 10-10.

The material parameters are "identical" to those of modeling B:


* YoungModulus: :math:`E=619.3\mathit{MPa}`


* Fish Ratio: :math:`\mathrm{\nu }=0.3`


* Cohesion: :math:`C=1\mathit{kPa}`


* FrictionAngle: :math:`\mathrm{\varphi }=33°`


* DilatancyAngle: :math:`\mathrm{\psi }=27°`


* TransitionAngle: :math:`{\mathrm{\theta }}_{T}=29.999°`


* Cutoff tension: :math:`a=0.01C/\mathrm{tan}(\mathrm{\varphi })`


* HardeningCoef: :math:`{h}_{C}=0`

The values of :math:`{\mathrm{\theta }}_{T}` and :math:`a` are chosen so as to approximate the results obtained in modeling B (law MOHR_COULOMB).


Tested sizes and results
------------------------------

Two non-regression tests are carried out at the end of the test on components SIG_LAT (lateral stress, SIXX or SIYY) and SIG_AXI (axial stress, SIZZ) components. The axial stress obtained at the end of the test ("unknown" of the problem, since the displacement is imposed; therefore resulting from the law of behavior) is also compared to that obtained in modeling B (MOHR_COULOMB) and to the analytical solution presented in V6.04.232.


.. csv-table::

    ":math:`t=30\mathit{sec}` "," MOHR_COULOMB ", "MohrCoulombas", "Analytical Solution"
    "SIG_AXI (:math:`{\mathrm{\sigma }}_{\mathit{zz}}`, kPa)", "173.2895416041", "173.2874344989", "173.2895416041"
    "SIG_LAT (:math:`{\mathrm{\sigma }}_{\mathit{xx}}={\mathrm{\sigma }}_{\mathit{yy}}`, kPa)", "50", "50", "50"


Table 11.2-1: Validation of results for F modeling