11. F modeling#
11.1. 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 \({\mathrm{\sigma }}_{0}=50\mathit{kPa}\); the maximum axial deformation is equal to \({\mathrm{ϵ}}_{\mathit{zz}}^{\mathit{max}}=\mathrm{0,03}\text{\%}\). The convergence criterion is 10-10.
The material parameters are « identical » to those of modeling B:
YoungModulus: \(E=619.3\mathit{MPa}\)
Fish Ratio: \(\mathrm{\nu }=0.3\)
Cohesion: \(C=1\mathit{kPa}\)
FrictionAngle: \(\mathrm{\varphi }=33°\)
DilatancyAngle: \(\mathrm{\psi }=27°\)
TransitionAngle: \({\mathrm{\theta }}_{T}=29.999°\)
Cutoff tension: \(a=0.01C/\mathrm{tan}(\mathrm{\varphi })\)
HardeningCoef: \({h}_{C}=0\)
The values of \({\mathrm{\theta }}_{T}\) and \(a\) are chosen so as to approximate the results obtained in modeling B (law MOHR_COULOMB).
11.2. 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.
\(t=30\mathit{sec}\) |
|
MohrCoulombas |
Analytical Solution |
SIG_AXI (\({\mathrm{\sigma }}_{\mathit{zz}}\), kPa) |
173.2895416041 |
173.2874344989 |
173.2895416041 |
SIG_LAT (\({\mathrm{\sigma }}_{\mathit{xx}}={\mathrm{\sigma }}_{\mathit{yy}}\), kPa) |
50 |
50 |
50 |
Table 11.2-1: Validation of results for F modeling