6. D modeling#
6.1. Modelling characteristics and tested values#
The problem solved in this case is the same as for modeling A. It makes it possible to test the possibility of taking into account the spatial dependence of mechanical properties with Hujeux’s law.
6.2. Tested sizes and results#
The solutions are calculated at point \(C\) and compared to references GEFDYN. They are given in terms of plastic volume deformation
and monotonic isotropic work hardening coefficients
and cyclical
, and summarized in the following tables:
(kPa) |
Reference type |
Reference value |
Tolerance (%) |
-200 |
SOURCE_EXTERNE |
-6.78E-3 |
1.0 |
-300 |
SOURCE_EXTERNE |
-1.28E-2 |
1.0 |
-200 |
SOURCE_EXTERNE |
-7.49E-3 |
1.0 |
-100 |
SOURCE_EXTERNE |
-9.15E-4 |
4.0 |
-220 |
SOURCE_EXTERNE |
-8.29E-3 |
1.0 |
-340 |
SOURCE_EXTERNE |
-1.50E-2 |
1.0 |
(kPa) |
Reference type |
Reference value |
Tolerance (%) |
-200 |
SOURCE_EXTERNE |
6.8E-2 |
1.0 |
-300 |
SOURCE_EXTERNE |
8.83E-2 |
1.0 |
-200 |
SOURCE_EXTERNE |
8.83E-2 |
1.0 |
-100 |
SOURCE_EXTERNE |
8.83E-2 |
1.0 |
-220 |
SOURCE_EXTERNE |
8.83E-2 |
1.0 |
-340 |
SOURCE_EXTERNE |
9.48E-2 |
1.0 |
(kPa) |
Reference type |
Reference value |
Tolerance (%) |
-200 |
SOURCE_EXTERNE |
1.E-3 |
1.0 |
-300 |
SOURCE_EXTERNE |
1.E-3 |
1.0 |
-200 |
SOURCE_EXTERNE |
2.14E-2 |
1.0 |
-100 |
SOURCE_EXTERNE |
4.91E-2 |
1.0 |
-220 |
SOURCE_EXTERNE |
3.29E-2 |
1.0 |
-340 |
SOURCE_EXTERNE |
4.91E-2 |
1.0 |
6.3. notes#
The difference between the two codes is very small for all the values tested and makes it possible to validate the consideration of control variables to represent a spatial dependence of the elasticity parameters in Hujeux’s law.