5. C modeling#
5.1. Characteristics of modeling#
In this modeling, the upwind fast marching UPWIND method is tested for crack propagation.
Level-sets are determined by solving the updating equations by schema with finite differences.
5.2. Characteristics of modeling#
The same mesh as in modeling A (§2.1) is used here.
5.3. Tested sizes and results#
For each propagation step, we test the value of the stress intensity factors \({K}_{I}\) and \({K}_{\mathit{II}}\) given by CALC_G.
5.3.1. Results on KI:#
Identification |
Code_Aster |
Reference |
difference |
|
CALC_G |
||||
KI_1 |
4.174911 106 |
4.205998 106 |
4.174911 106 |
0.739% |
KI_2 |
4.602545 106 |
4.632857 106 |
4.602545 106 |
0.654% |
KI_3 |
5.067525 106 |
5.094923 106 |
5.067525 106 |
0.538% |
KI_4 |
5.575881 106 |
5.599079 106 |
5.575881 106 |
0.414% |
KI_5 |
6.134452 106 |
6.153487 106 |
6.153487 106 |
0.309% |
KI_6 |
6.751139 106 |
6.767759 106 |
0.24% |
|
KI_7 |
7.435204 106 |
7.453097 106 |
7.435204 106 |
0.24% |
KI_8 |
8.197634 106 |
8.222429 106 |
8.197634 106 |
0.302% |
KI_9 |
9.051616 106 |
9.090524 106 |
9.051616 106 |
0.428% |
KI_10 |
1.0013134 107 |
1.0074102 107 |
1.0013134 107 |
0.605% |
KI_11 |
1.1101774 107 |
1.1191940 107 |
1.1101774 107 |
0.805% |
KI_12 |
1.2341792 107 |
1.2464967 107 |
1.2341792 107 |
0.99% |
KI_13 |
1.3763566 107 |
1.3916354 107 |
1.3763566 107 |
1.098% |
KI_14 |
1.5405615 107 |
1.5571606 107 |
1.5571606 107 |
1.065% |
KI_15 |
1.7317423 107 |
1.7317423 107 |
1.7317423 107 |
0.809% |
5.3.2. Results on KII:#
Identification |
Code_Aster |
Reference |
CALC_G |
||
KII_1 |
-294.54 |
0 |
KII_2 |
-310.00 |
0 |
KII_3 |
-330.90 |
0 |
KII_4 |
-357.05 |
0 |
KII_5 |
-389.44 |
0 |
KII_6 |
-428.98 |
0 |
KII_7 |
-476.90 |
0 |
KII_8 |
-534.75 |
0 |
KII_9 |
-604.47 |
0 |
KII_10 |
-68,57 |
0 |
KII_11 |
-790,30 |
0 |
KII_12 |
-913.84 |
0 |
KII_13 |
-1064.72 |
0 |
KII_14 |
-1250.30 |
0 |
KII_15 |
-1480.53 |
0 |