4. B modeling#
4.1. Characteristics of modeling#
In this modeling, the simplex method is tested for crack propagation.
Level-sets are determined by solving the updating equations.
4.2. Characteristics of the mesh#
The same mesh as in modeling A. is used here.
4.3. Tested sizes and results#
For each propagation step, we test the value of the stress intensity factors \({K}_{I}\) and \({K}_{\mathrm{II}}\) given by CALC_G.
4.3.1. Results on \({K}_{I}\):#
Identification |
Code_Aster |
Reference |
difference |
|
CALC_G |
||||
KI_1 |
4.1749 106 |
4.205998 106 |
4.205998 106 |
0.73% |
KI_2 |
4.6025 106 |
4.63286 106 |
4.6025 106 |
0.65% |
KI_3 |
5.0675 106 |
5.09492 106 |
5.0675 106 |
0.54% |
KI_4 |
5.5758 106 |
5.59908 106 |
0.41% |
|
KI_5 |
6.1344 106 |
6.15349 106 |
6.1344 106 |
0.31% |
KI_6 |
6.7511 106 |
6.76776 106 |
0.24% |
|
KI_7 |
7.4352 106 |
7.4531 106 |
7.4352 106 |
0.24% |
KI_8 |
8,1976 106 |
8,2224 106 |
0,30% |
|
KI_9 |
9.0516 106 |
9.0905 106 |
0.42% |
|
KI_10 |
1.0013 106 |
1.0074 107 |
0.60% |
|
KI_11 |
1.1101 106 |
1.192.106 |
1.192.107 |
0.80% |
KI_12 |
1.2341 106 |
1.2465 107 |
0.98% |
|
KI_13 |
1.37608 106 |
1.3916 106 |
1.3916 107 |
1.09% |
KI_14 |
1.5405 106 |
1.55716 107 |
1.06% |
|
KI_15 |
1.7317 106 |
1.74586 107 |
0.80% |
4.3.2. Results on \({K}_{\mathrm{II}}\):#
Identification |
Code_Aster |
Reference |
CALC_G |
||
KII_1 |
-294.543283239 |
0 |
KII_2 |
140.53299141 |
0 |
KII_3 |
-92.1854404834 |
0 |
KII_4 |
31.5966858116 |
0 |
KII_5 |
-22.0812184567 |
0 |
KII_6 |
1.80888843609 |
0 |
KII_7 |
-14.6528361549 |
0 |
KII_8 |
-12.9336699382 |
0 |
KII_9 |
-21.8747247036 |
0 |
KII_10 |
-27.5009059699 |
0 |
KII_11 |
-36.8193114189 |
0 |
KII_12 |
-47.1435134216 |
0 |
KII_13 |
-60.5512354886 |
0 |
KII_14 |
-77.2532857738 |
0 |
KII_15 |
-98.7961435219 |
0 |