3. Modeling A#
3.1. Characteristics of modeling#
The model consists of quadrangles with 8 knots and triangles with 6 knots.
It has 4877 knots and 1598 elements.
3.2. Characteristics of the mesh#
Using procedure FISS2D_V1.
The topological parameters concerning the refinement around the crack bottom are:
\(\mathrm{nc}=4\) (number of crowns)
\(\mathrm{ns}=8\) (number of sectors)
\(\mathrm{nbcour}=1\) (number of deraffination rings)
Zoom in on the cracked area
Zoom the cracked area with « contact block »
3.3. Tested sizes and results#
Identification |
Reference |
Reference type |
Tolerance |
\({K}_{I}\), loading no. 1, crown 0, contact overlooked |
1,1482 |
“SOURCE_EXTERNE” |
2,0% |
\({K}_{I}\), loading no. 1, crown 1, contact overlooked |
1,1482 |
“SOURCE_EXTERNE” |
2,0% |
\({K}_{I}\), loading no. 1, crown 2, overlooked contact |
1,1482 |
“SOURCE_EXTERNE” |
2,0% |
\({K}_{I}\), loading no. 1, crown 3, overlooked contact |
1,1482 |
“SOURCE_EXTERNE” |
2,0% |
Identification |
Reference |
Reference type |
Tolerance |
\({K}_{I}\), load #2, crown 0, contact overlooked |
0.41237 |
“SOURCE_EXTERNE” |
7.0% |
\({K}_{I}\), load #2, crown 1, contact overlooked |
0.41237 |
“SOURCE_EXTERNE” |
7.0% |
\({K}_{I}\), load #2, crown 2, contact overlooked |
0.41237 |
“SOURCE_EXTERNE” |
7.0% |
\({K}_{I}\), load #2, crown 3, contact overlooked |
0.41237 |
“SOURCE_EXTERNE” |
7.0% |
Identification |
Reference |
Reference type |
Tolerance |
KI, load #3, contact, = 0.33, ring 1 |
1.2075E-3 |
“SOURCE_EXTERNE” |
2.0% |
KI, load #3, contact, = 0.335, ring 1 |
3.0187E-3 |
“SOURCE_EXTERNE” |
2.0% |
KI, load #3, contact, = 0.34, ring 1 |
5.4336E-3 |
“SOURCE_EXTERNE” |
1.0% |
KI, load #3, contact, = 0.345, ring 1 |
8.5865E-3 |
“SOURCE_EXTERNE” |
4.0% |
KI, load #3, contact, = 0.35, ring 1 |
1.2075E-2 |
“SOURCE_EXTERNE” |
4.0% |
KI, load #3, contact, = 0.36, crown 1 |
2.1757E-2 |
“SOURCE_EXTERNE” |
1.0% |
KI, load #3, contact, = 0.40, ring 1 |
6.6478E-2 |
“SOURCE_EXTERNE” |
1.0% |
Identification |
Reference |
Reference type |
Tolerance |
KI, load #3, contact, = 0.33, ring 2 |
1.2075E-3 |
“SOURCE_EXTERNE” |
4.5% |
KI, load #3, contact, = 0.335, ring 2 |
3.0187E-3 |
“SOURCE_EXTERNE” |
2.0% |
KI, load #3, contact, = 0.34, ring 2 |
5.4336E-3 |
“SOURCE_EXTERNE” |
1.0% |
KI, load #3, contact, = 0.345, ring 2 |
8.5865E-3 |
“SOURCE_EXTERNE” |
4.0% |
KI, load #3, contact, = 0.35, ring 2 |
1.2075E-2 |
“SOURCE_EXTERNE” |
4.0% |
KI, load #3, contact, = 0.36, crown 2 |
2.1757E-2 |
“SOURCE_EXTERNE” |
1.0% |
KI, load #3, contact, = 0.40, ring 2 |
6.6478E-2 |
“SOURCE_EXTERNE” |
1.0% |
Identification |
Reference |
Reference type |
Tolerance |
\({K}_{I}\), load #3, contact, \(\alpha =\mathrm{0,335}\), crown 3 |
3.0187E-3 |
“SOURCE_EXTERNE” |
3.0% |
\({K}_{I}\), load #3, contact, \(\alpha =\mathrm{0,34}\), crown 3 |
5,4336E-3 |
“SOURCE_EXTERNE” |
1,0% |
\({K}_{I}\), load #3, contact, \(\alpha =\mathrm{0,345}\), crown 3 |
8,5865E-3 |
“SOURCE_EXTERNE” |
4,0% |
\({K}_{I}\), load #3, contact, \(\alpha =\mathrm{0,35}\), crown 3 |
1,2075E-3 |
“SOURCE_EXTERNE” |
4,0% |
\({K}_{I}\), load #3, contact, \(\alpha =\mathrm{0,36}\), crown 3 |
2,1757E-2 |
“SOURCE_EXTERNE” |
1,0% |
\({K}_{I}\), load #3, contact, \(\alpha =\mathrm{0,40}\), crown 3 |
6,6478E-2 |
“SOURCE_EXTERNE” |
1,0% |
3.4. notes#
The tables below give the \(G\) energy release rate for two values of the \(\alpha\) coefficient which correspond to the non-detachment of the lip from the crack. (There is a lip detachment for \(\alpha >\mathrm{0,32}\)).
Identification |
Reference |
G **** ASTER ** |
\(G\), load #3, contact, \(\alpha =\mathrm{0,30}\), ring 0 |
0 |
8,7941 1016 |
\(G\), load #3, contact, \(\alpha =\mathrm{0,30}\),, crown 1 |
0 |
4.4308 1015 |
\(G\), load #3, contact, \(\alpha =\mathrm{0,30}\),, crown 2 |
0 |
3,3312 1015 |
\(G\), load #3, contact, \(\alpha =\mathrm{0,30}\),, crown 3 |
0 |
4.4794 1013 |
Identification |
Reference |
G **** ASTER ** |
\(G\), load #3, contact, \(\alpha =\mathrm{0,32}\), ring 0 |
0 |
1.17E-14 |
\(G\), load #3, contact, \(\alpha =\mathrm{0,32}\),, crown 1 |
0 |
3,26E-16 |
\(G\), load #3, contact, \(\alpha =\mathrm{0,32}\),, crown 2 |
0 |
1.02E-15 |
\(G\), load #3, contact, \(\alpha =\mathrm{0,32}\),, crown 3 |
0 |
4,23E-13 |