3. Modeling A#
3.1. Characteristics of modeling#
Method SIMPLEXE is used by PROPA_FISS to solve the crack propagation equations.
3.2. Characteristics of the mesh#
The structure is modelled by a mesh composed of 2500 elements QUAD4 (see).
The crack is not meshed. It is modelled by the \(\text{XFEM}\) method and initially defined by two level-sets:
\(\mathit{LST}=y-{a}_{0}\)
\(\mathit{LSN}=x-D\)
Figure 3.2-a : structure mesh
3.3. Tested sizes and results#
We test the values of \({K}_{I}\) at each propagation step.
Size |
Propagation |
Reference Type |
Reference Value ( \(\mathit{Pa}\sqrt{\mathit{mm}}\) ) |
Tolerance |
|
(%) » |
|||||
\({K}_{I}\) |
1 |
“ANALYTIQUE” |
“” |
32030644,1127 |
5.0 |
\({K}_{I}\) |
2 |
“ANALYTIQUE” |
“” |
52126639,0648 |
5.0 |
\({K}_{I}\) |
3 |
“ANALYTIQUE” |
“” |
78186891,9838 |
5.0 |
The mechanical residual error indicator “ERME_ELEM” is also tested on the last propagation step (in non-regression only) in order to validate the use of this indicator on 2D models with rotations.