4. C modeling#
4.1. Characteristics of modeling#
It is a nonlinear elasticity calculation under the hypothesis of small displacements, with the X- FEM method (non-meshed crack). The modeling is in plane constraints.
4.2. Characteristics of the mesh#
The mesh is composed of linear elements (560 meshes QUA4 - 600 knots). The refinement of the mesh is uniform (18 elements according to \(x\) and 31 elements according to \(y\)).
4.3. Tested sizes and results#
The \(\mathit{DY}\) component of the displacement is tested at the two points where the crack opens (points on each of the lips), at the last moment of the calculation (imposed displacement \(\mathrm{0,1}\mathit{mm}\)). This test is carried out on the displacement field created by the operator POST_CHAM_XFEM.
The reference value is the solution obtained in modeling A.
Lip considered |
Code_Aster (:math:`mathit{mm}`**) ** |
Difference (:math:`text{%}`**) ** |
|
Lip \(y>0\) |
9.876.10-2 |
9.516.10-2 |
-3.6% |
Lip \(y<0\) |
-9,876.10-2 |
-9,516.10-2 |
-3,6% |
This test validates the nonlinear elasticity calculation for X- FEM models.