1. 2D reference problem#
1.1. Geometry#
The structure is a healthy square plate with side \(L=10\text{m}\).
The interface is represented by a circular level set introduced into the command file using the DEFI_FISS_XFEM [U4.82.08] operator given in its analytical form: \({(x-5)}^{2}+{(y-\mathrm{11,77})}^{2}=\mathrm{64,27}\). It was chosen in such a way as to completely cross the structure but does not identify with an inclusion [V6.04.507].
The position of the reference points is:
\(x\) |
|
|
\(A\) |
0 |
5.5 |
\(B\) |
5 |
3.75 |
\(C\) |
10 |
5.5 |
1.2. Material properties#
Poisson’s ratio: \(0\)
Young’s module: \(1.{10}^{6}N/{m}^{2}\)
Coulomb coefficient: \(2.0\)
1.3. Boundary conditions and loads#
The lower face is blocked by an embedment and a \({u}_{y}=-{1.10}^{-6}m\) movement is imposed on the upper face.
Figure 1.3‑a: Structure geometry and interface positioning and loads