4. Modeling B: non-meshed crack in dimension 2#
In this modeling, we consider the structure in \(\mathrm{2D}\). The extended finite element method (X- FEM) is used. Since the crack is not meshed, the exchange condition between the lips of the crack is applied using the keyword FISSURE of the keyword factor ECHANGE_PAROI of the operator AFFE_CHAR_THER [U4.44.02].
4.1. Characteristics of modeling#
We use the PLAN model of the THERMIQUE phenomenon.
4.2. Characteristics of the mesh#
The structure is modelled by a regular mesh composed of \(101\mathrm{\times }101\) QUAD4, respectively along the axes \(x\), \(y\). The crack is not meshed.
4.3. Tested sizes and results#
The temperature is tested at the end of the last time step (\(t=1\text{.}s\)) at points \({P}^{\text{+}}\), \({P}^{\text{-}}\) and \(Q\) (see Figure). To do this, the temperature field is tested after using operators POST_MAIL_XFEM and POST_CHAM_XFEM.
Identification |
Reference type |
Reference value |
Tolerance |
Point \({P}^{\text{+}}\) - \(\mathit{TEMP}\) |
“AUTRE_ASTER” |
29,156091860463 |
|
Point \({P}^{\text{-}}\) - \(\mathit{TEMP}\) |
“AUTRE_ASTER” |
23,393394671258 |
|
Point \(Q\) - \(\mathit{TEMP}\) |
“AUTRE_ASTER” |
26,25259365185 |
|