5. C modeling: non-meshed crack in 3D

In this modeling, we consider the structure in \(\mathrm{3D}\). The extended finite element method (\(\text{X-FEM}\)) 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_F [U4.44.02].

5.1. Characteristics of modeling

We use the 3D modeling of the THERMIQUE phenomenon.

5.2. Characteristics of the mesh

The structure is modelled by a regular mesh composed of \(11\mathrm{\times }11\mathrm{\times }1\) HEXA8, respectively along the axes \(x\), \(y\) and \(z\). The crack is not meshed.

5.3. 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	0.1%
Point \({P}^{\text{-}}\) - \(\mathit{TEMP}\)	“AUTRE_ASTER”	23,393394671258	0.1%
Point \(Q\) - \(\mathit{TEMP}\)	“AUTRE_ASTER”	26,25259365185	0.5%

Paper v4.23: Transient thermics of plane systems