1. Reference problem

1.1. Geometry

Figure 1.1 Problem geometry

The frame is composed of two materials, VMAT1 for the upper part and VMAT2 for the lower part.

The crack is modelled by its bottom (LFF) and one of its lips (LEVRE_INS). The second lip does not need to be modelled with the symmetries of the problem.

SAV_S corresponds to the lateral faces (negative y).

SINF corresponds to the back faces (negative z).

SSUPS corresponds to the front panels (positive z).

Only a quarter of the structure presented is modelled and then symmetry conditions are applied in order to respect the geometry of the initial problem.

1.2. Material properties

For material 1 (VMAT1):

Young’s module	\(E=\mathrm{1,98}\times {10}^{11}\mathit{Pa}\)
Poisson’s Ratio	\(\nu =0.1\)

For material 2 (VMAT2):

Young’s module	\(E=\mathrm{5,94}\times {10}^{11}\mathit{Pa}\)
Poisson’s Ratio	\(\nu =0.1\)

1.3. Boundary conditions and loads

Imposed displacement:

Embedding on the side SSUPS	\(\mathit{DZ}=0\)
Embedding on the side SAV_S	\(\mathit{DY}=0\)
Embedding the point PORIG	\(\mathit{DX}=0\)

Imposed loading:

Pressure imposed on the face LEVRE_INS

\(P=1\times {10}^{6}\mathit{Pa}\)

1.4. Crack size

\(a\): characteristic horizontal length of the elliptical crack.

\(b\): characteristic vertical length of the elliptical crack.

	\(a\)	\(b\)
Modeling A	\(2\)	\(2\)
B modeling	\(1\)	\(2\)