1. Reference problem

1.1. Geometry

It is an elliptical crack immersed in a medium that is supposed to be infinite. We only model one eighth of a parallelepiped:

1.2. Material properties

\(E=210\mathrm{000.MPa}\)

\(\nu \mathrm{=}0.3\)

1.3. Boundary conditions and loads

Symmetry with respect to the 3 main planes:

\({U}_{x}=0.\) in the \(X=0\) plan.

\({U}_{Y}=0.\) in the \(Y=0\) plan.

\({U}_{Z}=0.\) in the \(Z=0.\) plane out of the crack

The loading conditions are either:

\(P=1\mathrm{MPa}\) in plane \(Z=1250\mathrm{mm}\) (modeling \(A\))

either:

\(\mathrm{FZ}={8.10}^{-4}N/{\mathrm{mm}}^{3}\) on all volume elements (loading equivalent to the previous one) (models \(F\) and \(G\)).