1. Reference problem#
1.1. Geometry#

Figure 1.1-a : Geometry of the cracked plate
Geometric dimensions of the cracked plate:
Side square |
\(D=10m\) |
Initial crack length: \({a}_{0}=2m\).
The crack opens in the middle of one side (\(L/2\)).
1.2. Material properties#
Young’s module \(E=206000\mathrm{MPa}\)
Poisson’s Ratio \(\nu =0.33\)
Density \(\rho =7800\mathrm{kg}/\mathrm{m³}\)
1.3. Boundary conditions and loads#
In order to block the movement of the rigid body of the plate, the axis of rotation is blocked at \(\mathrm{DX}\), \(\mathrm{DY}\) and \(\text{P\_SUP}\) is blocked at \(\mathrm{DX}\).
The load is only volume and induced by rotation, with pulsation \(\omega =10\), with an axis normal to the plane of the structure and with a center \((5;5)\).
Three propagations are calculated by imposing a maximum crack advance equal to \(1\mathrm{mm}\).