1. Reference problem#

1.1. Geometry#

_images/10000000000003D3000002BDAEB8B49ABA737EEC.jpg

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 \(1\mathrm{mm}\).