1. Reference problem#

1.1. Geometry#

_images/10000201000003AE0000054EEC0940F4241A08AB.png

Figure 1.1-a : geometry of the cracked plate

Geometric dimensions of the cracked plate:

width

\(L=1000\mathrm{mm}\)

height

\(H=2000\mathrm{mm}\)

Initial crack length: \({a}_{0}=300\mathrm{mm}\).

The cracks are positioned in the middle of the height of the plate (\(H/2\)).

1.2. Material properties#

Young’s module \(E=206000\mathrm{MPa}\)

Poisson’s Ratio \(\nu =0.33\)

1.3. Boundary conditions and loads#

_images/1000020100000366000005D0C35114DB74F36B79.png

Figure 1.3-a : boundary conditions and loads

Boundary conditions:

Point \(A\): \(\Delta X\mathrm{=}\Delta Y\mathrm{=}0\)

Points on the lower end of the plate: \(\Delta Y\mathrm{=}0\)

Loading:

Pressure applied to the upper end of the plate: \(P\mathrm{=}1\mathit{MPa}\)

Three propagations are calculated by imposing a maximum crack advance equal to \(30\mathit{mm}\). As a result of the symmetry of the geometry, the boundary conditions and the loading, the advances of the two cracks are always equal to the maximum advance imposed.