1. Reference problem#
1.1. Geometry#

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: \({\mathrm{2a}}_{0}=300\mathrm{mm}\).
The crack is 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#

Figure 1.3-a : boundary conditions and loads
Boundary conditions:
Point \(A\): \(\Delta X=\Delta Y=0\)
Lower end of plate points: \(\Delta Y=0\)
Loading:
Pressure applied to the upper end of the plate: \(P=1\mathrm{MPa}\)
Three propagations are calculated by imposing a crack advance equal to \(30\mathrm{mm}\) at each crack bottom. As a result of the symmetry of the geometry, the boundary conditions and the loading, the advances of the two bottoms of the crack are always equal to the imposed advance.