1. Reference problem#

1.1. Geometry#

_images/10000000000001980000024F039F309296A63C31.jpg

Figure 1.1-a : geometry of the cracked plate

Geometric dimensions of the cracked plate:

width

\(L=8m\)

thickness

\(E=1m\)

height

\(H=18m\)

The crack is horizontal, with the front initially positioned at \((x,\mathrm{2,}9)\).

1.2. Material properties#

Young’s module \(E=205000\mathrm{MPa}\)

Poisson’s ratio \(\nu =0.3\)

1.3. Boundary conditions and loads#

Boundary conditions:

  • Point \(P\): \(\Delta X=\Delta Y=\Delta Z=0\)

  • Points on segment \(\mathrm{AB}\): \(\Delta X=\Delta Z=0\)

  • Points on the surface \(\text{INF}\): \(\Delta Z=0\)

Charging:

  • Surface pressure \(\text{SUP}\): \(P=-1\mathrm{MPa}\)