1. Reference problem#
1.1. Geometry#

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 initially oriented at \(45°\), with the front initially positioned at \((x,\mathrm{2,}9)\).
1.2. Material properties#
Young’s module \(E=205000\mathrm{MPa}\)
Poisson’s ratio \(\nu =0.3\)
For the case of models with cohesive elements, the material parameters are:
Critical constraint \({\sigma }_{c}=2\mathit{MPa}\)
Energy tenacity \({G}_{c}=17.75{\mathit{N.m}}^{-1}\)
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 \(\text{INF}\): \(\Delta Z\mathrm{=}0\)
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Surface pressure \(\text{SUP}\): \(P=-1\mathrm{MPa}\)