1. Reference problem#

1.1. Geometry#

Rectangular plate with breakthrough \(\mathrm{OC}\) crack.

_images/10000000000002E3000002A0B2622266A6ABF062.png

For reasons of symmetry, the model is reduced to semi-structure \(y\ge 0\).

Plate height: \(h=250\mathrm{mm}\)

Plate width: \(I=100\mathrm{mm}\)

Crack depth: \(a=37.5\mathrm{mm}\) (\(\mathrm{OC}\))

1.2. Material properties#

\(E\mathrm{=}200000\mathit{MPa}\) \(\nu =0.3\)

Hypothesis of plane constraints.

1.3. Boundary conditions and loads#

  • Constraint imposed in \(Y=h\):

\(\sigma \mathrm{=}1\mathit{MPa}\)

  • Move for edge \(\mathrm{CA}\) defined by: \(a\mathrm{\le }X\mathrm{\le }l\) and \(y=0\)

\(v=0.\)

  • Fixed point \(A\):

\(u=v=0.\)

For modeling \(C\) we replace the stress imposed by pressure on the lips of the crack.