1. Reference problem#

1.1. Geometry and modeling#

It is a flat crack with a half-length \(a\mathrm{=}\mathrm{20m}\).

The assumed infinite medium is modelled by a square with a side of \(\mathrm{200m}\). Since planes \(\mathit{xz}\) and \(\mathit{yz}\) are planes of symmetry, we represent only a quarter of the structure (square of \(100m\) by \(100m\)), and a half-crack lip of length \(a=20m\) is represented.

An absorbent border is present on the « border1 » and « border2 » groups to model the infinite medium.

_images/10000200000002420000023E907C12F98EE2E12F.png

1.2. Material properties#

Density

\(\rho \mathrm{=}\mathrm{7500kg}\mathrm{/}{m}^{3}\)

Young’s module:

\(E\mathrm{=}{2.10}^{11}\mathit{MPa}\)

Poisson’s ratio:

\(\nu \mathrm{=}0.3\)

1.3. Loads#

Pressure imposed:

\[\]

: label: EQ-None

textrm {Mesh group} mathit {Crack}