1. Reference problem#

1.1. Geometry#

We consider a square with side \(1m\).

_images/Shape1.gif

1.2. Material properties#

For A and B models:

\(E=1\mathit{MPa}\)

Young’s module

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

Poisson’s ratio

For C

D

E

and F models:

\(E=\mathrm{1MPa}\)

Young’s module

\(\mathrm{\nu }=0.\)

Poisson’s ratio

1.3. Boundary conditions and loads#

On edge \(\text{HAUT}\), a displacement is imposed (see paragraph 2).

On edges \(\text{GAUCHE}\), \(\text{BAS}\) and \(\text{DROITE}\), pressure is imposed (see paragraph 2).

Throughout the domain, a force of volume is imposed (see paragraph 2).

Surface \(\text{MAITRE}\), which is paraboloid in nature, is described by the equation:

(1.1)#\[ Y\ mathrm {=}\ mathrm {-} 0.05\ mathrm {\ times} {(X\ mathrm {-} 0.5)}} ^ {2}\]

1.4. Initial conditions#

Néant