1. Reference problem#
1.1. Geometry#
We consider a cube with side \(1m\).
1.2. Material properties#
For models A, B, C, and D:
\(E=1\mathit{MPa}\) |
Young’s module |
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\(\mathrm{\nu }=0.15\) |
Poisson’s ratio |
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For E |
F |
G |
H |
H |
I |
I |
I |
J |
K |
L |
and M models: |
\(E=1\mathit{MPa}\) |
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 \(\text{BORDX}\), \(\text{BORDMX}\), \(\text{BORDY}\), \(\text{BORDMY}\),, \(\text{BORDZ}\) and \(\text{ESCLAVE}\), 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)#\[ Z\ mathrm {=}\ mathrm {-} 0.2\ mathrm {\ times} (1. + {X} ^ {2} + {Y} ^ {2})\ mathrm {-} 0.3\]
1.4. Initial conditions#
Néant