1. Reference problem#
1.1. Geometry#
The domain is a rectangle of size \(10\mathrm{\times }20\), divided into 4 slices of \(10\mathrm{\times }5\). 3 points are associated with this rectangle: \(M\), \(N\) and \(O\).
OPPOSE
J
11
O
D
C
B
A
6
N
1
M
ORIGINE
I
22
17
12
7
2
0
1.2. Material properties#
Two materials are used:
Material \(1\) has the following characteristics:
\(E\mathrm{=}180000{\mathit{N.m}}^{\mathrm{-}2}\)
\(\nu \mathrm{=}\mathrm{0,3}\)
\(\alpha \mathrm{=}\mathrm{1,5}{10}^{\mathrm{-}7}\)
\(\rho \mathrm{=}7700{\mathit{kg.m}}^{\mathrm{-}3}\)
It is applied in slices \(A\) and \(B\).
The second material has the following characteristics:
\(E\mathrm{=}220000{\mathit{N.m}}^{\mathrm{-}2}\)
\(\nu \mathrm{=}\mathrm{0,3}\)
\(\alpha \mathrm{=}\mathrm{1,6}{10}^{\mathrm{-}7}\)
\(\rho \mathrm{=}8300{\mathit{kg.m}}^{\mathrm{-}3}\)
It is applied in slices \(C\) and \(D\).
1.3. Boundary conditions and loads#
At point \(\mathit{ORIGINE}\), the displacement is zero according to \(y\).
On the entire left edge, i.e. between points \(\mathit{ORIGINE}\) and \(J\), the normal movement is zero.
On the upper edge, i.e. between points \(J\) and \(\mathit{OPPOSE}\), pressure is imposed on \(1000\).
1.4. Initial conditions#
Not applicable.