1. Reference problem

1.1. Geometry

In the coordinate system (X0, Y0, Z0), the coordinates of the points are:

\(C(0;2;1)\)	\(D(2;0;0)\)	\(E(0;2;0)\)	\(F(1;0;1)\)	\(O(0;0;0)\)
\(A(2;0;1)\)	\(B(\sqrt{2};\sqrt{2};1)\)	\(G(0;1;1)\)	\(H(1;0;0)\)	\(I(0;1;0)\)

1.2. Material properties

Anisotropic material, preferred direction along the axes of the cylindrical coordinate system \(({u}_{r},{u}_{\theta },{u}_{z})\)

\({\lambda }_{r}=1.\) \({\lambda }_{\theta }=0.5\) \({\lambda }_{z}=3.W/m°C\) \(\rho {C}_{P}=2J/{m}^{3}°C\)

1.3. Boundary conditions and loads

face \(\mathrm{AFHD}\):	Temperature imposed at \(100°C\)
face \(\mathrm{CGIE}\):	Temperature at \(0°C\)
other faces:	Neumann

1.4. Initial conditions

To do this stationary calculation, a transient calculation is made for which the boundary conditions are constant over time. This makes it possible to test the elementary calculations of mass and stiffness occurring in the first limb as well as the 2nd.