3. Modeling A#
3.1. Characteristics of modeling#
\(\mathrm{2D}\) axisymmetric modeling, AXIS:
Boundary conditions:
\(\mathit{N1}\): \({u}_{y}=0\)
\(\mathit{N2}\): \({u}_{y}=0\)
Charging:
Traction on the face \(\mathrm{[}34\mathrm{]}\) (mesh SEG2)
Assigning the same temperature to all nodes
The total number of increments is \(501\) (\(1\) increment between \(t\mathrm{=}\mathrm{0s}\) and \(t=\mathrm{1s}\), \(500\) increments between \(t\mathrm{=}\mathrm{1s}\) and \(t=\mathrm{2s}\))
Convergence is achieved if residue RESI_GLOB_RELA is less than or equal to \({10}^{\mathrm{-}6}\).
Behavior:
For mechanical calculation, the keyword META_LEMA_ANI is used, with the following parameters (see [R4.04.04] and [R4.04.05]):
\(E=80000\mathrm{MPa}\)
\(\nu =0.35\)
\({\alpha }_{f}=0.\)
\({\alpha }_{c}=0.\)
\({a}_{1}\mathrm{=}2.40\mathit{MPa}\)
\({m}_{1}=0.\)
\({n}_{1}\mathrm{=}4.40\)
\({Q}_{1}\mathrm{=}19900.K\)
\({M}_{\mathrm{rrrr}}^{1}=1.\)
\({M}_{\theta \theta \theta \theta }^{1}=1.\)
\({M}_{\mathrm{zzzz}}^{1}=1.\)
\({M}_{r\theta r\theta }^{1}=0.75\)
\({M}_{\mathrm{rzrz}}^{1}=0.75\)
\({M}_{\theta z\theta z}^{1}=0.75\)
\(\mathit{TDEQ}=802.\)
\(K=1.125E-2\)
\(\text{NEQ}=2.217\)
\(T1C=838.\)
\(T2C=0.0\)
\(\text{QSR\_K}=14600\)
\(\mathit{AC}=1.60E-4\)
\(M=\mathrm{4,5}\)
\(T1R=950\)
\(T2R=\mathrm{0,0}\)
\(\mathit{AR}=-5.7\)
\(\mathit{BR}=\mathrm{0,05}\)
The parameters corresponding to mixture \(\alpha \beta\) and to the hot phase do not play a role and are taken to be arbitrary.
3.2. Characteristics of the mesh#
Number of knots: 4
Number of meshes: 2
1 QUAD4
1 SEG2
3.3. Tested sizes and results#
Identification |
Reference |
\(t=2\) Displacement \(\mathrm{DX}\) (\(\mathrm{N3}\)) |
-527.4259 |
\(t=2\) Constraints \(\mathrm{SIGYY}\) (\(\mathrm{PG1}\)) |
236.6860 |
\(t=2\) Variable \(p\) \(V5\) (\(\mathit{PG}1\)) |
1.4984 |
\(t=2\) Variable \({Z}_{b}\) \(V6\) (\(\mathrm{PG1}\)) |
0.0 |