3. B modeling#
3.1. Characteristics of modeling and meshing#
3D_HM modeling
The geometry is the same as for case 1.
Number of knots: 27
Number of meshes and types: 8 HEXA20 and 24 QUA8.
For reasons of calculation time, only 8000 s are modelled.
3.2. Property of materials#
This is the same case as before but with a VISC_MAXWELL_MT model, which in fact will generate different viscosity properties since with the following formula:
\(\begin{array}{c}{\mathrm{\eta }}_{v}^{\mathit{mt}}={\mathrm{\eta }}_{v}^{s}\frac{4{\mathrm{\eta }}_{d}^{s}(1-\mathrm{\phi })}{3\mathrm{\phi }{\mathrm{\eta }}_{v}^{s}+4{\mathrm{\eta }}_{d}^{s}}\\ {\mathrm{\eta }}_{d}^{\mathit{mt}}={\mathrm{\eta }}_{d}^{s}\frac{(1-\mathrm{\phi })(9{\mathrm{\eta }}_{v}^{s}+8{\mathrm{\eta }}_{d}^{s})}{9{\mathrm{\eta }}_{v}^{s}(1+\frac{2}{3}\mathrm{\phi })+8{\mathrm{\eta }}_{d}^{s}(1+\frac{3}{2}\mathrm{\phi })}\end{array}\)
and with the values entered which are those of the skeleton:
Volume viscosity \({\mathrm{\eta }}_{v}^{s}=1.{10}^{30}\) \(\mathit{Pa}\mathrm{.}s\)
Deviatoric viscosity \({\mathrm{\eta }}_{d}^{s}=1.59{10}^{7}\) \(\mathit{Pa}\mathrm{.}s\)
The initial parameters for the porous medium are obtained:
Volume viscosity of the medium \({\mathrm{\eta }}_{v}=2.8{10}^{8}\) \(\mathit{Pa}\mathrm{.}s\)
Deviatoric viscosity of the medium \({\mathrm{\eta }}_{d}=1.41{10}^{7}\) \(\mathit{Pa}\mathrm{.}s\)
This case, unlike the previous one, therefore has a « complete » viscosity and the medium will deform much more.
3.3. Tested sizes and results#
Location |
Instant |
Move |
Aster |
Point \(D\) |
|
-0.106 |
Location |
Instant |
Constraint ( \(\mathit{Pa}\) ) |
Aster |
Point \(D\) |
|
-577739 |