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elements:sgrt2 [2023/11/22 14:52] gilles [Results] |
elements:sgrt2 [2023/12/12 16:01] (current) gilles [Description] |
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The flow (water, air, temperature) description can be different from the mechanical description: the pressure/temperature can be linearly interpolated in a 4-nodes configuration, while the mechanical DoFs are parabolically interpolated in an 8-nodes configuration. In that case, the flow DoF must be fixed for the nodes that are not used (2, 4, 6, and 8). \\ \\ | The flow (water, air, temperature) description can be different from the mechanical description: the pressure/temperature can be linearly interpolated in a 4-nodes configuration, while the mechanical DoFs are parabolically interpolated in an 8-nodes configuration. In that case, the flow DoF must be fixed for the nodes that are not used (2, 4, 6, and 8). \\ \\ | ||
The fluid constitutive laws that can be used with this element are, for now: | The fluid constitutive laws that can be used with this element are, for now: | ||
- | * [[laws:wavat2|WAVAT2]]: MWA coupling: Mechanical - Water - Air | + | * [[laws:wavat|WAVAT2]]: MWA coupling: Mechanical - Water - Air |
\\ | \\ | ||
Implemented by: G. Corman, H. Song (2019) | Implemented by: G. Corman, H. Song (2019) | ||
+ | \\ \\ | ||
+ | The framework definition of this element can be found in Corman (2024)((Corman, G. (2024). Hydro-mechanical modelling of gas transport processes in clay host rocks in the context of a nuclear waste repository. PhD thesis, University of Liège. https://hdl.handle.net/2268/307996)). | ||
==== Files ==== | ==== Files ==== | ||
Prepro: SGRT2A.F \\ | Prepro: SGRT2A.F \\ | ||
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===== Results ===== | ===== Results ===== | ||
* Stresses (in global axxes) | * Stresses (in global axxes) | ||
- | * Mechanical stresses $\sigma_x$, $\sigma_y$, $\sigma_{xy}$, $\sigma_z$ | + | * Mechanical stresses (4): $\sigma_x$, $\sigma_y$, $\sigma_{xy}$, $\sigma_z$ |
- | * Flow in water $f_{wx}$, $f_{wy}$, $f_{w,stored}$, 0 | + | * Flow in water (4): $f_{wx}$, $f_{wy}$, $f_{w,stored}$, 0 |
- | * Flow in air $f_{ax}$, $f_{ay}$, $f_{a,stored}$, 0 | + | * Flow in air (4): $f_{ax}$, $f_{ay}$, $f_{a,stored}$, 0 |
- | * Thermal flow $f_{tx}$, $f_{ty}$, $f_{t,stored}$, 0 | + | * Thermal flow (4): $f_{tx}$, $f_{ty}$, $f_{t,stored}$, 0 |
* Internal variables: | * Internal variables: | ||
- | * Internal variables of the mechanical law | + | * Internal variables of the (1st gradient) mechanical law |
+ | * Internal variables of the second gradient mechanical law | ||
* Internal variables of the flow law | * Internal variables of the flow law | ||
- | __Stresses (in global axes)__: \\ | + | |
- | 4 "classic" mechanical stresses: $\sigma_x$, $\sigma_y$, $\sigma_{xy}$, $\sigma_z$ \\ | + | |
- | 8 "second gradient" mechanical stresses: $\Sigma_{111}$, $\Sigma_{112}$, $\Sigma_{121}$, $\Sigma_{122}$, $\Sigma_{211}$, $\Sigma_{212}$, $\Sigma_{221}$, $\Sigma_{222}$ \\ | + | |
- | 4 flow stresses: $f_x$, $f_y$, $f_{emmagasiné}$, $0$ \\ \\ | + | |
- | __Internal variables__: \\ | + | |
- | Internal variables of the "classic" mechanical law \\ | + | |
- | Internal variables of the "second gradient" mechanical law \\ | + | |
- | Internal variables of the fluid law | + | |