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elements:sgrt2 [2023/11/22 14:53] 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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| * Thermal flow (4): $f_{tx}$, $f_{ty}$, $f_{t,stored}$, 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 | + | |