elements:sgrt2
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elements:sgrt2 [2023/11/22 09:38] gilles created |
elements:sgrt2 [2023/12/12 16:01] (current) gilles [Description] |
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| Plane or axisymmetric state | Plane or axisymmetric state | ||
| ===== Description ===== | ===== Description ===== | ||
| - | {{ :elements:sgra2.png?370|}} | + | {{ :elements:sgrt2.png?370|}} |
| Coupled Mechanical-Water-Air-Temperature analysis, Grenoble 2<sup>nd</sup> gradient method, in large deformations. \\ \\ | Coupled Mechanical-Water-Air-Temperature analysis, Grenoble 2<sup>nd</sup> gradient method, in large deformations. \\ \\ | ||
| - | Type: 218 \\ \\ | + | |
| + | Type: 230 \\ \\ | ||
| The element is defined by 9 nodes specified in NODES in the order indicated in the figure. \\ \\ | The element is defined by 9 nodes specified in NODES in the order indicated in the figure. \\ \\ | ||
| - | Nodes 1, 3, 5, and 7 have 6 DoF ($u_1$, $u_2$, $v_{11}$, $v_{12}$, $v_{21}$, $v_{22}$), whereas nodes 2, 4, 6, and 8 only have 2 DoF ($u_1$, $u_2$). The central node 9 has 4 DoF ($\lambda_{11}$, $\lambda_{12}$, $\lambda_{21}$, $\lambda_{22}$), that have a different signification from ($v_{11}$, $v_{12}$, $v_{21}$, $v_{22}$) but occupy the same position. \\ \\ | + | Nodes 1, 3, 5, and 7 have 9 DoF ($u_1$, $u_2$, $p_w$, $p_g$, $T$, $v_{11}$, $v_{12}$, $v_{21}$, $v_{22}$), whereas nodes 2, 4, 6, and 8 only have 5 DoF ($u_1$, $u_2$, $p_w$, $p_g$, $T$). The central node 9 has 4 DoF ($\lambda_{11}$, $\lambda_{12}$, $\lambda_{21}$, $\lambda_{22}$), that have a different signification from ($v_{11}$, $v_{12}$, $v_{21}$, $v_{22}$) but occupy the same position. \\ \\ |
| - | The flow description can be completely different from the mechanical description: the pressure can be interpolated linearly in a 4 node configuration, while the mechanical degrees of freedom are interpolated parabolically in an 8-node 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). \\ \\ |
| - | Implemented by: J-P. Radu, F. Collin (2003) | + | The fluid constitutive laws that can be used with this element are, for now: |
| + | * [[laws:wavat|WAVAT2]]: MWA coupling: Mechanical - Water - Air | ||
| + | \\ | ||
| + | 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: SGRC2A.F \\ | + | Prepro: SGRT2A.F \\ |
| - | Lagamine: SGRC2B.F | + | Lagamine: SGRT2B.F |
| ===== Input file ===== | ===== Input file ===== | ||
| ^Title (A5)^^ | ^Title (A5)^^ | ||
| - | |TITLE|"SGRC2" in the first 5 columns| | + | |TITLE|"SGRT2" in the first 5 columns| |
| ^Control data (4I5)^^ | ^Control data (4I5)^^ | ||
| |NELEM|Number of elements| | |NELEM|Number of elements| | ||
| Line 37: | Line 43: | ||
| |CBIOT3|Biot coefficient $b_{33}$| | |CBIOT3|Biot coefficient $b_{33}$| | ||
| ^Definition of the elements (5I5/9I5)^^ | ^Definition of the elements (5I5/9I5)^^ | ||
| - | |NINTE|Number of integration points (1, 4, or 9)| | + | |NNODM|Number of nodes for the mechancial description: 4 or 8 - Default value = 8| |
| - | |LMATM|"Classic" mechanical law| | + | |NINTM|Number of integration points for the mechanical description: 1, 4, or 9| |
| - | |LMATSG|"Second gradient" material law| | + | |LMATM|Classic (1st gradient) mechanical law| |
| + | |LMATSG| Second gradient mechanical law| | ||
| + | |NNODP|Number of nodes for the flow description: 4 or 8 - Default value = 8| | ||
| + | |NINTP|Number of integration points for the flow description: 1, 4, or 9\\ Must be equal to NINTM| | ||
| |LMATF|Fluid law| | |LMATF|Fluid law| | ||
| |NNODF|Number of fluid nodes (4 or 8 - Default value = 8)| | |NNODF|Number of fluid nodes (4 or 8 - Default value = 8)| | ||
| |NODES(9)|List of nodes| | |NODES(9)|List of nodes| | ||
| ===== Results ===== | ===== Results ===== | ||
| - | __Stresses (in global axes)__: \\ | + | * Stresses (in global axxes) |
| - | 4 "classic" mechanical stresses: $\sigma_x$, $\sigma_y$, $\sigma_{xy}$, $\sigma_z$ \\ | + | * Mechanical stresses (4): $\sigma_x$, $\sigma_y$, $\sigma_{xy}$, $\sigma_z$ |
| - | 8 "second gradient" mechanical stresses: $\Sigma_{111}$, $\Sigma_{112}$, $\Sigma_{121}$, $\Sigma_{122}$, $\Sigma_{211}$, $\Sigma_{212}$, $\Sigma_{221}$, $\Sigma_{222}$ \\ | + | * Flow in water (4): $f_{wx}$, $f_{wy}$, $f_{w,stored}$, 0 |
| - | 4 flow stresses: $f_x$, $f_y$, $f_{emmagasiné}$, $0$ \\ \\ | + | * Flow in air (4): $f_{ax}$, $f_{ay}$, $f_{a,stored}$, 0 |
| - | __Internal variables__: \\ | + | * Thermal flow (4): $f_{tx}$, $f_{ty}$, $f_{t,stored}$, 0 |
| - | Internal variables of the "classic" mechanical law \\ | + | * Internal variables: |
| - | Internal variables of the "second gradient" mechanical law \\ | + | * Internal variables of the (1st gradient) mechanical law |
| - | Internal variables of the fluid law | + | * Internal variables of the second gradient mechanical law |
| + | * Internal variables of the flow law | ||
elements/sgrt2.1700642316.txt.gz · Last modified: 2023/11/22 09:38 by gilles
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