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- Publisher Website: 10.1016/j.finmec.2023.100213
- Scopus: eid_2-s2.0-85163546459
- WOS: WOS:001024388800001
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Article: Onsager’s reciprocal relationship applied to multiphysics poromechanics
| Title | Onsager’s reciprocal relationship applied to multiphysics poromechanics |
|---|---|
| Authors | |
| Keywords | Critical-state-line model Local equilibrium Non-local processes Onsager-Casimir theorem Ziegler'S orthogonality principle |
| Issue Date | 21-Jun-2023 |
| Publisher | Elsevier |
| Citation | Forces in Mechanics, 2023, v. 12 How to Cite? |
| Abstract | Onsager’s theory of linear irreversible thermodynamics has been successfully applied to explain findings from experiments. However, its application to multiphysics processes in deformable porous media is a non-trivial undertaking. This contribution presents an extension of Onsager’s theorem to include the flux of the matter of weakly coupled two-phase porous systems. It also relates Onsager to Ziegler’s nonlinear approach including the classical acoustic tensor criterion for localisation phenomena in such nonlinear media. The results are illustrated by Terzaghi consolidation problem using the well established modified Cam-Clay plasticity model. We show that a generalised dissipative stress can act as an appropriate thermodynamic force quantity rendering the non-associated yield envelope into Onsager’s associated form ensuring the thermodynamic condition of no-work free plastic deformation. We present in this contribution an attempt of using the theory of thermodynamics of internal state variables to develop a generic poromechanics approach that relaxes isothermal constraints for weakly coupled problems. This approach lends itself to a promising future extension of a dynamic Onsager diffusional operator for conditions where the multiphysics processes are strongly coupled in the porous system and emergent phenomena may occur. |
| Persistent Identifier | http://hdl.handle.net/10722/337503 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Regenauer-Lieb, Klaus | - |
| dc.contributor.author | Hu, Manman | - |
| dc.date.accessioned | 2024-03-11T10:21:23Z | - |
| dc.date.available | 2024-03-11T10:21:23Z | - |
| dc.date.issued | 2023-06-21 | - |
| dc.identifier.citation | Forces in Mechanics, 2023, v. 12 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/337503 | - |
| dc.description.abstract | <p>Onsager’s theory of linear irreversible thermodynamics has been successfully applied to explain findings from experiments. However, its application to multiphysics processes in deformable <a href="https://www.sciencedirect.com/topics/engineering/porous-medium" title="Learn more about porous media from ScienceDirect's AI-generated Topic Pages">porous media</a> is a non-trivial undertaking. This contribution presents an extension of Onsager’s theorem to include the flux of the matter of weakly coupled two-phase porous systems. It also relates Onsager to Ziegler’s nonlinear approach including the classical <a href="https://www.sciencedirect.com/topics/engineering/acoustic-tensor" title="Learn more about acoustic tensor from ScienceDirect's AI-generated Topic Pages">acoustic tensor</a> criterion for <a href="https://www.sciencedirect.com/topics/engineering/localization-phenomenon" title="Learn more about localisation phenomena from ScienceDirect's AI-generated Topic Pages">localisation phenomena</a> in such nonlinear media. The results are illustrated by Terzaghi consolidation problem using the well established modified Cam-Clay <a href="https://www.sciencedirect.com/topics/engineering/plasticity-model" title="Learn more about plasticity model from ScienceDirect's AI-generated Topic Pages">plasticity model</a>. We show that a generalised dissipative stress can act as an appropriate <a href="https://www.sciencedirect.com/topics/engineering/thermodynamic-force" title="Learn more about thermodynamic force from ScienceDirect's AI-generated Topic Pages">thermodynamic force</a> quantity rendering the non-associated yield envelope into Onsager’s associated form ensuring the thermodynamic condition of no-work free <a href="https://www.sciencedirect.com/topics/engineering/plastic-deformation" title="Learn more about plastic deformation from ScienceDirect's AI-generated Topic Pages">plastic deformation</a>. We present in this contribution an attempt of using the theory of thermodynamics of <a href="https://www.sciencedirect.com/topics/engineering/internal-state-variable" title="Learn more about internal state variables from ScienceDirect's AI-generated Topic Pages">internal state variables</a> to develop a generic poromechanics approach that relaxes <a href="https://www.sciencedirect.com/topics/engineering/isothermal" title="Learn more about isothermal from ScienceDirect's AI-generated Topic Pages">isothermal</a> constraints for weakly coupled problems. This approach lends itself to a promising future extension of a dynamic Onsager diffusional operator for conditions where the multiphysics processes are strongly coupled in the porous system and emergent phenomena may occur.</p> | - |
| dc.language | eng | - |
| dc.publisher | Elsevier | - |
| dc.relation.ispartof | Forces in Mechanics | - |
| dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
| dc.subject | Critical-state-line model | - |
| dc.subject | Local equilibrium | - |
| dc.subject | Non-local processes | - |
| dc.subject | Onsager-Casimir theorem | - |
| dc.subject | Ziegler'S orthogonality principle | - |
| dc.title | Onsager’s reciprocal relationship applied to multiphysics poromechanics | - |
| dc.type | Article | - |
| dc.identifier.doi | 10.1016/j.finmec.2023.100213 | - |
| dc.identifier.scopus | eid_2-s2.0-85163546459 | - |
| dc.identifier.volume | 12 | - |
| dc.identifier.eissn | 2666-3597 | - |
| dc.identifier.isi | WOS:001024388800001 | - |
| dc.identifier.issnl | 2666-3597 | - |