Mesoscale Poroelasticity of Heterogeneous Media
The poromechanics of heterogeneous media is reformulated in a discrete framework using the lattice element method (LEM) that accounts for the presence of interfaces as well as local microtextural and elastic variations. The exchange of mechanical information between pore and solid(s) is captured by...
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| Format: | Article |
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American Society of Civil Engineers (ASCE)
2017
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| Online Access: | http://hdl.handle.net/1721.1/112224 https://orcid.org/0000-0001-5559-4190 https://orcid.org/0000-0002-7089-8069 |
| _version_ | 1811089999855091712 |
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| author | Monfared, Siavash Laubie, Hadrien H Radjai, Farhang Pellenq, Roland Jm Ulm, Franz-Josef |
| author2 | Massachusetts Institute of Technology. Department of Civil and Environmental Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Monfared, Siavash Laubie, Hadrien H Radjai, Farhang Pellenq, Roland Jm Ulm, Franz-Josef |
| author_sort | Monfared, Siavash |
| collection | MIT |
| description | The poromechanics of heterogeneous media is reformulated in a discrete framework using the lattice element method (LEM) that accounts for the presence of interfaces as well as local microtextural and elastic variations. The exchange of mechanical information between pore and solid(s) is captured by means of force field potentials for these domains, which eliminate the requirement of scale separability of continuum-based poromechanics approaches. In congruence with μVT and NPT
ensembles of statistical mechanics, discrete expressions for Biot poroelastic coefficients are derived. Considering harmonic-type interaction potentials for each link, analytical expressions for both isotropic and transversely isotropic effective elasticity are presented. The theory is validated against continuum-based expressions of Biot poroelastic coefficients for porous media with isotropic and transversely isotropic elastic solid behavior. |
| first_indexed | 2024-09-23T14:29:28Z |
| format | Article |
| id | mit-1721.1/112224 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T14:29:28Z |
| publishDate | 2017 |
| publisher | American Society of Civil Engineers (ASCE) |
| record_format | dspace |
| spelling | mit-1721.1/1122242022-09-29T09:38:53Z Mesoscale Poroelasticity of Heterogeneous Media Monfared, Siavash Laubie, Hadrien H Radjai, Farhang Pellenq, Roland Jm Ulm, Franz-Josef Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Monfared, Siavash Laubie, Hadrien H Radjai, Farhang Pellenq, Roland Jm Ulm, Franz-Josef The poromechanics of heterogeneous media is reformulated in a discrete framework using the lattice element method (LEM) that accounts for the presence of interfaces as well as local microtextural and elastic variations. The exchange of mechanical information between pore and solid(s) is captured by means of force field potentials for these domains, which eliminate the requirement of scale separability of continuum-based poromechanics approaches. In congruence with μVT and NPT ensembles of statistical mechanics, discrete expressions for Biot poroelastic coefficients are derived. Considering harmonic-type interaction potentials for each link, analytical expressions for both isotropic and transversely isotropic effective elasticity are presented. The theory is validated against continuum-based expressions of Biot poroelastic coefficients for porous media with isotropic and transversely isotropic elastic solid behavior. 2017-11-17T16:11:43Z 2017-11-17T16:11:43Z 2017-10 2016-11 2017-11-02T17:18:12Z Article http://purl.org/eprint/type/JournalArticle 2153-5434 2153-5477 http://hdl.handle.net/1721.1/112224 Monfared, Siavash et al. “Mesoscale Poroelasticity of Heterogeneous Media.” Journal of Nanomechanics and Micromechanics 7, 4 (December 2017): 04017016 © 2017 American Society of Civil Engineers (ASCE) https://orcid.org/0000-0001-5559-4190 https://orcid.org/0000-0002-7089-8069 http://dx.doi.org/10.1061/(ASCE)NM.2153-5477.0000136 Journal of Nanomechanics and Micromechanics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf American Society of Civil Engineers (ASCE) Monfared |
| spellingShingle | Monfared, Siavash Laubie, Hadrien H Radjai, Farhang Pellenq, Roland Jm Ulm, Franz-Josef Mesoscale Poroelasticity of Heterogeneous Media |
| title | Mesoscale Poroelasticity of Heterogeneous Media |
| title_full | Mesoscale Poroelasticity of Heterogeneous Media |
| title_fullStr | Mesoscale Poroelasticity of Heterogeneous Media |
| title_full_unstemmed | Mesoscale Poroelasticity of Heterogeneous Media |
| title_short | Mesoscale Poroelasticity of Heterogeneous Media |
| title_sort | mesoscale poroelasticity of heterogeneous media |
| url | http://hdl.handle.net/1721.1/112224 https://orcid.org/0000-0001-5559-4190 https://orcid.org/0000-0002-7089-8069 |
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