Stress Transmission and Failure in Disordered Porous Media
By means of extensive lattice-element simulations, we investigate stress transmission and its relation with failure properties in increasingly disordered porous systems. We observe a non-Gaussian broadening of stress probability density functions under tensile loading with increasing porosity and di...
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| Format: | Article |
| Language: | English |
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American Physical Society
2018
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| Online Access: | http://hdl.handle.net/1721.1/113875 https://orcid.org/0000-0001-5559-4190 https://orcid.org/0000-0002-7089-8069 |
| _version_ | 1811076970569531392 |
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| author | 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 Laubie, Hadrien H Radjai, Farhang Pellenq, Roland Jm Ulm, Franz-Josef |
| author_sort | Laubie, Hadrien H |
| collection | MIT |
| description | By means of extensive lattice-element simulations, we investigate stress transmission and its relation with failure properties in increasingly disordered porous systems. We observe a non-Gaussian broadening of stress probability density functions under tensile loading with increasing porosity and disorder, revealing a gradual transition from a state governed by single-pore stress concentration to a state controlled by multipore interactions and metric disorder. This effect is captured by the excess kurtosis of stress distributions and shown to be nicely correlated with the second moment of local porosity fluctuations, which appears thus as a (dis)order parameter for the system. By generating statistical ensembles of porous textures with varying porosity and disorder, we derive a general expression for the fracture stress as a decreasing function of porosity and disorder. Focusing on critical sites where the local stress is above the global fracture threshold, we also analyze the transition to failure in terms of a coarse-graining length. These findings provide a general framework which can also be more generally applied to multiphase and structural heterogeneous materials. |
| first_indexed | 2024-09-23T10:32:56Z |
| format | Article |
| id | mit-1721.1/113875 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:32:56Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1138752022-09-27T09:58:29Z Stress Transmission and Failure in Disordered Porous Media Laubie, Hadrien H Radjai, Farhang Pellenq, Roland Jm Ulm, Franz-Josef Massachusetts Institute of Technology. Department of Civil and Environmental Engineering MultiScale Materials Science for Energy and Environment, Joint MIT-CNRS Laboratory Laubie, Hadrien H Radjai, Farhang Pellenq, Roland Jm Ulm, Franz-Josef By means of extensive lattice-element simulations, we investigate stress transmission and its relation with failure properties in increasingly disordered porous systems. We observe a non-Gaussian broadening of stress probability density functions under tensile loading with increasing porosity and disorder, revealing a gradual transition from a state governed by single-pore stress concentration to a state controlled by multipore interactions and metric disorder. This effect is captured by the excess kurtosis of stress distributions and shown to be nicely correlated with the second moment of local porosity fluctuations, which appears thus as a (dis)order parameter for the system. By generating statistical ensembles of porous textures with varying porosity and disorder, we derive a general expression for the fracture stress as a decreasing function of porosity and disorder. Focusing on critical sites where the local stress is above the global fracture threshold, we also analyze the transition to failure in terms of a coarse-graining length. These findings provide a general framework which can also be more generally applied to multiphase and structural heterogeneous materials. 2018-02-22T20:07:17Z 2018-02-22T20:07:17Z 2017-08 2017-03 2017-11-14T22:47:01Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/113875 Laubie, Hadrien, et al. “Stress Transmission and Failure in Disordered Porous Media.” Physical Review Letters, vol. 119, no. 7, Aug. 2017. © 2017 American Physical Society https://orcid.org/0000-0001-5559-4190 https://orcid.org/0000-0002-7089-8069 en http://dx.doi.org/10.1103/PhysRevLett.119.075501 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Laubie, Hadrien H Radjai, Farhang Pellenq, Roland Jm Ulm, Franz-Josef Stress Transmission and Failure in Disordered Porous Media |
| title | Stress Transmission and Failure in Disordered Porous Media |
| title_full | Stress Transmission and Failure in Disordered Porous Media |
| title_fullStr | Stress Transmission and Failure in Disordered Porous Media |
| title_full_unstemmed | Stress Transmission and Failure in Disordered Porous Media |
| title_short | Stress Transmission and Failure in Disordered Porous Media |
| title_sort | stress transmission and failure in disordered porous media |
| url | http://hdl.handle.net/1721.1/113875 https://orcid.org/0000-0001-5559-4190 https://orcid.org/0000-0002-7089-8069 |
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