Fluctuation-based fracture mechanics of heterogeneous materials
We present results of a hybrid analytical-simulation investigation of the fracture resistance of heterogeneous materials. We show that bond-energy fluctuations sampled by Monte Carlo simulations in the semigrand canonical ensemble provide a means to rationalize the complexity of heterogeneous fractu...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society (APS)
2023
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| Online Access: | https://hdl.handle.net/1721.1/148630 |
| _version_ | 1826202871638523904 |
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| author | Mulla, T Pellenq, RJ-M Ulm, F-J |
| author2 | Massachusetts Institute of Technology. Department of Civil and Environmental Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Mulla, T Pellenq, RJ-M Ulm, F-J |
| author_sort | Mulla, T |
| collection | MIT |
| description | We present results of a hybrid analytical-simulation investigation of the fracture resistance of heterogeneous materials. We show that bond-energy fluctuations sampled by Monte Carlo simulations in the semigrand canonical ensemble provide a means to rationalize the complexity of heterogeneous fracture processes, encompassing probability and percolation theories of fracture. For a number of random and textured model materials, we derive upper and lower bounds of fracture resistance and link bond fracture fluctuations to statistical descriptors of heterogeneity, such as two-point correlation functions, to identify the origin of toughening mechanisms. This includes a shift from short- to long-range interactions of bond fracture processes in random systems to the transition from critical to subcritical bond fracture percolation in textured materials and the activation of toughness reserves at compliant interfaces. Induced by elastic mismatch, they connect to a number of disparate experimental observations, including toughening of brittle solids by deformable polymers or organics in, e.g., gas shale, nacre; stress-induced transformational toughening in ceramics; and toughening of sparse elastic networks in hydrogels, to name a few. |
| first_indexed | 2024-09-23T12:23:23Z |
| format | Article |
| id | mit-1721.1/148630 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T12:23:23Z |
| publishDate | 2023 |
| publisher | American Physical Society (APS) |
| record_format | dspace |
| spelling | mit-1721.1/1486302023-03-21T03:29:11Z Fluctuation-based fracture mechanics of heterogeneous materials Mulla, T Pellenq, RJ-M Ulm, F-J Massachusetts Institute of Technology. Department of Civil and Environmental Engineering We present results of a hybrid analytical-simulation investigation of the fracture resistance of heterogeneous materials. We show that bond-energy fluctuations sampled by Monte Carlo simulations in the semigrand canonical ensemble provide a means to rationalize the complexity of heterogeneous fracture processes, encompassing probability and percolation theories of fracture. For a number of random and textured model materials, we derive upper and lower bounds of fracture resistance and link bond fracture fluctuations to statistical descriptors of heterogeneity, such as two-point correlation functions, to identify the origin of toughening mechanisms. This includes a shift from short- to long-range interactions of bond fracture processes in random systems to the transition from critical to subcritical bond fracture percolation in textured materials and the activation of toughness reserves at compliant interfaces. Induced by elastic mismatch, they connect to a number of disparate experimental observations, including toughening of brittle solids by deformable polymers or organics in, e.g., gas shale, nacre; stress-induced transformational toughening in ceramics; and toughening of sparse elastic networks in hydrogels, to name a few. 2023-03-20T18:22:33Z 2023-03-20T18:22:33Z 2022-12 2023-03-20T18:19:36Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/148630 Mulla, T, Pellenq, RJ-M and Ulm, F-J. 2022. "Fluctuation-based fracture mechanics of heterogeneous materials." Physical Review E, 106 (6). en 10.1103/physreve.106.065003 Physical Review E 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. application/pdf American Physical Society (APS) APS |
| spellingShingle | Mulla, T Pellenq, RJ-M Ulm, F-J Fluctuation-based fracture mechanics of heterogeneous materials |
| title | Fluctuation-based fracture mechanics of heterogeneous materials |
| title_full | Fluctuation-based fracture mechanics of heterogeneous materials |
| title_fullStr | Fluctuation-based fracture mechanics of heterogeneous materials |
| title_full_unstemmed | Fluctuation-based fracture mechanics of heterogeneous materials |
| title_short | Fluctuation-based fracture mechanics of heterogeneous materials |
| title_sort | fluctuation based fracture mechanics of heterogeneous materials |
| url | https://hdl.handle.net/1721.1/148630 |
| work_keys_str_mv | AT mullat fluctuationbasedfracturemechanicsofheterogeneousmaterials AT pellenqrjm fluctuationbasedfracturemechanicsofheterogeneousmaterials AT ulmfj fluctuationbasedfracturemechanicsofheterogeneousmaterials |