Elasticity of Random Multiphase Materials: Percolation of the Stiffness Tensor
Topology and percolation effects play an important role in heterogeneous materials, but have rarely been studied for higher-order tensor properties. We explore the effective elastic properties of random multiphase materials using a combination of continuum computational simulations and analytical th...
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| 其他作者: | |
| 格式: | 文件 |
| 语言: | English |
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Springer US
2016
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| 在线阅读: | http://hdl.handle.net/1721.1/105194 https://orcid.org/0000-0001-9856-2682 |
| _version_ | 1826193769561587712 |
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| author | Chen, Ying Schuh, Christopher A |
| author2 | Massachusetts Institute of Technology. Department of Materials Science and Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Materials Science and Engineering Chen, Ying Schuh, Christopher A |
| author_sort | Chen, Ying |
| collection | MIT |
| description | Topology and percolation effects play an important role in heterogeneous materials, but have rarely been studied for higher-order tensor properties. We explore the effective elastic properties of random multiphase materials using a combination of continuum computational simulations and analytical theories. The effective shear and bulk moduli of a class of symmetric-cell random composites with high phase contrasts are determined, and reveal shortcomings of classical homogenization theories in predicting elastic properties of percolating systems. The effective shear modulus exhibits typical percolation behavior, but with its percolation threshold shifting with the contrast in phase bulk moduli. On the contrary, the effective bulk modulus does not exhibit intrinsic percolation but does show an apparent or extrinsic percolation transition due to cross effects between shear and bulk moduli. We also propose an empirical approach for bridging percolation and homogenization theories and predicting the effective shear and bulk moduli in a manner consistent with the simulations. |
| first_indexed | 2024-09-23T09:44:36Z |
| format | Article |
| id | mit-1721.1/105194 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T09:44:36Z |
| publishDate | 2016 |
| publisher | Springer US |
| record_format | dspace |
| spelling | mit-1721.1/1051942022-09-26T13:30:03Z Elasticity of Random Multiphase Materials: Percolation of the Stiffness Tensor Chen, Ying Schuh, Christopher A Massachusetts Institute of Technology. Department of Materials Science and Engineering Schuh, Christopher A Topology and percolation effects play an important role in heterogeneous materials, but have rarely been studied for higher-order tensor properties. We explore the effective elastic properties of random multiphase materials using a combination of continuum computational simulations and analytical theories. The effective shear and bulk moduli of a class of symmetric-cell random composites with high phase contrasts are determined, and reveal shortcomings of classical homogenization theories in predicting elastic properties of percolating systems. The effective shear modulus exhibits typical percolation behavior, but with its percolation threshold shifting with the contrast in phase bulk moduli. On the contrary, the effective bulk modulus does not exhibit intrinsic percolation but does show an apparent or extrinsic percolation transition due to cross effects between shear and bulk moduli. We also propose an empirical approach for bridging percolation and homogenization theories and predicting the effective shear and bulk moduli in a manner consistent with the simulations. National Science Foundation (U.S.) (Contract CMMI-1332789) National Science Foundation (U.S.) (Contract DMR-0346848) 2016-11-03T22:24:42Z 2016-11-03T22:24:42Z 2015-10 2015-05 2016-08-18T15:44:45Z Article http://purl.org/eprint/type/JournalArticle 0022-4715 1572-9613 http://hdl.handle.net/1721.1/105194 Chen, Ying, and Christopher A. Schuh. “Elasticity of Random Multiphase Materials: Percolation of the Stiffness Tensor.” Journal of Statistical Physics 162.1 (2016): 232–241. https://orcid.org/0000-0001-9856-2682 en http://dx.doi.org/10.1007/s10955-015-1387-6 Journal of Statistical Physics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ Springer Science+Business Media New York application/pdf Springer US Springer US |
| spellingShingle | Chen, Ying Schuh, Christopher A Elasticity of Random Multiphase Materials: Percolation of the Stiffness Tensor |
| title | Elasticity of Random Multiphase Materials: Percolation of the Stiffness Tensor |
| title_full | Elasticity of Random Multiphase Materials: Percolation of the Stiffness Tensor |
| title_fullStr | Elasticity of Random Multiphase Materials: Percolation of the Stiffness Tensor |
| title_full_unstemmed | Elasticity of Random Multiphase Materials: Percolation of the Stiffness Tensor |
| title_short | Elasticity of Random Multiphase Materials: Percolation of the Stiffness Tensor |
| title_sort | elasticity of random multiphase materials percolation of the stiffness tensor |
| url | http://hdl.handle.net/1721.1/105194 https://orcid.org/0000-0001-9856-2682 |
| work_keys_str_mv | AT chenying elasticityofrandommultiphasematerialspercolationofthestiffnesstensor AT schuhchristophera elasticityofrandommultiphasematerialspercolationofthestiffnesstensor |