Determining the Burgers vectors and elastic strain energies of interface dislocation arrays using anisotropic elasticity theory
A formalism for describing interface dislocation arrays linking the Frank–Bilby equation and anisotropic elasticity theory under the condition of vanishing far-field stresses is developed. The present approach enables the determination of a unique reference state for interface misfit dislocations, w...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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Elsevier
2016
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| Online Access: | http://hdl.handle.net/1721.1/101913 https://orcid.org/0000-0003-3949-0441 |
| _version_ | 1826189397797634048 |
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| author | Vattre, Aurelien J. Demkowicz, Michael J. |
| author2 | Massachusetts Institute of Technology. Department of Materials Science and Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Materials Science and Engineering Vattre, Aurelien J. Demkowicz, Michael J. |
| author_sort | Vattre, Aurelien J. |
| collection | MIT |
| description | A formalism for describing interface dislocation arrays linking the Frank–Bilby equation and anisotropic elasticity theory under the condition of vanishing far-field stresses is developed. The present approach enables the determination of a unique reference state for interface misfit dislocations, within which the Burgers vectors of individual dislocations are defined and allows for the unequal partitioning of elastic fields between neighboring crystals. The elastic strain energies of interface dislocation arrays are computed using solutions for short-range elastic fields. Examples of applications to simple interfaces are given, namely symmetric tilt and twist grain boundaries, as well as a pure misfit heterophase interface. |
| first_indexed | 2024-09-23T08:14:05Z |
| format | Article |
| id | mit-1721.1/101913 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:14:05Z |
| publishDate | 2016 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | mit-1721.1/1019132022-09-23T11:50:44Z Determining the Burgers vectors and elastic strain energies of interface dislocation arrays using anisotropic elasticity theory Vattre, Aurelien J. Demkowicz, Michael J. Massachusetts Institute of Technology. Department of Materials Science and Engineering Demkowicz, Michael J. Vattre, Aurelien J. Demkowicz, Michael J. A formalism for describing interface dislocation arrays linking the Frank–Bilby equation and anisotropic elasticity theory under the condition of vanishing far-field stresses is developed. The present approach enables the determination of a unique reference state for interface misfit dislocations, within which the Burgers vectors of individual dislocations are defined and allows for the unequal partitioning of elastic fields between neighboring crystals. The elastic strain energies of interface dislocation arrays are computed using solutions for short-range elastic fields. Examples of applications to simple interfaces are given, namely symmetric tilt and twist grain boundaries, as well as a pure misfit heterophase interface. United States. Dept. of Energy. Office of Basic Energy Sciences (Award 2008LANL1026) National Science Foundation (U.S.) (Grant 1150862) 2016-03-29T19:13:42Z 2016-03-29T19:13:42Z 2013-06 2013-05 Article http://purl.org/eprint/type/JournalArticle 13596454 1873-2453 http://hdl.handle.net/1721.1/101913 Vattre, A.J., and M.J. Demkowicz. “Determining the Burgers Vectors and Elastic Strain Energies of Interface Dislocation Arrays Using Anisotropic Elasticity Theory.” Acta Materialia 61, no. 14 (August 2013): 5172–5187. https://orcid.org/0000-0003-3949-0441 en_US http://dx.doi.org/10.1016/j.actamat.2013.05.006 Acta Materialia Creative Commons Attribution-NonCommercial-NoDerivs License http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier Prof. Demkowicz via Angie Locknar |
| spellingShingle | Vattre, Aurelien J. Demkowicz, Michael J. Determining the Burgers vectors and elastic strain energies of interface dislocation arrays using anisotropic elasticity theory |
| title | Determining the Burgers vectors and elastic strain energies of interface dislocation arrays using anisotropic elasticity theory |
| title_full | Determining the Burgers vectors and elastic strain energies of interface dislocation arrays using anisotropic elasticity theory |
| title_fullStr | Determining the Burgers vectors and elastic strain energies of interface dislocation arrays using anisotropic elasticity theory |
| title_full_unstemmed | Determining the Burgers vectors and elastic strain energies of interface dislocation arrays using anisotropic elasticity theory |
| title_short | Determining the Burgers vectors and elastic strain energies of interface dislocation arrays using anisotropic elasticity theory |
| title_sort | determining the burgers vectors and elastic strain energies of interface dislocation arrays using anisotropic elasticity theory |
| url | http://hdl.handle.net/1721.1/101913 https://orcid.org/0000-0003-3949-0441 |
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