Interaction energy of interface dislocation loops in piezoelectric bi-crystals
Interface dislocations may dramatically change the electric properties, such as polarization, of the piezoelectric crystals. In this paper, we study the linear interactions of two interface dislocation loops with arbitrary shape in generally anisotropic piezoelectric bi-crystals. A simple formula fo...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2017-03-01
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| Series: | Theoretical and Applied Mechanics Letters |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2095034917300119 |
| _version_ | 1828392504909627392 |
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| author | Jianghong Yuan Yin Huang Weiqiu Chen Ernian Pan |
| author_facet | Jianghong Yuan Yin Huang Weiqiu Chen Ernian Pan |
| author_sort | Jianghong Yuan |
| collection | DOAJ |
| description | Interface dislocations may dramatically change the electric properties, such as polarization, of the piezoelectric crystals. In this paper, we study the linear interactions of two interface dislocation loops with arbitrary shape in generally anisotropic piezoelectric bi-crystals. A simple formula for calculating the interaction energy of the interface dislocation loops is derived and given by a double line integral along two closed dislocation curves. Particularly, interactions between two straight segments of the interface dislocations are solved analytically, which can be applied to approximate any curved loop so that an analytical solution can be also achieved. Numerical results show the influence of the bi-crystal interface as well as the material orientation on the interaction of interface dislocation loops. |
| first_indexed | 2024-12-10T07:22:15Z |
| format | Article |
| id | doaj.art-09ae8cb5e77d4518a0c9aa1b05204d3c |
| institution | Directory Open Access Journal |
| issn | 2095-0349 |
| language | English |
| last_indexed | 2024-12-10T07:22:15Z |
| publishDate | 2017-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Theoretical and Applied Mechanics Letters |
| spelling | doaj.art-09ae8cb5e77d4518a0c9aa1b05204d3c2022-12-22T01:57:47ZengElsevierTheoretical and Applied Mechanics Letters2095-03492017-03-0172768010.1016/j.taml.2017.02.002Interaction energy of interface dislocation loops in piezoelectric bi-crystalsJianghong Yuan0Yin Huang1Weiqiu Chen2Ernian Pan3State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu, Sichuan 610031, ChinaCenter for Mechanics and Materials, and AML, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, ChinaDepartment of Engineering Mechanics, Zhejiang University, Hangzhou 310027, ChinaDepartment of Civil Engineering, and Department of Applied Mathematics, University of Akron, Akron, OH 44325, USAInterface dislocations may dramatically change the electric properties, such as polarization, of the piezoelectric crystals. In this paper, we study the linear interactions of two interface dislocation loops with arbitrary shape in generally anisotropic piezoelectric bi-crystals. A simple formula for calculating the interaction energy of the interface dislocation loops is derived and given by a double line integral along two closed dislocation curves. Particularly, interactions between two straight segments of the interface dislocations are solved analytically, which can be applied to approximate any curved loop so that an analytical solution can be also achieved. Numerical results show the influence of the bi-crystal interface as well as the material orientation on the interaction of interface dislocation loops.http://www.sciencedirect.com/science/article/pii/S2095034917300119Interface dislocationPiezoelectric bi-crystalsAnisotropic elasticityInteraction energy |
| spellingShingle | Jianghong Yuan Yin Huang Weiqiu Chen Ernian Pan Interaction energy of interface dislocation loops in piezoelectric bi-crystals Theoretical and Applied Mechanics Letters Interface dislocation Piezoelectric bi-crystals Anisotropic elasticity Interaction energy |
| title | Interaction energy of interface dislocation loops in piezoelectric bi-crystals |
| title_full | Interaction energy of interface dislocation loops in piezoelectric bi-crystals |
| title_fullStr | Interaction energy of interface dislocation loops in piezoelectric bi-crystals |
| title_full_unstemmed | Interaction energy of interface dislocation loops in piezoelectric bi-crystals |
| title_short | Interaction energy of interface dislocation loops in piezoelectric bi-crystals |
| title_sort | interaction energy of interface dislocation loops in piezoelectric bi crystals |
| topic | Interface dislocation Piezoelectric bi-crystals Anisotropic elasticity Interaction energy |
| url | http://www.sciencedirect.com/science/article/pii/S2095034917300119 |
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