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Electroelastic interaction between piezoelectric screw dislocation and circularly layered inclusion with imperfect interfaces

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Abstract

The interaction between a piezoelectric screw dislocation and an interphase layer in piezoelectric solids is theoretically investigated. Here, the dislocation located at arbitrary points inside either the matrix or the inclusion and the interfaces of the interphase layer are imperfect. By the complex variable method, the explicit solutions to the complex potentials are given, and the electroelastic fields can be derived from them. The image force acting on the dislocation can be obtained by the generalized Peach-Koehler formula. The motion of the piezoelectric screw dislocation and its equilibrium positions are discussed for variable parameters. The important results show that, if the inner interface of the interphase layer is imperfect and the magnitude of degree of the interface imperfection reaches the certain value, two equilibrium positions of the piezoelectric screw dislocation in the matrix near the interface are found for the certain material combination which has never been observed in the previous studies (without considering the interface imperfection).

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Authors and Affiliations

  1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082, P. R. China

    Qi-hong Fang  (方棋洪), Hui Feng  (冯 慧) & You-wen Liu  (刘又文)

  2. College of Mechanical and Vehicle Engineering, Hunan University, Changsha, 410082, P. R. China

    Qi-hong Fang  (方棋洪), Hui Feng  (冯 慧) & You-wen Liu  (刘又文)

Authors
  1. Qi-hong Fang  (方棋洪)
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  2. Hui Feng  (冯 慧)
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  3. You-wen Liu  (刘又文)
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Correspondence to Qi-hong Fang  (方棋洪).

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 11172094 and 11172095), the Program for New Century Excellent Talents in University of China (No.NCET-11-0122), the Science Fund of State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body (Nos. 61075005 and 51075001), and the Hunan Provincial Natural Science Foundation for Creative Research Groups of China (No. 12JJ7001)

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Fang, Qh., Feng, H. & Liu, Yw. Electroelastic interaction between piezoelectric screw dislocation and circularly layered inclusion with imperfect interfaces. Appl. Math. Mech.-Engl. Ed. 34, 45–62 (2013). https://doi.org/10.1007/s10483-013-1652-6

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  • DOI: https://doi.org/10.1007/s10483-013-1652-6

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Chinese Library Classification

2010 Mathematics Subject Classification

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