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

doi:10.1007/s10483-013-1652-6

Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (1): 45-62.doi: https://doi.org/10.1007/s10483-013-1652-6

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

FANG Qi-Hong^1,2, FENG Hui^1,2, LIU You-Wen^1,2

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

Received:2011-11-17 Revised:2012-09-06 Online:2013-01-03 Published:2013-01-03
Contact: Qi-hong FANG E-mail:fangqh1327@tom.com
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)

Abstract

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).

Key words: composite material, dislocation, piezoelectricity, mechanical property, rotating fluids, motion of body, small disturbances, stability

FANG Qi-Hong;FENG Hui;LIU You-Wen. Electroelastic interaction between piezoelectric screw dislocation and circularly layered inclusion with imperfect interfaces. Applied Mathematics and Mechanics (English Edition), 2013, 34(1): 45-62.

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References

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

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