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

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

方棋洪^1,2，冯慧^1,2，刘又文^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

收稿日期:2011-11-17 修回日期:2012-09-06 出版日期:2013-01-03 发布日期:2013-01-03
通讯作者: 方棋洪 E-mail:fangqh1327@tom.com
基金资助:
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)

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)

摘要/Abstract

摘要： 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).

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

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

方棋洪冯慧刘又文. Electroelastic interaction between piezoelectric screw dislocation and circularly layered inclusion with imperfect interfaces[J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(1): 45-62.

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

参考文献

[1] Deng, W. F. The Analysis of Dislocation, Crack, and Inclusion Problems in Piezoelectric Solids, Ph. D. dissertation, Standford University (1980)

[2] Pak, Y. E. Force on a piezoelectric screw dislocation. Journal of Applied Mechanics, 57, 863–869 (1990)

[3] Xiao, Z. M., Yan, J., and Chen, B. J. Electroelastic analysis for a Griffith crack interacting with acoated inclusion in piezoelectric solid. International Journal of Engineering Science, 43, 639–654 (2005)

[4] Kattis, M. A., Providas, E., and Kalamkarov, A. L. Two-phase potentials in the analysis of smart composites having piezoelectrical components. Composites Part B, 29, 9–14 (1998)

[5] Lu, P. and Williams, F. W. Green functions of piezoelectric material with an elliptic hole or inclusion. International Journal of Solids and Structures, 35, 651–664 (1998)

[6] Meguid, S. A. and Deng, W. Electro-elastic interaction between a screw dislocation and an ellip- tical inhomogeneity in piezoelectric materials. International Journal of Solids and Structures, 35,
1467–1482 (1998)

[7] Huang, Z. and Kuang, Z. B. Dislocation inside a piezoelectric media with an elliptic inhomogeneity. International Journal of Solids and Structures, 38, 8459–8479 (2001)

[8] Shen, M. H., Chen, S. N., and Chen, F. M. A piezoelectric screw dislocation interacting with a nonuniformly coated circular inclusion. International Journal of Engineering Science, 44, 1–13 (2006)

[9] Liu, Y. W., Fang, Q. H., and Jiang, C. P. Analysis of a piezoelectric screw dislocation in the interphase layer between a circular inclusion and an unbounded matrix. Materials Chemistry and Physics, 98, 14–26 (2006)

[10] Shen, M. H. A magnetoelectric screw dislocation interacting with a circular layered inclusion. European Journal of Mechanics A/Solids, 27, 429–442 (2008)

[11] Benveniste, Y. and Miloh, T. The effective conductivity of composites with imperfect thermal contact at constituent interfaces. International Journal of Engineering Science, 24, 1537–1552 (1986)

[12] Hashin, Z. Thin interphase/imperfect interface in conduction. Journal of Applied Physiology, 89,
2262–2268 (2001)

[13] Shen, H., Schiavone, P., Ru, C. Q., and Mioduchowski, A. Analysis of internal stress in an elliptic inclusion with imperfect in plane elasticity. Mathematics and Mechanics of Solids, 5, 501–521 (2000)

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

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

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