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Journal of Zhejiang University SCIENCE A 2001 Vol.2 No.2 P.146~151

http://doi.org/10.1631/jzus.2001.0146


A PENNY-SHAPED CRACK IN AN INFINITE PIEZOELECTRIC BODY UNDER ANTISYMMETRIC POINT LOADS


Author(s):  HOU Peng-fei, DING Hao-jiang, GUAN Fu-ling

Affiliation(s):  Centre for Spatial Structures,College of Architectural Engineering, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s): 

Key Words:  transversely isotropic piezoelectric body, penny-shaped crack, point force, point charge


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HOU Peng-fei, DING Hao-jiang, GUAN Fu-ling. A PENNY-SHAPED CRACK IN AN INFINITE PIEZOELECTRIC BODY UNDER ANTISYMMETRIC POINT LOADS[J]. Journal of Zhejiang University Science A, 2001, 2(2): 146~151.

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journal="Journal of Zhejiang University Science A",
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publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2001.0146"
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Abstract: 
In this study, Fabrikant (1989, 1991)'s new results in potential theory were used to obtain the exact and complete solution for the problem of a penny-shaped crack in an infinite transversely isotropic piezoelectric body subjected to antisymmetric point loads (point charges and normal point forces); then the complete solution for the problem of one-sided loading of a penny-shaped crack was obtained by the superposition of the symmetric loading solution in Chen and Shioya (1999) and the antisymmetric one presented here; and then the reciprocity theorem of piezoelectric media was used to deal with the problem of interaction between arbitrarily located point forces and a point charge with a penny-shaped crack and obtained the exact expressions of the crack faces' normal displacement in terms of elementary functions and some non-singular integrals; and finally obtained the normal displacement of the positive and negative faces of the crack under many loading cases as shown in figures for an infinite PZT-4 piezoelectric ceramic body weakened by a penny-shaped crack.

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Reference

[1] Chen, W. Q. and Shioya, T. S., 1999. Fundamental solution for a penny-shaped crack in a piezoelectric medium. Journal of Mechanics and Physics of Solids, 47: 1459-1475.

[2] Ding, H. J., Chen, B. and Liang, J., 1996. General Solutions for Coupled Equations for Piezoelectric Media. Int. J. Solids Structures. 33: 2283-2298.

[3] Ding, H. J., Hou, P. F., and Guo, F. L., 2000. The Elastic and Electric Fields for Three-Dimensional Contact for Transversely Isotropic Piezoelectric Materials, Int. J. Solids Structures. 37: 3201-3229.

[4] Fabrikant, V. I., 1989. Applications of Potential Theory in Mechanics: A Selection of New Results. Kluwer Academic Publishers, The Netherlands.

[5] Fabrikant, V. I., 1991. Mixed Boundary Value Problems of Potential Theory and Their Applications in Engineering. Kluwer Academic Publishers, The Netherlands.

[6] Hou, P. F., 2000. Three-Dimensional Contact and Fracture of Piezoelectric Bodies. Ph. D Thesis, Zhejiang University.

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