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Received: 2000-05-28
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A PENNY-SHAPED CRACK IN AN INFINITE PIEZOELECTRIC BODY UNDER ANTISYMMETRIC POINT LOADS
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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.
@article{title="A PENNY-SHAPED CRACK IN AN INFINITE PIEZOELECTRIC BODY UNDER ANTISYMMETRIC POINT LOADS",
author="HOU Peng-fei, DING Hao-jiang, GUAN Fu-ling",
journal="Journal of Zhejiang University Science A",
volume="2",
number="2",
pages="146-151",
year="2001",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2001.0146"
}
%0 Journal Article
%T A PENNY-SHAPED CRACK IN AN INFINITE PIEZOELECTRIC BODY UNDER ANTISYMMETRIC POINT LOADS
%A HOU Peng-fei
%A DING Hao-jiang
%A GUAN Fu-ling
%J Journal of Zhejiang University SCIENCE A
%V 2
%N 2
%P 146-151
%@ 1869-1951
%D 2001
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2001.0146
TY - JOUR
T1 - A PENNY-SHAPED CRACK IN AN INFINITE PIEZOELECTRIC BODY UNDER ANTISYMMETRIC POINT LOADS
A1 - HOU Peng-fei
A1 - DING Hao-jiang
A1 - GUAN Fu-ling
J0 - Journal of Zhejiang University Science A
VL - 2
IS - 2
SP - 146
EP - 151
%@ 1869-1951
Y1 - 2001
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2001.0146
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.
[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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