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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
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.
Ding, H. J., Chen, B. and Liang, J., 1996. General Solutions for Coupled Equations for Piezoelectric Media.Int. J. Solids Structures.33: 2283–2298.
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.
Fabrikant, V. I., 1989. Applications of Potential Theory in Mechanics: A Selection of New Results. Kluwer Academic Publishers, The Netherlands.
Fabrikant, V. I., 1991. Mixed Boundary Value Problems of Potential Theory and Their Applications in Engineering. Kluwer Academic Publishers, The Netherlands.
Hou, P. F., 2000. Three-Dimensional Contact and Fracture of Piezoelectric Bodies. Ph. D Thesis, Zhejiang University.
Author information
Authors and Affiliations
Additional information
Project (19872060) supported by the Natural Science Foundation of China.
Rights and permissions
About this article
Cite this article
Peng-fei, H., Hao-jiang, D. & Fu-ling, G. A penny-shaped crack in an infinite piezoelectric body under antisymmetric point loads. J. Zhejiang Univ. Sci. A 2, 146–151 (2001). https://doi.org/10.1631/jzus.2001.0146
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1631/jzus.2001.0146