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Journal of Zhejiang University SCIENCE A
ISSN 1673-565X(Print), 1862-1775(Online), Monthly
2001 Vol.2 No.1 P.9-14
EXACT SOLUTION OF AN EXTERNAL CIRCULAR CRACK IN A PIEZOELECTRIC SOLID SUBJECTED TO SHEAR LOADING
Abstract: A three-dimensional, exact analysis is presented in this paper for the problem of an external circular crack in a transversely isotropic piezoelectric medium subjected to arbitrary antisymmetric shear loading. A recently proposed general solution of three-dimensional piezoelectricity is employed. It is shown that four quasi harmonic functions involved in the general solution can be represented by just one complex potential. Previous results in potential theory are then used to obtain the exact solution of the problem. For point shear loading, Green's functions for the elastoelectric field are derived in terms of elementary functions.
Key words: piezoelectric material, potential theory, external circular crack, exact solution
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DOI:
10.1631/jzus.2001.0009
CLC number:
O346, TB39
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Received:
2000-04-18
Revision Accepted:
2000-07-06
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