An antisymmetric problem of a penny-shaped crack in a piezoelectric medium |
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| Authors: | W Q Chen T Shioya H J Ding |
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| Institution: | (1) Department of Civil Engineering, Zhejiang University, Hangzhou, 310027, P.R. China e-mail: chenwq@rocketmail.com, CN;(2) Department of Aeronautics and Astronautics, The University of Tokyo, Tokyo, 113-8656, Japan, JP |
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| Abstract: | Summary An exact, three-dimensional analysis is developed for a penny-shaped crack in an infinite transversely isotropic piezoelectric
medium. The crack is assumed to be parallel to the plane of isotropy, with its faces subjected to a couple of concentrated
normal forces and a couple of point electric charges that are antisymmetric with respect to the crack plane. The fundamental
solution of a concentrated force and a point charge acting on the surface of a piezoelectric half-space is employed to derive
the integral equations for the general boundary value problem. For the above antisymmetric crack problem, complete expressions
for the elastoelectric field are obtained. A numerical calculation is finally performed to show the piezoelectric effect in
piezoelectric materials. It is noted here that the present analysis is an extension of Fabrikant's theory for elasticity.
Received 30 August 1999; accepted for publication 1 March 2000 |
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| Keywords: | Penny-shaped crack antisymmetric loading fundamental solution piezoelectric half-space integral equation |
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