Green's function for thermopiezoelectric plates with holes of various shapes |
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| Authors: | Q-H Qin |
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| Institution: | (1) Department of Mechanical Engineering, University of Sydney, Sydney, NSW 2006, Australia, AU |
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| Abstract: | Summary Thermoelectroelastic problems for holes of various shapes embedded in an infinite matrix are considered in this paper. Based
on Lekhnitskii's formalism, the technique of conformal mapping and the exact electric boundary conditions on the hole boundary,
the thermoelectroelastic Green's function has been obtained analytically in terms of a complex potential. As an application
of the proposed function, the problem of an infinite plate containing a crack and a hole is analysed. A system of singular
integral equations for the unknown temperature discontinuity and the discontinuity of elastic displacement and electric potential
(EDEP) defined on crack faces is developed and solved numerically. Numerical results for stress and electric displacement
(SED) intensity factors of the crack-hole system are presented to illustrate the application of the proposed formulation.
Received 7 October 1998; accepted for publication 26 January 1999 |
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| Keywords: | Piezoelectricity Green's function thermal stress crack integral equation plate |
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