Green function and its application for a piezoelectric plate with various openings |
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Authors: | Q-H Qin |
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Institution: | (1) Dept. of Mechanical Engineering, University of Sydney, NSW 2006, Australia, AU |
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Abstract: | Summary For a two-dimensional piezoelectric plate subjected to mechanical and electric load, a Green function satisfying traction
free and exact electric boundary conditions along a hole is developed using Lekhnitskii's formalism and the technique of conformal
mapping. The critical points for the mapping function used is investigated numerically, and the study indicates that the transformation
of a polygonal hole in a piezoelectric plate into a unit circle is nonsingle-valued. A simple approach is presented to treat
such a situation. Based on the Green function developed in this paper, a system of singular integral equations for the unknown
dislocation defined on crack faces is presented to study the interaction between cracks and holes. Numerical results are presented
to elucidate the effects of crack orientation on stress and electric displacement (SED) intensity factors and to illustrate
the application of the proposed formulation.
Received 4 June 1998, accepted for publication 15 July 1988 |
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Keywords: | Piezoelectric plate Green function crack stress intensity factor integral equation method |
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