EXACT SOLUTION TO THE PROBLEM OF A HALF-PLANE CRACK IN A TRANSVERSELY ISOTROPIC PIEZOELECTRIC BODY SUBJECTED TO ANTISYMMETRIC TANGENTIAL POINT FORCES |
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Authors: | Hou Pengfei Ding Haojiang Guan Fuling |
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Institution: | (1) Department of Civil Engineering, Zhejiang University, 310027 Hangzhou, China |
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Abstract: | An exact and complete solution of the problem of a half-plane crack in an infinite transversely isotropic piezoelectric body
is presented. The upper and lower crack faces are assumed to be loaded antisymmetrically by a couple of tangential point forces
in opposite directions. The solution is derived through a limiting procedure from that of a penny-shaped crack. The expressions
for the electroelastic field are given in terms of elementary functions. Finally, the numerical results of the second and
third mode stress intensity factorsk
2 andk
3 of piezoelectric materials and elastic materials are compared in figures.
Project supported by the National Natural Science Foundation of China (No. 19872060 and 69982009) and the Postdoctoral Foundation
of China. |
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Keywords: | half-plane crack transversely isotropic piezoelectric body antisymmetric tangential forces |
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