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CLC number: O343.8

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Received: 2005-03-20

Revision Accepted: 2005-04-08

Crosschecked: 0000-00-00

Cited: 4

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Journal of Zhejiang University SCIENCE A 2005 Vol.6 No.9 P.967~973


A generalized plane strain theory for transversely isotropic piezoelectric plates

Author(s):  XU Si-peng, WANG Wei

Affiliation(s):  Department of Mechanics and Engineering Science, Peking University, Beijing 100871, China

Corresponding email(s):   xu_pku@163.com

Key Words:  Plane strain, Piezoelectric plate, Circular hole

XU Si-peng, WANG Wei. A generalized plane strain theory for transversely isotropic piezoelectric plates[J]. Journal of Zhejiang University Science A, 2005, 6(9): 967~973.

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Study of generalized plane strain has so far been limited to elasticity. The present is aimed at parallel development of transversely isotropic piezoelasticity. By assuming that the along depth distribution of electric potential is linear, and that commonly used Kane-Mindlin kinematical assumption is valid, two dimensional solution systems were deduced, for which, explicit solutions of the out-of-plane constraint factor, as well as the stress resultant concentration factor around a circular hole in a transversely isotropic piezoelectric plate subjected to remote biaxial tension are obtained. Comparisons of these formulas with their counterparts for elastic case yielded suggestions that whether the piezoelectric effect exacerbates or mitigates the stress resultant concentration greatly depends on material properties, particularly, the piezoelectric coefficients; the effect of plate thickness was extensively investigated.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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[9] Kotousov, A., Wang, C.H., 2003. A generalized plane-strain theory for transversally isotropic plates. Acta Mechanica, 161:53-64. Li, Z.H., Guo, W.L., Kuang, Z.B., 2000. Three-dimensional elastic stress fields near notches in finite thickness plates International Journal of Solids and Structures, 37:7617-7631.

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