A Three-Dimensional Asymptotic Theory of Laminated Piezoelectric Shells

An asymptotic theory of doubly curved laminated piezoelectric shells is developed on the basis of three-dimensional (3D) linear piezoelectricity. The twenty-two basic equations of 3D piezoelectricity are firstly reduced to eight differential equations in terms of eight primary variables of elastic a...

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Bibliographic Details
Published in:Computers, materials & continua materials & continua, 2005-06, Vol.2 (2), p.119
Main Authors: Wu, Chih-Ping, Lo, Jyh-Yeuan, Chao, Jyh-Ka
Format: Article
Language:English
Subjects:
Asymptotic series
Differential equations
Electric fields
Laminates
Mathematical analysis
Piezoelectricity
Shell theory
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Summary:An asymptotic theory of doubly curved laminated piezoelectric shells is developed on the basis of three-dimensional (3D) linear piezoelectricity. The twenty-two basic equations of 3D piezoelectricity are firstly reduced to eight differential equations in terms of eight primary variables of elastic and electric fields. By means of nondimensionalization, asymptotic expansion and successive integration, we can obtain recurrent sets of governing equations for various order problems. The two-dimensional equations in the classical laminated piezoelectric shell theory (CST) are derived as a first-order approximation to the 3D piezoelectricity. Higher-order corrections as well as the first-order solution can be determined by treating the CST equations at multiple levels in a systematic and consistent way. Several benchmark solutions for various piezoelectric laminates are given to demonstrate the performance of the theory.
ISSN:1546-2218
1546-2226
DOI:10.3970/cmc.2005.002.119