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Numerical Evaluation of Size Effect in Piezoelectric Micro-Beam with Linear Micromorphic Electroelastic Theory

Published online by Cambridge University Press:  22 May 2014

W.-Z. Cao ,
X.-H. Yang  and
X.-B. Tian
W.-Z. Cao
Affiliation:
Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
X.-H. Yang*
Affiliation:
Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
X.-B. Tian
Affiliation:
Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
*
*yangxinh@hust.edu.cn
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Abstract

The linear micromorphic electroelastic theory is proposed to solve bending problems of piezoelectric micro-beam in this paper. The basic governing equations with the boundary conditions are derived through the variational principle. Both the cantilever piezoelectric micro-beam subjected to a concentrated load at the free end and the simply supported micro-beam subjected to a distributed load are analyzed. It is found that the predictions from the micromorphic electroelastic theory are remarkably different from those from the classical theory when the micro-beam thickness is approximate or equal to the characteristic length scale parameter, but their difference is slight when the micro-beam thickness is much larger than the characteristic length scale parameter. As a result, it is concluded that the size effect is significant when the micro-beam thickness is comparable to the characteristic length scale parameter.

Keywords

Micromorphic electroelastic theoryPizeoelectric materialMicro-beamSize effect
Type
Research Article
Information
Journal of Mechanics , Volume 30 , Issue 5 , October 2014 , pp. 467 - 476
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

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