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Acta Mechanica
Published in: Acta Mechanica 3/2020

14-12-2019 | Original Paper

Anti-plane crack problem of a functionally graded piezoelectric materials strip with arbitrarily distributed properties

Authors: Zhi-hai Wang, Yuan-jie Kong, Feng-yun Sun, Tao Zeng, Xiao-hong Wang, Guo-dong Xu

Published in: Acta Mechanica | Issue 3/2020

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Abstract

This paper treats the anti-plane crack problem of a functionally graded piezoelectric material (FGPM) strip with arbitrarily distributed properties. It is assumed that the elastic stiffness, piezoelectric constant, and dielectric constant of the FGPM vary continuously along the thickness of the medium, and the strip is under anti-plane mechanical and in-plane electric impact loadings. By using the Fourier transform and defining unknown discontinuous functions across the crack surfaces, the anti-plane crack problem of FGPM is reduced to a group of singular integral equations, which are solved numerically. The stress and electric displacement intensity factors are presented, and the influences of the nonhomogeneous and geometric parameters on stress and electric displacement intensity factors are also included.
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Metadata
Title
Anti-plane crack problem of a functionally graded piezoelectric materials strip with arbitrarily distributed properties
Authors
Zhi-hai Wang
Yuan-jie Kong
Feng-yun Sun
Tao Zeng
Xiao-hong Wang
Guo-dong Xu
Publication date
14-12-2019
Publisher
Springer Vienna
Published in
Acta Mechanica / Issue 3/2020
Print ISSN: 0001-5970
Electronic ISSN: 1619-6937
DOI
https://doi.org/10.1007/s00707-019-02585-7

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