Hostname: page-component-76fb5796d-25wd4 Total loading time: 0 Render date: 2024-04-27T04:28:34.520Z Has data issue: false hasContentIssue false
  • English
  • Français

Exact Solutions for Electroelastic Analysis of Generalized Plane Strain and Torsion of Piezoelectric Cylinders

Published online by Cambridge University Press:  05 May 2011

Jiann-Quo Tarn
Jiann-Quo Tarn*
Affiliation:
Department of Civil Engineering, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
*
*Professor
Get access

Abstract

Exact electroelastic analysis of hollow and solid circular cylinders subjected to a uniform temperature change and electromechanical loads that do not vary axially are presented. Generalized plane strain and torsion of a piezoelectric cylindrical body is formulated in a state space framework. Uniformly valid exact solutions are obtained for hollow and solid circular cylinders subjected to extension, torsion, pressuring, shearing, electric loadings and a uniform temperature change.

Keywords

PiezoelectricityCylindersGeneralized plane strainExtensionTorsion
Type
Articles
Information
Journal of Mechanics , Volume 17 , Issue 3 , September 2001 , pp. 149 - 156
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1Tiersten, H. F., Linear Piezoelectric Plate Vibrations, Plenum Press, New York (1969).Google Scholar
2Lekhnitskii, S. G., Theory of Elasticity of an Anisotropic Body, Mir, Moscow (1981).Google Scholar
3Ting, T. C. T., “Pressuring, shearing, torsion and extension of a circular tube or bar of a cylindrically anisotropic material,” Proc. R. Soc. Lond., A452, pp. 2397–2421 (1996).Google Scholar
4Ma, L. F., Chen, Y. H., Zhang, S. Y., “On the explicit formulatioins of circular tube, bar and shell of cylindrically piezoelectric material under pressuring loading,” Int. J. Eng. Sci., 349, pp. 369–385 (2001).CrossRefGoogle Scholar
5Ting, T. C. T. “New solutions to pressuring, shearing, torsion, and extension of a cylindrically anisotropic elastic circular tube or bar,” Proc. R. Soc. Lond., A455, pp. 3527–3542 (1999).CrossRefGoogle Scholar
6Nye, J. F., Physical Properties of Crystals, Oxford University Press, Oxford (1957).Google Scholar
7Tarn, J. Q., “Exact solutions for functionally graded anisotropic cylinders subjected to thermal and mechanical loads,” Int. J. Solids Struct., in press (2001).CrossRefGoogle Scholar
8Tarn, J. Q. and Wang, Y. M., “Laminated composite tubes under extension, torsion, bending, shearing and pressuring: a state space approach,” Int. J. Solids Struct., in press (2001).CrossRefGoogle Scholar
9Tarn, J. Q. and Wang, Y. M., “Heat conduction and thermal stress analysis of laminated composite tubes,” accepted for publication, Int. J. Solids Struct. (2001).Google Scholar
10Tarn, J. Q., “On the stress singularity in an elastic cylinder of cylindrically anisotropic materials,” submitted for publication (2001).Google Scholar