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Modelling and Simulation in Engineering
Volume 2017 (2017), Article ID 3634520, 7 pages
https://doi.org/10.1155/2017/3634520
Research Article

The Generalized Twist for the Torsion of Piezoelectric Cylinders

Institute of Applied Mechanics, University of Miskolc, Egyetemváros, Miskolc 3515, Hungary

Correspondence should be addressed to Attila Baksa; uh.cloksim-inu@askab.alitta

Received 20 March 2017; Accepted 11 May 2017; Published 15 June 2017

Academic Editor: Dimitrios E. Manolakos

Copyright © 2017 István Ecsedi and Attila Baksa. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In the classical theory of elasticity, Truesdell proposed the following problem: for an isotropic linearly elastic cylinder subject to end tractions equipollent to a torque , define a functional on such that , for each , where is the set of all displacement fields that correspond to the solutions of the torsion problem and depends only on the cross-section and the elastic properties of the considered cylinder. This problem has been solved by Day. In the present paper Truesdell’s problem is extended to the case of piezoelastic, monoclinic, and nonhomogeneous right cylinders.