The Generalized Twist for the Torsion of Piezoelectric Cylinders

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 T, define a functional τ(u) on Q such that T=Kτ(u), for each u∈Q, where Q is the set of all displacement fields that correspond...

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Bibliographic Details
Main Authors: István Ecsedi, Attila Baksa
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Modelling and Simulation in Engineering
Online Access:http://dx.doi.org/10.1155/2017/3634520
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Summary: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 T, define a functional τ(u) on Q such that T=Kτ(u), for each u∈Q, where Q is the set of all displacement fields that correspond to the solutions of the torsion problem and K 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.
ISSN:1687-5591
1687-5605