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Research Papers

The Refined Theory of One-Dimensional Quasi-Crystals in Thick Plate Structures

[+] Author and Article Information
Yang Gao1

Institute of Mechanics, University of Kassel, Kassel D-34125, Germanygaoyangg@gmail.com

Andreas Ricoeur

Institute of Mechanics, University of Kassel, Kassel D-34125, Germanyandreas.ricoeur@uni-kassel.de

1

Corresponding author.

J. Appl. Mech 78(3), 031021 (Feb 17, 2011) (7 pages) doi:10.1115/1.4003367 History: Received April 19, 2010; Revised November 21, 2010; Posted January 05, 2011; Published February 17, 2011; Online February 17, 2011

For one-dimensional quasi-crystals, the refined theory of thick plates is explicitly established from the general solution of quasi-crystals and the Luré method without employing ad hoc stress or deformation assumptions. For a homogeneous plate, the exact equations and solutions are derived, which consist of three parts: the biharmonic part, the shear part, and the transcendental part. For a nonhomogeneous plate, the exact governing differential equations and solutions under pure normal loadings and pure shear loadings, respectively, are obtained directly from the refined plate theory. In an illustrative example, explicit expressions of analytical solutions are obtained for torsion of a rectangular quasi-crystal plate.

Copyright © 2011 by American Society of Mechanical Engineers
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