Journal article
The Refined Theory of One-Dimensional Quasi-Crystals in Thick Plate Structures
Publication Details
Authors: | Gao, Y.; Ricoeur, A. |
Publication year: | 2011 |
Journal: | Journal of Applied Mechanics |
Pages range : | 031021 |
Volume number: | 78 |
Issue number: | 3 |
Number of pages: | 7 |
ISSN: | 0021-8936 |
DOI-Link der Erstveröffentlichung: |
Abstract
For one-dimensional quasi-crystals, the refined theory of thick plates is explicitly established from the general solution of quasi-crystals and the Lureacute 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. [DOI: 10.1115/1.4003367]
For one-dimensional quasi-crystals, the refined theory of thick plates is explicitly established from the general solution of quasi-crystals and the Lureacute 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. [DOI: 10.1115/1.4003367]
Keywords
one-dimensional quasi-crystals, the refined theory, thick plates, torsion problem
