The Refined Theory of Axisymmetric Circular Cylinder in One-Dimensional Hexagonal Quasicrystals

Abstract:

A refined theory of axisymmetric cylinder in one-dimensional (1D) hexagonal quasicrystals (QCs) is analyzed. Based on elastic theory with 1D hexagonal QCs, the refined theory of axisymmetric cylinder is derived by using general solution of 1D hexagonal QCs and Lur’e method without ad hoc assumptions. At first, expressions were obtained for all the phonon and phason displacements and stress components in term of the three functions with single independent variable. Based on the boundary conditions, the refined equation for the cylinder is derived directly. And the approximate equation is accurate up to the second-order terms with respect to radius of circular cylinder.

• Periodical: Applied Mechanics and Materials (Volumes 217-219)
• Pages: 1421-1424
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.217-219.1421
• Online since: November 2012
• Authors: Bao Sheng Zhao, Di Wu
• Keywords: Axisymmetric Deformation, Bessel's Function, Circular Cylinder, One-Dimensional Hexagonal Quasicrystal, Refined Theory

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