Paper Title:
The General Solution for Torsional Circular Shaft of Cubic Quasicrystal
  Abstract

Gregory’s decomposed theorem of isotropic plate is extended to investigate torsional circular shaft of cubic quasicrystal with homogeneous boundary conditions, and the theory of equivalence that Cheng’s refined theory and Gregory’s decomposed theorem is extended to the cylindrical coordinate. The general solution of torsional circular shaft on cubic quasicrystal with homogeneous boundary conditions is proposed on the basis of the classical elasticity theory and stress-displacement relations of cubic quasicrystal without ad hoc assumptions. At first expressions are obtained for all the displacements and stress components in term of some 1D functions. Using Lur’e method, the exact equations were given. And the exact equations for the torsional circular shaft on cubic quasicrystal without surface loadings consist of four governing differential equations: two harmonic equations and two transcendental equations. Using basic mathematic method and the general solutions, an example is examined.

  Info
Periodical
Edited by
Zhang Yushu
Pages
206-210
DOI
10.4028/www.scientific.net/AMR.213.206
Citation
B. S. Zhao, J. L. Shi, Y. T. Zhao, Y. Gao, "The General Solution for Torsional Circular Shaft of Cubic Quasicrystal", Advanced Materials Research, Vol. 213, pp. 206-210, 2011
Online since
February 2011
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