Boundary Conditions for Axisymmetric Circular Cylinder of Cubic Quasicrystal

Abstract:

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Through generalizing the method of a decay analysis technique determining the interior solution developed by Gregory and Wan, a set of necessary conditions on the end-data of axisymmetric circular cylinder in cubic quasicrystal for the existence of a rapidly decaying solution is established. By accurate solutions for auxiliary regular state, using the reciprocal theorem, these necessary conditions for the end-data to induce only a decaying elastostatic state (boundary layer solution) will be translated into appropriate boundary conditions for the circular cylinder with axisymmetric deformations in cubic quasicrystal. The results of the present paper enable us to establish a set of correct boundary conditions, and mix boundary conditions of which are obtained for the first time.

Info:

Periodical:

Advanced Materials Research (Volumes 160-162)

Edited by:

Guojun Zhang and Jessica Xu

Pages:

204-209

DOI:

10.4028/www.scientific.net/AMR.160-162.204

Citation:

B. S. Zhao et al., "Boundary Conditions for Axisymmetric Circular Cylinder of Cubic Quasicrystal", Advanced Materials Research, Vols. 160-162, pp. 204-209, 2011

Online since:

November 2010

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Price:

$35.00

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