The refined analysis about mechanical behavior for torsional circular shaft of cubic quasicrystal

Bao Sheng Zhao*, Yang Gao, Ying Tao Zhao

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Cheng's refined theory is extended to investigate torsional circular shaft of cubic quasicrystal, and Lur'e method about harmonic function is extended to harmonic function in the respective cylindrical coordinate. The refined theory of torsional circular shaft of cubic quasicrystal under reverse direction surface loading is proposed on the basis of the classical elasticity theory and stress-displacement relations of cubic quasicrystal, and the refined theory provides the solutions about torsional deformation of a circular shaft without ad hoc assumptions. Exact solutions are obtained for circular shaft from boundary conditions. Using Taylor series of the Bessel functions and then dropping all the terms associated with the higher-order terms, we obtain the approximate expressions for circular shaft of cubic quasicrystal under reverse direction surface. To illustrate the application of the theory developed, one example is examined.

Original languageEnglish
Title of host publicationAdvanced Materials Research
Pages83-87
Number of pages5
DOIs
Publication statusPublished - 2011
Event2011 International Conference on Advanced Material Research, ICAMR 2011 - Chongqing, China
Duration: 21 Jan 201123 Jan 2011

Publication series

NameAdvanced Materials Research
Volume213
ISSN (Print)1022-6680

Conference

Conference2011 International Conference on Advanced Material Research, ICAMR 2011
Country/TerritoryChina
CityChongqing
Period21/01/1123/01/11

Keywords

  • Cubic quasicrystal
  • Mechanical behavior
  • The circular shaft
  • The refined analysis
  • The torsional deformation

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