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Crack problem under shear loading in cubic quasicrystal

  • Zhou Wang-min
  • Fan Tian-you
  • Yin Shu-yuan
Article

Abstract

The axisymmetric elasticity problem of cubic quasicrystal is reduced to a single higher-order partial differential equation by introducing a displacement function. Based on the work, the analytic solutions of elastic field of cubic quasicrystal with a penny-shaped crack under the shear loading are found, and the stress intensity factor and strain energy release rate are determined.

Key words

cubic quasicryastal shear crack stress intensity factor 

Chinese Library Classification

O346.1 O346.1+

2000 MR Subject Classification

35Q72 74B99 74R10 

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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2003

Authors and Affiliations

  • Zhou Wang-min
    • 1
    • 2
  • Fan Tian-you
    • 3
  • Yin Shu-yuan
    • 1
  1. 1.Department of Mathematics and PhysicsHebei Institute of Architectural Science & TechnologyHandan, HebeiP. R. China
  2. 2.Functional Materials DivisionCentral Iron & Steel Research InstituteBeijingP.R. China
  3. 3.Department of Applied PhysicsBeijing Institute of TechnologyBeijingP. R. China

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