Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (6): 720-726.

• Articles • Previous Articles     Next Articles

CRACK PROBLEM UNDER SHEAR LOADING IN CUBIC QUASICRYSTAL

ZHOU Wang-min1,2, FAN Tian-you3, YIN Shu-yuan1   

  1. 1. Department of Mathematics and Physics, Hebei Institute of Architectural Science & Technology, Handan, Hebei 056038, P. R. China;
    2. Functional Materials Division, Central Iron & Steel Research Institute, Beijing 100081, P. R. China;
    3. Department of Applied Physics, Beijing Institute of Technology, Beijing 100081, P. R. China
  • Received:2001-05-08 Revised:2003-02-19 Online:2003-06-18 Published:2003-06-18
  • Supported by:
    the National Natural Science Foundation of China(19972011)

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.

2010 MSC Number: 

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