中国物理B ›› 2000, Vol. 9 ›› Issue (4): 294-303.doi: 10.1088/1009-1963/9/4/009

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇    下一篇

AXISYMMETRIC ELASTICITY PROBLEM OF CUBIC QUASICRYSTAL

周旺民, 范天佑   

  1. Research Center of Materials Science, Beijing Institute of Technology, Beijing 100081, China
  • 收稿日期:1999-09-28 出版日期:2005-06-12 发布日期:2005-06-12
  • 基金资助:
    Project supported by the Research Fund of Doctoral Program of Higher Education and National Natural Science Foundation of China.

AXISYMMETRIC ELASTICITY PROBLEM OF CUBIC QUASICRYSTAL

Zhou Wang-min (周旺民), Fan Tian-you (范天佑)   

  1. Research Center of Materials Science, Beijing Institute of Technology, Beijing 100081, China
  • Received:1999-09-28 Online:2005-06-12 Published:2005-06-12
  • Supported by:
    Project supported by the Research Fund of Doctoral Program of Higher Education and National Natural Science Foundation of China.

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摘要： A method for analyzing the elasticity problem of cubic quasicrystal is developed. The axisymmetric elasticity problem of cubic quasicrystal is reduced to a single higher-order partial differential equation by introducing a displacement function. As an example, the solutions of elastic field of cubic quasicrystal with a penny-shaped crack are obtained, and the stress intensity factor and strain energy release rate are determined.

Abstract: A method for analyzing the elasticity problem of cubic quasicrystal is developed. The axisymmetric elasticity problem of cubic quasicrystal is reduced to a single higher-order partial differential equation by introducing a displacement function. As an example, the solutions of elastic field of cubic quasicrystal with a penny-shaped crack are obtained, and the stress intensity factor and strain energy release rate are determined.

中图分类号:  (Partial differential equations)

  • 02.30.Jr
61.44.Br (Quasicrystals) 62.20.D- (Elasticity) 62.20.M- (Structural failure of materials)