中国物理B ›› 2011, Vol. 20 ›› Issue (11): 116201-116201.doi: 10.1088/1674-1056/20/11/116201

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

Analytic solutions to a finite width strip with a single edge crack of two-dimensional quasicrystals

李梧   

  1. Institute of Applied Mathematics, Xuchang University, Xuchang 461000, China
  • 收稿日期:2011-04-12 修回日期:2011-06-14 出版日期:2011-11-15 发布日期:2011-11-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 10802043).

Analytic solutions to a finite width strip with a single edge crack of two-dimensional quasicrystals

Li Wu(李梧)   

  1. Institute of Applied Mathematics, Xuchang University, Xuchang 461000, China
  • Received:2011-04-12 Revised:2011-06-14 Online:2011-11-15 Published:2011-11-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 10802043).

摘要: In this paper, we investigate the well-known problem of a finite width strip with a single edge crack, which is useful in basic engineering and material science. By extending the configuration to a two-dimensional decagonal quasicrystal, we obtain the analytic solutions of modes I and II using the transcendental function conformal mapping technique. Our calculation results provide an accurate estimate of the stress intensity factors KI and KII, which can be expressed in a quite simple form and are essential in the fracture theory of quasicrystals. Meanwhile, we suggest a generalized cohesive force model for the configuration to a two-dimensional decagonal quasicrystal. The results may provide theoretical guidance for the fracture theory of two-dimensional decagonal quasicrystals.

Abstract: In this paper, we investigate the well-known problem of a finite width strip with a single edge crack, which is useful in basic engineering and material science. By extending the configuration to a two-dimensional decagonal quasicrystal, we obtain the analytic solutions of modes I and II using the transcendental function conformal mapping technique. Our calculation results provide an accurate estimate of the stress intensity factors KI and KII, which can be expressed in a quite simple form and are essential in the fracture theory of quasicrystals. Meanwhile, we suggest a generalized cohesive force model for the configuration to a two-dimensional decagonal quasicrystal. The results may provide theoretical guidance for the fracture theory of two-dimensional decagonal quasicrystals.

Key words: transcendental function conformal mapping, quasicrystal, stress intensity factor

中图分类号:  (Elasticity)

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