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

作者：Li Wu^*

来源：Chinese Physics B, 2011, 20(11): 116201.

DOI：10.1088/1674-1056/20/11/116201

• transcendental function conformal mapping
• quasicrystal
• stress intensity factor

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 K-I and K-II, 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.

• 出版日期2011-11
• 单位许昌学院