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

doi:10.1088/1674-1056/20/11/116201

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

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)^†

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/Abstract

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 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.

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 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.

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)

李梧. Analytic solutions to a finite width strip with a single edge crack of two-dimensional quasicrystals[J]. 中国物理B, 2011, 20(11): 116201-116201.

Li Wu(李梧) . Analytic solutions to a finite width strip with a single edge crack of two-dimensional quasicrystals[J]. Chin. Phys. B, 2011, 20(11): 116201-116201.

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

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

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