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

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

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.

Keywords: transcendental function conformal mapping quasicrystal stress intensity factor

Received: 12 April 2011
Revised: 14 June 2011
Accepted manuscript online:

PACS:	62.20.D-	(Elasticity)
	61.44.Br	(Quasicrystals)
	62.20.M-	(Structural failure of materials)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10802043).

Cite this article:

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

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

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