Elastic analysis of an elliptic notch in quasicrystals of point group 10 subjected to shear loading

doi:10.1088/1674-1056/19/4/046101

Abstract Based on the stress potential and complex variable function method, this paper makes an elastic analysis of an elliptic notch subjected to uniform shear stress at infinity in quasicrystals with point group 10. With the aid of conformal transformation, an exact solution for the elliptic notch of the quasicrystals is obtained. The solution of the mode II Griffith crack as a special case is constructed. The stress intensity factor and energy release rate have been also obtained as a direct result of the crack solution.

Keywords: quasicrystals plane elasticity elliptic notch stress potential

Received: 14 April 2009
Revised: 09 July 2009
Accepted manuscript online:

PACS:	62.20.D-	(Elasticity)
	61.44.Br	(Quasicrystals)
	62.20.M-	(Structural failure of materials)
	81.40.Jj	(Elasticity and anelasticity, stress-strain relations)
	81.40.Np	(Fatigue, corrosion fatigue, embrittlement, cracking, fracture, and failure)

Fund: Project supported by the National Natural Science Foundation of China (Grant No.~10761005), by the Natural Science Foundation of Inner Mongolia of China (Grant Nos.~2009MS0102, 2009BS0101 and 2009BS0104), the Natural Science Foundation of Inner Mongolia N

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Li Lian-He(李联和) Elastic analysis of an elliptic notch in quasicrystals of point group 10 subjected to shear loading 2010 Chin. Phys. B 19 046101

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Elastic analysis of an elliptic notch in quasicrystals of point group 10 subjected to shear loading

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