Generalized 2D problem of icosahedral quasicrystals containing an elliptic hole

doi:10.1088/1674-1056/22/11/116101

Abstract The generalized 2D problem of icosahedral quasicrystals containing an elliptic hole is considered by using the extended Stroh formalism. The closed-form solutions for the displacements and stresses are obtained under general loading conditions. The solution of the Griffith crack problem as a special case of the results is also observed. The stress intensity factor and strain energy release rate are given. The effect of the phonon–phason coupling elastic constant on the mechanical behavior is also discussed.

Keywords: icosahedral quasicrystal plane elasticity Stroh formulism elliptic hole

Received: 15 November 2012
Revised: 17 April 2013
Accepted manuscript online:

PACS:	61.44.Br	(Quasicrystals)
	62.20.D-	(Elasticity)
	02.30.Em	(Potential theory)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11072104, 1272053, and 11262017), the Key Project of Chinese Ministry of Education (Grant No. 212029), the Natural Science Foundation of Inner Mongolia Autonomous Region, China (Grant No. 2013MS0114), the Natural Science Foundation of Inner Mongolia Department of Public Education, China (Grant No. NJZZ13037), the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region, China (Grant No. NJYT-13-B07), and the Program of Higher-level Talents of Inner Mongolia University, China (Grant No. 125125).

Corresponding Authors: Li Lian-He
E-mail: nmglilianhe@163.com

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Li Lian-He (李联和) Generalized 2D problem of icosahedral quasicrystals containing an elliptic hole 2013 Chin. Phys. B 22 116101

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Generalized 2D problem of icosahedral quasicrystals containing an elliptic hole

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