Elastic fields around a nanosized elliptichole in decagonal quasicrystals

doi:10.1088/1674-1056/23/10/106104

Abstract Based on the variational principle, a continuum theory of surface elasticity and new boundary conditions for quasicrystals is proposed. The effect of the residual surface stress on a decagonal quasicrystal that is weakened by a nanoscale elliptical hole is considered. The explicit expressions for the hoop stress along the edge of the hole are obtained using the Stroh formalism. The results show that the residual surface stress and the shape of the hole have a significant effect on the elastic state around the hole.

Keywords: quasicrystal surface elasticity Stroh formulism variational method

Received: 06 March 2014
Revised: 05 May 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 the Chinese Ministry of Education (Grant No. 212029), the Inner Mongolia Natural Science Foundation, China (Grant No. 2013MS0114), the Natural Science Foundation of Inner Mongolia Department of Public Education, China (Grant No. NJZZ13037), Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region, China (Grant No. NJYT-13-B07), and Program of Higher-Level Talents of Inner Mongolia University, China (Grant No. 125125).

Corresponding Authors: Yun Guo-Hong
E-mail: ghyun@imnu.edu.cn

About author: 61.44.Br; 62.20.D-; 02.30.Em

Cite this article:

Li Lian-He (李联和), Yun Guo-Hong (云国宏) Elastic fields around a nanosized elliptichole in decagonal quasicrystals 2014 Chin. Phys. B 23 106104


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Elastic fields around a nanosized elliptichole in decagonal quasicrystals

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