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Chin. Phys. B, 2014, Vol. 23(5): 056101    DOI: 10.1088/1674-1056/23/5/056101

Icosahedral quasicrystals solids with an elliptic hole under uniform heat flow

Li Lian-He (李联和)a b c, Liu Guan-Ting (刘官厅)a
a College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, China;
b College of Physical Science and Technology, Inner Mongolia University, Hohhot 010021, China;
c Inner Mongolia Key Laboratory of Nanoscience and Nanotechnology, Hohhot 010021, China
Abstract  The complex variable method for solving the two-dimensional thermal stress problem of icosahedral quasicrystals is stated. The closed-form solutions for icosahedral quasicrystals containing an elliptical hole subjected to a remote uniform heat flow are obtained. When the hole degenerates into a crack, the explicit solutions for the stress intensity factors is presented.
Keywords:  icosahedral quasicrystals      thermal stress      elliptic hole      stress intensity factors  
Received:  07 September 2013      Revised:  30 November 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, 11272053, 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 for Higher-Level Talents of Inner Mongolia University, China (Grant No. 125125).
Corresponding Authors:  Li Lian-He     E-mail:
About author:  61.44.Br; 62.20.D-; 02.30.Em

Cite this article: 

Li Lian-He (李联和), Liu Guan-Ting (刘官厅) Icosahedral quasicrystals solids with an elliptic hole under uniform heat flow 2014 Chin. Phys. B 23 056101

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