中国物理B ›› 2014, Vol. 23 ›› Issue (5): 56101-056101.doi: 10.1088/1674-1056/23/5/056101

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇    下一篇

Icosahedral quasicrystals solids with an elliptic hole under uniform heat flow

李联和a b c, 刘官厅a   

  1. 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
  • 收稿日期:2013-09-07 修回日期:2013-11-30 出版日期:2014-05-15 发布日期:2014-05-15
  • 基金资助:
    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).

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   

  1. 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
  • Received:2013-09-07 Revised:2013-11-30 Online:2014-05-15 Published:2014-05-15
  • Contact: Li Lian-He E-mail:nmglilianhe@163.com
  • About author:61.44.Br; 62.20.D-; 02.30.Em
  • Supported by:
    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).

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摘要： 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.

关键词: icosahedral quasicrystals, thermal stress, elliptic hole, stress intensity factors

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.

Key words: icosahedral quasicrystals, thermal stress, elliptic hole, stress intensity factors

中图分类号:  (Quasicrystals)

  • 61.44.Br
62.20.D- (Elasticity) 02.30.Em (Potential theory)