›› 2014, Vol. 23 ›› Issue (10): 106104-106104.doi: 10.1088/1674-1056/23/10/106104

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

Elastic fields around a nanosized elliptichole in decagonal quasicrystals

李联和a b c, 云国宏a b d   

  1. a College of Physical Science and Technology, Inner Mongolia University, Hohhot 010021, China;
    b Inner Mongolia Key Laboratory of Nanoscience and Nanotechnology, Hohhot 010021, China;
    c College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China;
    d College of Physics and Electronic Information, Inner Mongolia Normal University, Hohhot 010022, China
  • 收稿日期:2014-03-06 修回日期:2013-05-05 出版日期:2014-10-15 发布日期:2014-10-15
  • 基金资助:
    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).

Elastic fields around a nanosized elliptichole in decagonal quasicrystals

Li Lian-He (李联和)a b c, Yun Guo-Hong (云国宏)a b d   

  1. a College of Physical Science and Technology, Inner Mongolia University, Hohhot 010021, China;
    b Inner Mongolia Key Laboratory of Nanoscience and Nanotechnology, Hohhot 010021, China;
    c College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China;
    d College of Physics and Electronic Information, Inner Mongolia Normal University, Hohhot 010022, China
  • Received:2014-03-06 Revised:2013-05-05 Online:2014-10-15 Published:2014-10-15
  • Contact: Yun Guo-Hong E-mail:ghyun@imnu.edu.cn
  • 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, 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).

摘要: 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.

关键词: quasicrystal, surface elasticity, Stroh formulism, variational method

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.

Key words: quasicrystal, surface elasticity, Stroh formulism, variational method

中图分类号:  (Quasicrystals)

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