中国物理B ›› 2013, Vol. 22 ›› Issue (11): 116101-116101.doi: 10.1088/1674-1056/22/11/116101

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

Generalized 2D problem of icosahedral quasicrystals containing an elliptic hole

李联和   

  1. College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China; Key Laboratory of Nanomagnetic and Functional Material, College of Physical Science and Technology, Inner Mongolia University, Hohhot 010021, China
  • 收稿日期:2012-11-15 修回日期:2013-04-17 出版日期:2013-09-28 发布日期:2013-09-28
  • 基金资助:
    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).

Generalized 2D problem of icosahedral quasicrystals containing an elliptic hole

Li Lian-He (李联和)   

  1. College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China; Key Laboratory of Nanomagnetic and Functional Material, College of Physical Science and Technology, Inner Mongolia University, Hohhot 010021, China
  • Received:2012-11-15 Revised:2013-04-17 Online:2013-09-28 Published:2013-09-28
  • Contact: Li Lian-He E-mail:nmglilianhe@163.com
  • Supported by:
    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).

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摘要： 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.

关键词: icosahedral quasicrystal, plane elasticity, Stroh formulism, elliptic hole

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.

Key words: icosahedral quasicrystal, plane elasticity, Stroh formulism, elliptic hole

中图分类号:  (Quasicrystals)

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