Elastic fields around a nanosized elliptic hole in decagonal quasicrystals  

作　　者：李联和 云国宏 

机构地区：[1]College of Physical Science and Technology, Inner Mongolia University [2]Inner Mongolia Key Laboratory of Nanoscience and Nanotechnology [3]College of Mathematics Science, Inner Mongolia Normal University [4]College of Physics and Electronic Information, Inner Mongolia Normal University

出　　处：《Chinese Physics B》2014年第10期373-377,共5页中国物理B（英文版）

基　　金：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);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 qua- sicrystals 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.Based on the variational principle, a continuum theory of surface elasticity and new boundary conditions for qua- sicrystals 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 

分 类 号：O733[理学—晶体学]