直位错和线性力作用下点群10十次对称二维准晶的弹性场研究  

The Elastic Field of Two-dimensional Quasicrystals of Point Group 10 Under the Action of Straight Dislocation and Linear Force

作　　者：皮建东 刘官厅[1] PI Jian-dong;LIU Guan-ting(Mathematic Science College of Inner Mongolia Normal University,Huhhote 010022,China)

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《数学的实践与认识》2020年第11期160-164,共5页Mathematics in Practice and Theory

基　　金：国家重点研发计划(2017YFC1405605);国家自然科学基金(11962026);内蒙古自然科学基金(2018MS01005);内蒙古自治区高等学校科学研究项目(NJZY20022);内蒙古师范大学科研基金(2017ZRYB003)。

摘　　要：本文研究了直位错和线性力作用下点群10十次对称二维准晶的弹性场.首先将Stroh公式推广到点群10十次对称二维准晶研究中,在此基础上,采用推广的Stroh公式给出了应力和位移的通解,结合边界条件,获得了应力的解析表达式,为实际应用奠定了理论基础.In this paper,the elastic field of two-dimensional quasicrystals of point group10 under the action of straight dislocation and linear force is studied.The Stroh formula is extended to the study of decagonal symmetric two-dimensional quasicrystals of point group10.On this basis,the general solutions of stress and displacement are given by using the generalized Stroh formula.The analytical expressions of stress are obtained by combining the boundary conditions,which lays a theoretical foundation for practical application.

关 键 词：点群10十次对称二维准晶 位错 Stroh公式 应力 

分 类 号：O753.3[理学—晶体学]