十次对称二维准晶材料的位错动力学问题  

Study on Moving Dislocations in Decagonal Quasicrystals

作　　者：张超华[1] 李联和[1,2] 云国宏 

机构地区：[1]内蒙古师范大学数学科学学院,呼和浩特010022 [2]内蒙古自治区纳米材料与技术重点实验室,呼和浩特010021

出　　处：《固体力学学报》2017年第2期165-169,共5页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金项目(11462020;11262017;11262012);内蒙古自然科学基金项目(2015JQ01;2015MS0129);内蒙古自治区教育厅项目(NJYT-13-B07;NJZY032)资助

摘　　要：论文采用Bak准晶弹性动力学模型研究了十次对称二维准晶材料的位错动力学问题.将Stroh公式推广到了准晶材料动力学问题的研究中,给出了位移和应力一般解的表达式.讨论了位错移动速度、声子场和相位子场耦合弹性常数R对声子场、相位子场位移和应力的影响.Quasicrystals have widespread application values and prospects because of their excellent physical and mechanical properties. In this work, based on Bak＇s dynamic model of quasicrystals, the moving straight dislocations in decagonal quasicrystals are investigated in detail. The closed-form expres- sions for elastic displacement and stress fields are obtained by extending the Stroh formalism. Effects of the moving velocity of dislocation and the phonon-phason coupling elastic constant on the hoop displace- ments and stresses are discussed. The results show that the greater the moving velocity of dislocation is, the more significantly the displacements and stresses in the phonon and phason field are affected. Finally, the dynamic physical characteristics of dislocations are revealed, and the wave behavior is checked in pho- non and phason fields.

关 键 词：准晶 位错动力学 Stroh公式 声子场 相位子场 

分 类 号：O341[理学—固体力学]