三维二十面体准晶材料的运动裂纹问题  

An Icosahedral Quasicrystal with A Moving Griffith Crack

作　　者：张超华[1] 李联和[1,2] ZHANG Chao-hua LI Lian-he(College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, China Inner Mongolia Key Lab of Nanoscience and Nanotechnology , Hohhot 010022 ,China)

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

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2017年第2期166-169,共4页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11462020;11262107;11262012);内蒙古自然科学基金资助项目(2015JQ01;2015MS0129);内蒙古自治区教育厅项目(NJYT-13-B07;NJZY032)

摘　　要：采用Bak准晶弹性动力学模型,研究三维二十面体准晶材料的运动裂纹问题.将Stroh公式推广到准晶材料动力学问题中,给出了应力和位移一般解的表达式.讨论了裂纹传播速度对声子场环向应力和相位子场环向应力的影响,结果表明,裂纹传播速度越大,对声子场和相位子场环向应力的影响越大.Based on the dynamic model of quasicrystals followed Bak＇s arguments,a finite Griffith crack moving with constant velocity in an icosahedral quasicrystal is discussed.The explicit expressions for stresses and displacements of the phonon and phason fields are obtained by the extended Stroh formalism,then the normalized hoop stress near the crack tip for different crack speeds are studied.The results showed that the greater crack velocity,the greater effects of the hoop stress in the phonon and phason fields.Finally,the dynamic physical characteristics of Griffith crack are revealed and the wave behavior is checked in phonon and phason fields.

关 键 词：准晶 运动裂纹 Stroh公式 应力 位移 环向应力 

分 类 号：O346.1[理学—固体力学]