含圆孔有限八次对称二维准晶的边界元分析  

Boundary Element Analysis of Finite Octagonal 2D Quasicrystals with Circular Hole

作　　者：陈德财 王桂霞[1,2] 李联和 卫林芳[1] CHEN De-cai;WANG Gui-xia;LI Lian-he;WEI Lin-fang(College of Mathematics Science,Inner Mongolia Normal University,Hohhot 010022,China;Inner Mongolia Center for Applied Mathematics,Hohhot 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 [2]内蒙古自治区应用数学中心,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）》2023年第2期132-138,共7页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(62161045);内蒙古自治区高校科研资助项目(NJZZ21003);内蒙古师范大学研究生科研创新基金资助项目(CXJJS22099)。

摘　　要：利用推广的Stroh方法,得到含有圆孔无限八次对称二维准晶材料的格林函数。进一步采用半解析半数值的边界元方法,获得在均匀边界加载作用下,有限八次对称二维准晶体内的圆形孔口所引起的应力解答,并分析半径尺寸以及不同加载情况对圆孔边应力的影响。By using the extended Stroh formulism, the Green’s function of an infinitely octagonal twodimensional quasicrystal with a circular hole is obtained. Furthermore, the semi-analytical and semi-numerical boundary element method is used for obtaining the solution of stress caused by a circular hole in a finite octagonal two-dimensional quasicrystal under uniform loading, and the influence of radius size and different loading conditions on the stress of the edge of hole is analyzed.

关 键 词：推广的Stroh方法 格林函数 边界元法 八次对称二维准晶 圆孔 

分 类 号：O174.41[理学—数学]