计算机工程与应用2018，Vol.54Issue(5)：61-65,78,6.DOI:10.3778/j.issn.1002-8331.1610-0017
二维单域弹性问题虚边界无网格伽辽金法分析
Analysis of two-dimensional single-domain elastic problem based on virtual bound-ary meshless Galerkin method
摘要
Abstract
Using Galerkin method of weighted residual method,and the radial basis function in meshless method to inter-polate the virtual source function on the virtual boundary,the Virtual Boundary Meshless Galerkin Method(VBMGM)is formed.VBMGM has both the advantages of boundary element method and meshless method.And the weighted value is the partial derivative displacement or surface force,whose numerical meaning is clear.Equation formed is of symmetry.The specific numerical scheme of VBMGM is deduced in detail.It is easily programmed and researched by other scholars. Numerical example is the water holes dual arrangement of Three Gorges Project in the literature.The results reveal the feasibility and the accuracy of VBMGM, by computing different distances of virtual boundary and real boundary, different Gauss points on each element, and different virtual nodes on virtual boundary to interpolate the virtual source function.关键词
边界元/无网格/伽辽金/应力集中系数Key words
boundary element/meshless/Galerkin/stress concentration factor分类
信息技术与安全科学引用本文复制引用
杨冬升,凌静..二维单域弹性问题虚边界无网格伽辽金法分析[J].计算机工程与应用,2018,54(5):61-65,78,6.基金项目
贵州省科技厅工业公关项目(黔科合GY字〔2014〕3008) （黔科合GY字〔2014〕3008）
贵阳市工业公关项目筑科合同([2012101]3-2号) （[2012101]3-2号）
贵州省本科教学工程建设项目(No.2016JG16) （No.2016JG16）
贵州师范大学2014年博士科研启动项目. （）
