The Improved Interpolating Complex Variable Element-Free Galerkin Met hod for Two- D imensional Elastic Problems  

作　　者：Yajie Deng Ying Dai 

机构地区：[1]School of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai 200092,China

出　　处：《Acta Mechanica Solida Sinica》2022年第2期328-343,共16页固体力学学报（英文版）

基　　金：The authors sincerely acknowledge the financial support from the National Science Foundation of China(No.12002240);the National Science and Technology Major Project(No.2017-IV-0003-0040).

摘　　要：An improved interpolating complex variable element-frees Galerkin(IICVEFG)method for the two-dimensional elastic problems is developed.This method is based on the improved interpolating complex variable moving least-squares(IICVMLS)method and the integral form of the elastic problems.In the IICVEFG method,the proposed shape function has the interpolating feature.Therefore,the essential boundary conditions can be exerted directly.Additionally,the unnecessary t erms in the discrete mat rices are removed,which resul ts in a set of concise formulas.This method is verified by analyzing three elastic examples under different constraints and loads.The numerical results show that the IICVEFG method is superior in precision and efficiency to other non-interpolating meshless methods.

关 键 词：Interpolating meshless met hod Elastic problems Singular weight function Complete basis function 

分 类 号：O343.6[理学—固体力学]