文献类型：期刊文献

英文题名：The improved element-free Galerkin method for two-dimensional elastodynamics problems

作者：Zhang, Zan[1];Hao, S. Y.[2];Liew, K. M.[3];Cheng, Y. M.[4]

机构：[1]E China Univ Sci & Technol, Sch Sci, Shanghai 200237, Peoples R China;[2]Lanzhou Jiaotong Univ, Sch Traff & Transportat, Lanzhou 730070, Peoples R China;[3]City Univ Hong Kong, Dept Civil & Architectural Engn, Kowloon, Hong Kong, Peoples R China;[4]Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China

年份：2013

卷号：37

期号：12

起止页码：1576

外文期刊名：ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

收录：;EI(收录号：20134416913551);WOS:【SCI-EXPANDED(收录号:WOS:000327922300002)】；

基金：The work that is described in this paper is partially supported by the National Natural Science Foundation of China (No. 11171208).

语种：英文

外文关键词：Weighted orthogonal function; Improved moving least squares (IMLS) approximation; Improved element-free Galerkin (IEFG) method; Elastodynamics; Penalty method; Newmark-beta algorithm

摘要：In this paper, we derive an improved element-free Galerkin (IEFG) method for two-dimensional linear elastodynamics by employing the improved moving least-squares (IMLS) approximation. In comparison with the conventional moving least-squares (MLS) approximation function, the algebraic equation system in IMLS approximation is well-conditioned. It can be solved without having to derive the inverse matrix. Thus the IEFG method may result in a higher computing speed. In the IEFG method for two-dimensional linear elastodynamics, we employed the Galerkin weak form to derive the discretized system equations, and the Newmark time integration method for the time history analyses. In the modeling process, the penalty method is used to impose the essential boundary conditions to obtain the corresponding formulae of the IEFG method for two-dimensional elastodynamics. The numerical studies illustrated that the IEFG method is efficient by comparing it with the analytical method and the finite element method. (C) 2013 Elsevier Ltd. All rights reserved.