基于Arlequin方法的无网格法与有限元法耦合  

Coupling between meshless method and finite element method based on Arlequin method

作　　者：乔华[1] 陈伟球[2] 

机构地区：[1]浙江大学土木工程学系,浙江杭州310058 [2]浙江大学工程力学系,浙江杭州310027

出　　处：《浙江大学学报（工学版）》2011年第3期526-530,共5页Journal of Zhejiang University：Engineering Science

基　　金：国家杰出青年科学基金资助项目(10725210);国家"973"研究发展计划资助项目(2009CB623204)

摘　　要：研究将有限元法和无网格法进行耦合的新方法.在简要介绍无网格Galerkin法及Arlequin方法的基本理论的基础上,提出基于Arlequin方法的无网格法与有限元法的耦合分析法,给出了计算列式并编制了相应的耦合分析程序.对一端部受均布竖向力作用的悬臂梁和一端固定一端受均布拉力的带边裂纹平板进行了分析,探讨了耦合分析对有限元域以及无网格域的应力或裂尖应力强度因子计算结果的影响.数值算例验证了程序的正确性,表明了基于Arlequin方法将有限元法与无网格法进行耦合分析的可行性.This work presented a new method to couple finite element method and meshless method.Based on the concepts of meshless method and Arlequin method,a new idea for coupling these two methods was proposed by using the Arlequin method.The program for the coupling between the meshless Galerkin method and the finite element method was developed.A cantilever beam under a vertical uniform load at the free end as well as an edge-cracked plate with one end clamped and the other under uniform tension were considered,and the influences of the coupling analysis on the stress fields in the meshless and finite element regions or the crack-tip stress intensity factor were discussed.The numerical results justified the correctness of the program as well as the feasibility of the application of the Arlequin method to couple the finite element method and meshless method.

关 键 词：无网格法 有限元法 Arlequin方法 应力强度因子 

分 类 号：K176[历史地理—历史学]