A coupled element free Galerkin/boundary element method for stress analysis of two-dimensional solids

被引:76
作者
Gu, YT [1 ]
Liu, GR [1 ]
机构
[1] Natl Univ Singapore, Dept Mech & Prod Engn, Singapore 119260, Singapore
关键词
meshless method; mesh free method; element free Galerkin method; boundary element method; stress analysis;
D O I
10.1016/S0045-7825(00)00324-8
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Element free Galerkin (EFG) method is a newly developed meshless method for solving partial differential equations using Moving Least-Squares interpolants. It is, however, computationally expensive for many problems. A coupled EFG/boundary element (BE) method is proposed in this paper to improve the solution efficiency. A procedure is developed for the coupled EFG/BE method so that the continuity and compatibility are preserved on the interface of the two domains, where the EFG and BE methods are applied. The present coupled EFG/BE method has been coded in FORTRAN. The validity and efficiency of the EFG/BE method are demonstrated through a number of examples. It is found that the present method can take the full advantages of both EFG and BE methods. It is very easy to implement, and very flexible for computing displacements and stresses of desired accuracy in solids with or without infinite domains. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:4405 / 4419
页数:15
相关论文
共 19 条
[1]  
[Anonymous], P 3 HPC AS 98 SING
[2]  
Belytschko T, 1995, COMPUT MECH, V17, P186
[3]   ELEMENT-FREE GALERKIN METHODS [J].
BELYTSCHKO, T ;
LU, YY ;
GU, L .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (02) :229-256
[4]   COMBINATION OF BOUNDARY AND FINITE-ELEMENTS IN ELASTOSTATICS [J].
BREBBIA, CA ;
GEORGIOU, P .
APPLIED MATHEMATICAL MODELLING, 1979, 3 (03) :212-220
[5]  
Brebbia CA., 1984, BOUNDARY ELEMENT TEC, DOI DOI 10.1007/978-3-642-48860-3
[6]   Element-free Galerkin methods in combination with finite element approaches [J].
Hegen, D .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1996, 135 (1-2) :143-166
[7]  
Hughes T. J. R., 2012, The finite element method: linear static and dynamic finite element analysis
[8]   Enforcement of essential boundary conditions in meshless approximations using finite elements [J].
Krongauz, Y ;
Belytschko, T .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1996, 131 (1-2) :133-145
[9]  
LANCASTER P, 1981, MATH COMPUT, V37, P141, DOI 10.1090/S0025-5718-1981-0616367-1
[10]   A NEW METHOD FOR THE COUPLING OF FINITE-ELEMENT AND BOUNDARY ELEMENT DISCRETIZED SUBDOMAINS OF ELASTIC BODIES [J].
LI, HB ;
HAN, GM ;
MANG, HA ;
TORZICKY, P .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1986, 54 (02) :161-185