Fundamental-solution-based finite element model for plane orthotropic elastic bodies

被引:44
|
作者
Wang, Hui [1 ,2 ]
Qin, Qing-Hua [1 ]
机构
[1] Australian Natl Univ, Sch Engn, Canberra, ACT 0200, Australia
[2] Henan Univ Technol, Coll Civil Engn & Architecture, Zhengzhou 450052, Peoples R China
关键词
Orthotropic materials; Hybrid finite element method; Fundamental solutions; FUNCTIONALLY GRADED MATERIALS; TRANSIENT HEAT-CONDUCTION; THICK PLATES; MESHLESS METHOD;
D O I
10.1016/j.euromechsol.2010.05.003
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A new hybrid finite element formulation is presented for solving two-dimensional orthotropic elasticity problems. A linear combination of fundamental solutions is used to approximate the intra-element displacement fields and conventional shape functions are employed to construct elementary boundary fields, which are independent of the intra-element fields. To establish a linkage between the two independent fields and produce the final displacement-force equations, a hybrid variational functional containing integrals along the elemental boundary only is developed. Results are presented for four numerical examples including a cantilever plate, a square plate under uniform tension, a plate with a circular hole, and a plate with a central crack, respectively, and are assessed by comparing them with solutions from ABAQUS and other available results. (C) 2010 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码:801 / 809
页数:9
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