A meshless collocation method for the plane problems of functionally graded material beams and plates using the DRK interpolation

被引：17
|
作者：
Wu, Chih-Ping [1 ]
Yang, Shih-Wei [1 ]
Wang, Yung-Ming [1 ]
Hu, Hsuan-Teh [1 ]
机构：
[1] Natl Cheng Kung Univ, Dept Civil Engn, Tainan 70101, Taiwan
来源：
MECHANICS RESEARCH COMMUNICATIONS | 2011年 / 38卷 / 06期
关键词：
Meshless methods; Collocation; Reproducing kernel; Interpolation; FGM; Plates; KERNEL HIERARCHICAL PARTITION; INTEGRAL-EQUATION METHOD; FREE GALERKIN METHODS; MULTILAYERED COMPOSITE; FGM PLATES; SOLIDS; MLPG; APPROXIMATIONS; SHELLS; UNITY;
D O I：
10.1016/j.mechrescom.2011.05.008
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
A meshless collocation method is developed for the static analysis of plane problems of functionally graded (FG) elastic beams and plates under transverse mechanical loads using the differential reproducing kernel (DRK) interpolation, in which the DRK interpolant is constructed by the randomly distributed nodes. A point collocation method based on this DRK interpolation is developed for the plane stress and strain problems of homogeneous and FG elastic beams and plates. It is shown that the present DRK interpolation-based collocation method is indeed a truly meshless approach with excellent accuracy and has a fast convergence rate. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：471 / 476
页数：6
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