Analysis of 3D solids using the natural neighbour radial point interpolation method

被引：137
|
作者：
Dinis, L. M. J. S.
Jorge, R. M. Natal
Belinha, J.
机构：
[1] Univ Porto, Fac Engn, FEUP, P-4200465 Oporto, Portugal
[2] Inst Engn Mech, IDMEC, P-4200465 Oporto, Portugal
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2007年 / 196卷 / 13-16期
关键词：
radial point interpolation method (RPIM); radial basis function (RBF); natural neighbours; meshfree method;
D O I：
10.1016/j.cma.2006.11.002
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this work an improved meshless method is proposed, based on the combination of the natural neighbour finite element method with the radial point interpolation method, the natural neighbour radial point interpolation method - NNRPIM. The nodal connectivity and the node dependent integration background mesh are constructed resorting to the Voronoi tessellation and to the Delaunay triangulation. Within NNRPIM the obtained shape functions pass through all nodes inside the influence-cell providing shape functions with the delta Kronecker property. Optimization tests and examples of well-known, 2D and 3D problems are solved in order to prove the high accuracy and convergence rate of the proposed method. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：2009 / 2028
页数：20
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