The natural radial element method

被引:65
作者
Belinha, J. [1 ]
Dinis, L. M. J. S. [2 ]
Natal Jorge, R. M. [2 ]
机构
[1] Inst Engn Mech, IDMEC, P-4200465 Oporto, Portugal
[2] Univ Porto, Fac Engn, FEUP, P-4200465 Oporto, Portugal
关键词
meshless method; finite element method; natural neighbour; elastostatic analysis; POINT INTERPOLATION METHOD; MESHLESS METHODS;
D O I
10.1002/nme.4427
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this work an innovative numerical approach is proposed, which combines the simplicity of low-order finite elements connectivity with the geometric flexibility of meshless methods. The natural neighbour concept is applied to enforce the nodal connectivity. Resorting to the Delaunay triangulation a background integration mesh is constructed, completely dependent on the nodal mesh. The nodal connectivity is imposed through nodal sets with reduce size, reducing significantly the test function construction cost. The interpolations functions, constructed using Euclidian norms, are easily obtained. To prove the good behaviour of the proposed interpolation function several data-fitting examples and first-order partial differential equations are solved. The proposed numerical method is also extended to the elastostatic analysis, where classic solid mechanics benchmark examples are solved. Copyright (c) 2013 John Wiley & Sons, Ltd.
引用
收藏
页码:1286 / 1313
页数:28
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