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

• Type: Article in International Scientific Journal
• Date: 2007

Authors

Dinis, LMJS (Author) FEUP; Natal M N Jorge (Author) FEUP; Belinha, J (Author) Other

Journal

Title: Computer Methods in Applied Mechanics and Engineering

Vol. 196

Pages: 2009-2028

ISSN: 0045-7825

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 80 Citations

ISI Web of Science

Scopus - 128 Citations

Scientific classification

FOS: Engineering and technology > Other engineering and technologies

Other information

Authenticus ID: P-004-CV5

DOI: 10.1016/j.cma.2006.11.002

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 20