Composite Laminated Plates: A 3D Natural Neighbor Radial Point Interpolation Method Approach

• Type: Article in International Scientific Journal
• Date: 2010

Authors

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

Journal

Title: JOURNAL OF SANDWICH STRUCTURES & MATERIALS

Vol. 12

Pages: 119-138

ISSN: 1099-6362

Publisher: SAGE Publications

Indexing

ISI Web of Knowledge - 26 Citations

ISI Web of Science

Scopus - 38 Citations

Scientific classification

FOS: Engineering and technology > Mechanical engineering

CORDIS: Technological sciences > Engineering > Mechanical engineering

Other information

Authenticus ID: P-003-8TQ

DOI: 10.1177/1099636209104735

Abstract (EN): Based on the natural neighbor radial point interpolation method (NNRPIM), a 3D analysis of thick composite laminated plates is presented. The NNRPIM uses the natural neighbour concept in order to enforce nodal connectivity. Based on the Voronoi diagram small cells are created from the unstructured set of nodes discretizing the problem domain, the 'influence-cells', which are in fact influence domains entirely nodal dependent. The Delaunay triangles, the dual of the Voronoi cells, are used to create a node-dependent background mesh used in the numerical integration of the NNRPIM interpolation functions. The NNRPIM interpolation functions, used in the Galerkin weak form, are constructed in a process similar to that in the radial point interpolation method (RPIM) with some differences that modify the method performance. In the construction of the NNRPIM interpolation functions, no polynomial base is required and the used radial basis function (RBF) is the multiquadric RBF. The NNRPIM interpolation functions possess the delta Kronecker property, which simplifies the imposition of the natural and essential boundary conditions. In this work the 3D NNRPIM analysis is used to solve static and dynamic composite laminated plate problems. Thus, several benchmark examples are studied to demonstrate the effectiveness of the method.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 20