Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.enganabound.2010.09.012
Title: A local radial basis functionsFinite differences technique for the analysis of composite plates
Authors: Roque, C.M.C.
Cunha, D.
Shu, C. 
Ferreira, A.J.M.
Keywords: Finite differences
Laminated composites
Meshless methods
Plates
Radial basis functions
Issue Date: Mar-2011
Source: Roque, C.M.C., Cunha, D., Shu, C., Ferreira, A.J.M. (2011-03). A local radial basis functionsFinite differences technique for the analysis of composite plates. Engineering Analysis with Boundary Elements 35 (3) : 363-374. ScholarBank@NUS Repository. https://doi.org/10.1016/j.enganabound.2010.09.012
Abstract: Radial basis functions are a very accurate means of solving interpolation and partial differential equations problems. The global radial basis functions collocation technique produces ill-conditioning matrices when using multiquadrics, making the choice of the shape parameter a crucial issue. The use of local numerical schemes, such as finite differences produces much better conditioned matrices. However, finite difference schemes are limited to special grids. For scattered points, a combination of finite differences and radial basis functions would be a possible solution. In this paper, we use a higher-order shear deformation plate theory and a radial basis functionfinite difference technique for predicting the static behavior of thin and thick composite plates. Through numerical experiments on square and L-shaped plates, the accuracy and efficiency of this collocation technique is demonstrated, and the numerical accuracy and convergence are thoughtfully examined. This technique shows great potential to solve large engineering problems without the issue of ill-conditioning. © 2010 Elsevier Ltd. All rights reserved.
Source Title: Engineering Analysis with Boundary Elements
URI: http://scholarbank.nus.edu.sg/handle/10635/54314
ISSN: 09557997
DOI: 10.1016/j.enganabound.2010.09.012
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