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Indexed by:期刊论文

Date of Publication:2013-08-01

Journal:INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS

Included Journals:SCIE、EI、Scopus

Volume:10

Issue:4

ISSN No.:0219-8762

Key Words:Numerical methods; meshfree method; radial point interpolation method (RPIM); cell-based smoothing

Abstract:This paper presents a novel and effective cell-based smoothed alpha radial point interpolation method (CS-alpha RPIM) using alpha PIM shape functions for approximating displacement and cell-based smoothed strains for displacement gradient construction. Using a scaling factor alpha is an element of [0, 1], the alpha PIM shape functions are combinations of the condensed RPIM (RPIM-Cd) shape functions and the linear PIM shape functions, where the former often leads to a "softer" CS-RPIM model, and the latter a "stiffer" linear CS-RPIM model (which is as same as linear FEM), compared to the exact one. Through adjusting the value of a in our new CS-alpha RPIM, the stiffness of the model can be "designed" for desired purposes, such as for seeking nearly exact solutions in strain energy norm (or possibly other norms). A simple and practical procedure to search for such an a has also been presented. Some 2D and 3D numerical examples are studied to examine various properties of the present method in terms of accuracy, convergence and computational efficiency.