Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2013-08-01

Journal: INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS

Included Journals: Scopus、EI、SCIE

Volume: 10

Issue: 4

ISSN: 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.