Meshfree cell-based smoothed alpha radial point interpolation method (CS-α RPIM) for solid mechanics problems

G.R. Liu, Guiyong Zhang, Z. Zong, M. Li

    Research output: Contribution to journalArticlepeer-review

    17 Citations (Scopus)

    Abstract

    This paper presents a novel and effective cell-based smoothed alpha radial point interpolation method (CS-αRPIM) using αPIM shape functions for approximating displacement and cell-based smoothed strains for displacement gradient construction. Using a scaling factor α [0, 1], the αPIM 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 α in our new CS-αRPIM, 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 α 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. © 2013 World Scientific Publishing Company.
    Original languageEnglish
    Pages (from-to)1350020-1 - 1350020-31
    JournalInternational Journal of Computational Methods
    Volume10
    Issue number4
    DOIs
    Publication statusPublished - 2013

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