Please use this identifier to cite or link to this item: https://doi.org/10.1142/S0219876208001662
Title: Edge-based smoothed point interpolation methods
Authors: Liu, G.R. 
Zhang, G.Y.
Keywords: Edge-based strain smoothing
Finite element method (FEM)
Meshfree method
Point interpolation method (PIM)
Weakened weak form (W2)
Issue Date: 2008
Citation: Liu, G.R., Zhang, G.Y. (2008). Edge-based smoothed point interpolation methods. International Journal of Computational Methods 5 (4) : 621-646. ScholarBank@NUS Repository. https://doi.org/10.1142/S0219876208001662
Abstract: This paper formulates an edge-based smoothed point interpolation method (ES-PIM) for solid mechanics using three-node triangular meshes. In the ES-PIM, displacement fields are construed using the point interpolation method (polynomial PIM or radial PIM), and hence the shape functions possess the Kronecker delta property, facilitates the enforcement of Dirichlet boundary conditions. Strains are obtained through smoothing operation over each smoothing domain associated with edges of the triangular background cells. The generalized smoothed Galerkin weak form is then used to create the discretized system equations and the formation is weakened weak formulation. Four schemes of selecting nodes for interpolation using the PIM have been introduced in detail and ES-PIM models using these four schemes have been developed. Numerical studies have demonstrated that the ES-PIM possesses the following good properties: (1) the ES-PIM models have a close-to-exact stiffness, which is much softer than for the overly-stiff FEM model and much stiffer than for the overly-soft node-based smoothed point interpolation method (NS-PIM) model; (2) results of ES-PIMs are generally of superconvergence and "ultra-accurate"; (3) no additional degrees of freedom are introduced, the implementation of the method is straightforward, and the method can achieve much better efficiency than the FEM using the same set of triangular meshes. © 2008 World Scientific Publishing Company.
Source Title: International Journal of Computational Methods
URI: http://scholarbank.nus.edu.sg/handle/10635/60023
ISSN: 02198762
DOI: 10.1142/S0219876208001662
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

100
checked on Nov 12, 2018

WEB OF SCIENCETM
Citations

88
checked on Oct 17, 2018

Page view(s)

43
checked on Oct 20, 2018

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.