QUT ePrints

A node-based smoothed conforming point interpolation method (NS-CPIM) for elasticity problems

Xu, X., Gu, Y.T., & Yang, X. (2011) A node-based smoothed conforming point interpolation method (NS-CPIM) for elasticity problems. International Journal of Computational Methods, 8(4), pp. 801-812.

View at publisher

Abstract

This paper formulates a node-based smoothed conforming point interpolation method (NS-CPIM) for solid mechanics. In the proposed NS-CPIM, the higher order conforming PIM shape functions (CPIM) have been constructed to produce a continuous and piecewise quadratic displacement field over the whole problem domain, whereby the smoothed strain field was obtained through smoothing operation over each smoothing domain associated with domain nodes. The smoothed Galerkin weak form was then developed to create the discretized system equations. Numerical studies have demonstrated the following good properties: NS-CPIM (1) can pass both standard and quadratic patch test; (2) provides an upper bound of strain energy; (3) avoid the volumetric locking; (4) provides the higher accuracy than those in the node-based smoothed schemes of the original PIMs.

Impact and interest:

1 citations in Scopus
Search Google Scholar™
0 citations in Web of Science®

Citation countsare sourced monthly from Scopus and Web of Science® citation databases.

These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science® generally from 1980 onwards.

Citations counts from the Google Scholar™ indexing service can be viewed at the linked Google Scholar™ search.

Full-text downloads:

69 since deposited on 06 Nov 2011
24 in the past twelve months

Full-text downloadsdisplays the total number of times this work’s files (e.g., a PDF) have been downloaded from QUT ePrints as well as the number of downloads in the previous 365 days. The count includes downloads for all files if a work has more than one.

ID Code: 46865
Item Type: Journal Article
Additional URLs:
Keywords: Meshfree Methods, Bound Solutions, Volumetric Locking Free, Patch Test, Numerical Simulation
DOI: 10.1142/S0219876211002836
ISSN: 0219-8762
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300)
Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > MECHANICAL ENGINEERING (091300) > Numerical Modelling and Mechanical Characterisation (091307)
Divisions: Past > QUT Faculties & Divisions > Faculty of Built Environment and Engineering
Past > Schools > School of Engineering Systems
Copyright Owner: Copyright 2011 World Scientific Publishing.
Deposited On: 07 Nov 2011 07:51
Last Modified: 01 Feb 2012 00:05

Export: EndNote | Dublin Core | BibTeX

Repository Staff Only: item control page