QUT ePrints

A point interpolation method for two-dimensional solids

Liu, Gui-Rong & Gu, YuanTong (2001) A point interpolation method for two-dimensional solids. International Journal for Numerical Methods in Engineering, 50(4), pp. 937-951.

View at publisher

Abstract

A Point Interpolation Method (PIM) is presented for stress analysis for two-dimensional solids. In the PIM, the problem domain is represented by properly scattered points. A technique is proposed to construct polynomial interpolants with delta function property based only on a group of arbitrarily distributed points. The PIM equations are then derived using variational principles. In the PIM, the essential boundary conditions can be implemented with ease as in the conventional Finite Element Methods. The present PIM has been coded in FORTRAN. The validity and efficiency of the present PIM formulation are demonstrated through example problems. It is found that the present PIM is very easy to implement, and very flexible for obtained displacements and stresses of desired accuracy in solids. As the elements are not used for meshing the problem domain, the present PIM opens new avenue to develop adaptive analysis codes for stress analysis in solids and structures.

Impact and interest:

375 citations in Scopus
Search Google Scholar™
322 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:

965 since deposited on 23 Jun 2008
258 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: 13842
Item Type: Journal Article
Keywords: Meshless Method, Element Free Method, Interpolation Function, Stress Analysis
DOI: 10.1002/1097-0207(20010210)50:4<937::AID-NME62>3.0.CO;2-X
ISSN: 0029-5981
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) > Numerical Analysis (010301)
Divisions: Past > QUT Faculties & Divisions > Faculty of Built Environment and Engineering
Past > Schools > School of Engineering Systems
Copyright Owner: Copyright 2001 John Wiley & Sons
Copyright Statement: The definite version is available on publication at www3.interscience.wiley.com
Deposited On: 23 Jun 2008
Last Modified: 11 Aug 2011 01:39

Export: EndNote | Dublin Core | BibTeX

Repository Staff Only: item control page