Coupling of NURBS and Meshfree RPIM for plane stress of web with openings

M. H. Mokhtaram, M. A. Mohd Noor, M. Z. Jamil Abd Nazir, A. R. Zainal Abidin, A. Y. Mohd Yassin

Research output: Contribution to journalArticlepeer-review

Abstract

This study presents a novel approach for the coupling of the non-uniform rational B-spline (NURBS) with the radial basis functions (RBF) under the framework of the meshfree radial point interpolation method (RPIM). In this method, denoted as N-RPIM, the NURBS basis functions are employed to model the geometry of the problem domain exactly, whilst the RPIM is used for field variables interpolation. The formulation is applied to the web of a cellular beam under plane stress condition to highlight the advantages. The results show that the method works efficiently, and provides favourable performance against FEM. The solution of the former converges faster, thus highlighting the potential of N-RPIM for future development.
Original languageEnglish
Pages (from-to)266-279
Number of pages14
JournalEngineering Analysis with Boundary Elements
Volume138
Early online date5 Mar 2022
DOIs
Publication statusPublished - May 2022

Keywords

  • Cellular beam
  • Meshfree
  • NURBS
  • Radial basis functions
  • Radial point interpolation method

ASJC Scopus subject areas

  • Analysis
  • Engineering(all)
  • Computational Mathematics
  • Applied Mathematics

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