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 language | English |
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Pages (from-to) | 266-279 |
Number of pages | 14 |
Journal | Engineering Analysis with Boundary Elements |
Volume | 138 |
Early online date | 5 Mar 2022 |
DOIs | |
Publication status | Published - May 2022 |
Keywords
- Cellular beam
- Meshfree
- NURBS
- Radial basis functions
- Radial point interpolation method
ASJC Scopus subject areas
- Analysis
- General Engineering
- Computational Mathematics
- Applied Mathematics