Coupling of NURBS and Meshfree RPIM for plane stress of web with openings. (May 2022)

• Record Type: Journal Article
• Authors: Mokhtaram, M.H.; Noor, M.A. Mohd; Nazir, M.Z. Jamil Abd; Abidin, A.R. Zainal; Yassin, A.Y. Mohd
• Is Part Of: Engineering analysis with boundary elements. Volume 138(2022)
• Page Start: 266
• Page End: 279
• Publication Date: 2022-05
• Subjects: NURBS -- Radial basis functions -- Radial point interpolation method -- Meshfree -- Cellular beam; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2022.02.018
• Languages: English
• ISSNs: 0955-7997

Abstract

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.