TY - JOUR
T1 - Coupling of NURBS and Meshfree RPIM for plane stress of web with openings
AU - Mokhtaram, M. H.
AU - Noor, M. A. Mohd
AU - Nazir, M. Z. Jamil Abd
AU - Abidin, A. R. Zainal
AU - Yassin, A. Y. Mohd
N1 - Funding Information:
This work has been undertaken as part of a PhD program at Universiti Teknologi Malaysia and sponsored by Universiti Selangor and Kementerian Pendidikan Malaysia through the MyPhd program.
Publisher Copyright:
© 2022 Elsevier Ltd
PY - 2022/5
Y1 - 2022/5
N2 - 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.
AB - 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.
KW - Cellular beam
KW - Meshfree
KW - NURBS
KW - Radial basis functions
KW - Radial point interpolation method
UR - http://www.scopus.com/inward/record.url?scp=85125661165&partnerID=8YFLogxK
U2 - 10.1016/j.enganabound.2022.02.018
DO - 10.1016/j.enganabound.2022.02.018
M3 - Article
SN - 0955-7997
VL - 138
SP - 266
EP - 279
JO - Engineering Analysis with Boundary Elements
JF - Engineering Analysis with Boundary Elements
ER -