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

doi:10.1016/j.enganabound.2022.02.018

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

School of Energy, Geoscience, Infrastructure and Society

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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
Pages (from-to)	266-279
Number of pages	14
Journal	Engineering Analysis with Boundary Elements
Volume	138
Early online date	5 Mar 2022
DOIs	https://doi.org/10.1016/j.enganabound.2022.02.018
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

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10.1016/j.enganabound.2022.02.018

Cite this

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title = "Coupling of NURBS and Meshfree RPIM for plane stress of web with openings",

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.",

keywords = "Cellular beam, Meshfree, NURBS, Radial basis functions, Radial point interpolation method",

author = "Mokhtaram, {M. H.} and Noor, {M. A. Mohd} and Nazir, {M. Z. Jamil Abd} and Abidin, {A. R. Zainal} and Yassin, {A. Y. Mohd}",

note = "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: {\textcopyright} 2022 Elsevier Ltd",

year = "2022",

month = may,

doi = "10.1016/j.enganabound.2022.02.018",

language = "English",

volume = "138",

pages = "266--279",

journal = "Engineering Analysis with Boundary Elements",

issn = "0955-7997",

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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

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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 -

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

Abstract

Keywords

ASJC Scopus subject areas

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