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Numerical Aspects of Isogeometric Boundary Element Methods: (Nearly) Singular Quadrature, Trimmed NURBS and Surface Crack Modeling

Xuan Peng1,*, Haojie Lian2,*
1 Department of Mechanical Engineering, Suzhou University of Science and Technology, Suzhou, 215009, China
2 Key Laboratory of In-situ Property-improving Mining of Ministry of Education, Taiyuan University of Technology, Taiyuan, 030024, China
* Corresponding Authors: Xuan Peng. Email: ; Haojie Lian. Email:
(This article belongs to this Special Issue: Recent Advance of the Isogeometric Boundary Element Method and its Applications)

Computer Modeling in Engineering & Sciences 2022, 130(1), 513-542. https://doi.org/10.32604/cmes.2022.017410

Received 08 May 2021; Accepted 29 June 2021; Issue published 29 November 2021

Abstract

This work presents some numerical aspects of isogeometric boundary element methods (IGABEM). The behavior of hyper-singular and nearly-singular integration is first explored on the distorted NURBS surface. Several numerical treatments are proposed to enhance the quadrature in the framework of isogeometric analysis. Then a numerical implementation of IGABEM on the trimmed NURBS is detailed. Based on this idea, the surface crack problem is modeled incorporation with the phantom element method. The proposed method allows the crack to intersect with the boundary of the body while preserving the original parametrization of the NURBS-based CAD geometry.

Keywords

Isogeometric analysis; trimmed NURBS; singular integration; boundary element method; surface crack

Cite This Article

Peng, X., Lian, H. (2022). Numerical Aspects of Isogeometric Boundary Element Methods: (Nearly) Singular Quadrature, Trimmed NURBS and Surface Crack Modeling. CMES-Computer Modeling in Engineering & Sciences, 130(1), 513–542.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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