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An Isogeometric Boundary Element Method for elastostatic analysis

  • The concept of isogeometric analysis, where functions that are used to describe geometry in CAD software are used to approximate the unknown fields in numerical simulations, has received great attention in recent years. The method has the potential to have profound impact on engineering design, since the task of meshing, which in some cases can add significant overhead, has been circumvented. Much of the research effort has been focused on finite element implementations of the isogeometric concept, but at present, little has been seen on the application to the Boundary Element Method. The current paper proposes an Isogeometric Boundary Element Method (BEM), which we term IGABEM, applied to two-dimensional elastostatic problems using Non-Uniform Rational B-Splines (NURBS). We find it is a natural fit with the isogeometric concept since both the NURBS approximation and BEM deal with quantities entirely on the boundary. The method is verified against analytical solutions where it is seen that superior accuracies are achieved over a conventional quadratic isoparametric BEM implementation.

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Metadaten
Document Type:Article
Author: R. Simpson, Stéphane Pierre Alain Bordas, J. Trevelyan, Pierre Kerfriden, Timon RabczukORCiDGND
DOI (Cite-Link):https://doi.org/10.1016/j.cma.2011.08.008Cite-Link
Parent Title (English):Computer Methods in Applied Mechanics and Engineering
Language:English
Date of Publication (online):2017/08/26
Year of first Publication:2012
Release Date:2017/08/26
Publishing Institution:Bauhaus-Universität Weimar
Institutes:Fakultät Bauingenieurwesen / Institut für Strukturmechanik
GND Keyword:Angewandte Mathematik; Strukturmechanik
Dewey Decimal Classification:600 Technik, Medizin, angewandte Wissenschaften / 620 Ingenieurwissenschaften
500 Naturwissenschaften und Mathematik / 510 Mathematik / 519 Wahrscheinlichkeiten, angewandte Mathematik
BKL-Classification:31 Mathematik / 31.80 Angewandte Mathematik
50 Technik allgemein / 50.31 Technische Mechanik
Licence (German):License Logo Copyright All Rights Reserved - only metadata