Analysis and Application of the Rational B-Spline Finite Element Method in 2D |
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| Authors: | Markus Klassen Ralf Müller Julia Mergheim Paul Fischer Paul Steinmann |
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| Institution: | 1. Chair of Applied Mechanics, TU Kaiserslautern;2. Chair of Applied Mechanics, University of Erlangen-Nuremberg |
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| Abstract: | Non-Uniform Rational B-Splines (NURBS) are basis functions used in CAD software to describe exact geometric models. The implementation of these basis functions in the context of the Finite Element Analysis (FEA) is known as isogeometric analysis. The concept and definition of NURBS is briefly presented here. Since these functions are implemented as shape functions for the isogeometric analysis, the refinement strategies are discussed. The example of an infinite plate with circular hole serves as a benchmark. Finally, isogeometric analysis is applied to gradient elasticity since NURBS functions are of higher continuity and this is required in gradient elasticity. (© 2010 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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