International Journal for Numerical Methods in Engineering · 2010 · 489 citations · 19 references
ComputingComputational EngineeringComputer ScienceComputational GeometryFinite Element AnalysisFinite Element MethodsGeometry ProcessingIsogeometric AnalysisNurbs ModelingShape AnalysisShape FunctionsStructural Finite Element AnalysisB-spline ModelingB-spline Shape FunctionsB-spline SurfacesData ProcessingGeometry RepresentationIsogeometric ModelingNon-uniform Rational B-splinesNurbs Surfaces
Abstract We present the B'ezier extraction operator and isogeometric Bézier elements for non‐uniform rational B‐Spline (NURBS)‐based isogeometric analysis. The Bézier extraction operator allows numerical integration of smooth functions to be performed on C 0 Bézier elements. We show how the Bézier extraction operator is computed for NURBS. We then show that the extraction operator and Bézier elements provide an element structure for isogeometric analysis that can be easily incorporated into existing finite element codes, without any changes to element form and assembly algorithms, and standard data processing arrays. All significant changes may be implemented in a shape function subroutine. Copyright © 2010 John Wiley & Sons, Ltd.
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Yuri Bazilevs, Victor M. Calo, J. Austin Cottrell et al. · Computer Methods in Applied Mechanics and Engineering · 2007 · 1.1K citations
Natural Sciences, Computational Engineering, Mechanical Engineering +13