Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Volume 87, Issue 1-5, Pages 15-47Publisher
WILEY-BLACKWELL
DOI: 10.1002/nme.2968
Keywords
Bezier extraction; isogeometric analysis; NURBS; finite elements
Funding
- Sandia National Laboratories
- U.S. Department of Energy's National Nuclear Security Administration [DE-AC04-94AL85000]
- Department of Energy [DE-FG02-97ER25308]
- Office of Naval Research [N00014-08-0992]
- NSF [0700204]
- ICES CAM
- Directorate For Engineering
- Div Of Civil, Mechanical, & Manufact Inn [0700204] Funding Source: National Science Foundation
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We present the Bezier extraction operator and isogeometric Bezier elements for non-uniform rational B-Spline (NURBS)-based isogeometric analysis. The Bezier extraction operator allows numerical integration of smooth functions to be performed on C(0) Bezier elements. We show how the Bezier extraction operator is computed for NURBS. We then show that the extraction operator and Bezier 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 (C) 2010 John Wiley & Sons, Ltd.
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