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Article
Blended isogeometric shells
Computer Methods in Applied Mechanics and Engineering (2013)
  • D. J. Benson, University of California, San Diego
  • S. Hartmann
  • Y. Bazilevs, University of California, San Diego
  • Ming-Chen Hsu
  • T.J.R. Hughes
Abstract

We propose a new isogeometric shell formulation that blends Kirchhoff–Love theory with Reissner–Mindlin theory. This enables us to reduce the size of equation systems by eliminating rotational degrees of freedom while simultaneously providing a general and effective treatment of kinematic constraints engendered by shell intersections, folds, boundary conditions, the merging of NURBS patches, etc. We illustrate the blended theory’s performance on a series of test problems.

Keywords
  • Isogeometric analysis,
  • NURBS,
  • Shells,
  • Rotation-free,
  • Nonlinear
Publication Date
March 1, 2013
Publisher Statement
NOTICE: this is the author’s version of a work that was accepted for publication in Computer Methods in Applied Mechanics and Engineering. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computer Methods in Applied Mechanics and Engineering, [255, (March 1, 2013)] DOI:10.1016/j.cma.2012.11.020
Citation Information
D. J. Benson, S. Hartmann, Y. Bazilevs, Ming-Chen Hsu, et al.. "Blended isogeometric shells" Computer Methods in Applied Mechanics and Engineering Vol. 255 (2013)
Available at: http://works.bepress.com/ming-chen_hsu/3/