Cylindrical element: Isogeometric model of continuum rod

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15 Scopus citations

Abstract

A geometric mapping between a canonical cylindrical domain and a physical rod-like body is established and is utilized to analyze rod-like structures undergoing large deformations. A rod is described as a full three-dimensional continuum, yet parameterized only by surface control points. This description preserves the geometric smoothness, and allows for the consideration of lateral deformation in analysis. Numerical examples are presented to demonstrate the method.

Original languageEnglish (US)
Pages (from-to)233-241
Number of pages9
JournalComputer Methods in Applied Mechanics and Engineering
Volume200
Issue number1-4
DOIs
StatePublished - Jan 1 2011
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

Keywords

  • Harmonic coordinates
  • Harmonic mapping
  • Isogeometric analysis
  • NURBS
  • Nonlinear rod

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