Isogeometric analysis based on T-splines

  • Derek C. Thomas
  • Michael A. Scott
Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 561)


This chapter provides an introduction to the use of T-splines in isogeometric analysis. A simple definition of two-dimensional T-splines is given and Bézier extraction is introduced. The basic details for implementation of T-splines as finite element shape functions are given. Two examples of integrated analysis and design based on commercial tools are given to illustrate the utility of T-spline-based IGA in a design-through-analysis workflow.


Control Point Parametric Domain Isogeometric Analysis Element Shape Function Function Anchor 
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Copyright information

© CISM, Udine 2015

Authors and Affiliations

  • Derek C. Thomas
    • 1
  • Michael A. Scott
    • 2
  1. 1.Department of Physics and AstronomyBrigham Young UniversityProvoUSA
  2. 2.Department of Civil and Environmental EngineeringBrigham Young UniversityProvoUSA

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