Steel and Composite Structures

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Truncated hierarchical B-splines in isogeometric analysis of thin shell structures

  • Atri, H.R. (Department of Civil Engineering, Shahid Bahonar University of Kerman) ;
  • Shojaee, S. (Department of Civil Engineering, Shahid Bahonar University of Kerman)
  • Received : 2017.05.17
  • Accepted : 2017.11.30
  • Published : 2018.01.25
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Abstract

This paper presents an isogeometric discretization of Kirchhoff-Love thin shells using truncated hierarchical B-splines (THB-splines). It is demonstrated that the underlying basis functions are ideally appropriate for adaptive refinement of the so-called thin shell structures in the framework of isogeometric analysis. The proposed approach provides sufficient flexibility for refining basis functions independent of their order. The main advantage of local THB-spline evaluation is that it provides higher degree analysis on tight meshes of arbitrary geometry which makes it well suited for discretizing the Kirchhoff-Love shell formulation. Numerical results show the versatility and high accuracy of the present method. This study is a part of the efforts by the authors to bridge the gap between CAD and CAE.

Keywords

References

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