Isogeometric analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling

N. Nguyen-Thanh, K. Zhou, X. Zhuang, P. Areias, H. Nguyen-Xuan, Y. Bazilevs, T. Rabczuk

Research output: Contribution to journalArticlepeer-review

217 Citations (Scopus)


We present an isogeometric thin shell formulation for multi-patches based on rational splines over hierarchical T-meshes (RHT-splines). Nitsche's method is employed to efficiently couple the patches. The RHT-splines have the advantages of allowing a computationally feasible local refinement, are free from linear dependence, possess high-order continuity and satisfy the partition of unity and non-negativity. In addition, the C1 continuity of the RHT-splines avoids the rotational degrees of freedom. The good performance of the present method is demonstrated by a number of numerical examples.

Original languageEnglish
Pages (from-to)1157-1178
Number of pages22
JournalComputer Methods in Applied Mechanics and Engineering
Publication statusPublished - 2017 Apr 1
Externally publishedYes

Bibliographical note

Funding Information:
The first author gratefully acknowledges the financial support of the Singapore Maritime Institute (Grant SMI-2014-MA11). Yuri Bazilevs was partially supported by the NASA (Grant NNX15AW13A).

Publisher Copyright:
© 2016 Elsevier B.V.


  • Isogeometric analysis
  • Large deformation
  • Multiple patches
  • PHT-splines
  • Thin shell

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • General Physics and Astronomy
  • Computer Science Applications


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