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, Timon Rabczuk

Research output: Contribution to journalArticle

109 Citations (Scopus)

Abstract

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
Volume316
DOIs
Publication statusPublished - 2017 Apr 1
Externally publishedYes

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splines
Splines
continuity
unity
mesh
partitions
degrees of freedom
formulations

Keywords

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

ASJC Scopus subject areas

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

Cite this

Isogeometric analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling. / Nguyen-Thanh, N.; Zhou, K.; Zhuang, X.; Areias, P.; Nguyen-Xuan, H.; Bazilevs, Y.; Rabczuk, Timon.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 316, 01.04.2017, p. 1157-1178.

Research output: Contribution to journalArticle

Nguyen-Thanh, N. ; Zhou, K. ; Zhuang, X. ; Areias, P. ; Nguyen-Xuan, H. ; Bazilevs, Y. ; Rabczuk, Timon. / Isogeometric analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling. In: Computer Methods in Applied Mechanics and Engineering. 2017 ; Vol. 316. pp. 1157-1178.
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