An adaptive three-dimensional RHT-splines formulation in linear elasto-statics and elasto-dynamics

N. Nguyen-Thanh, J. Muthu, X. Zhuang, Timon Rabczuk

Research output: Contribution to journalArticle

45 Citations (Scopus)

Abstract

An adaptive three-dimensional isogeometric formulation based on rational splines over hierarchical T-meshes (RHT-splines) for problems in elasto-statics and elasto-dynamics is presented. RHT-splines avoid some short-comings of NURBS-based formulations; in particular they allow for adaptive h-refinement with ease. In order to drive the adaptive refinement, we present a recovery-based error estimator for RHT-splines. The method is applied to several problems in elasto-statics and elasto-dynamics including three-dimensional modeling of thin structures. The results are compared to analytical solutions and results of NURBS based isogeometric formulations.

Original languageEnglish
Pages (from-to)369-385
Number of pages17
JournalComputational Mechanics
Volume53
Issue number2
DOIs
Publication statusPublished - 2014 Feb 1

Fingerprint

Elastostatics
Elastodynamics
Splines
Spline
NURBS
Three-dimensional
Formulation
Rational Spline
Adaptive Refinement
Error Estimator
Analytical Solution
Refinement
Recovery
Mesh
Modeling

Keywords

  • Isogeometric analysis
  • NURBS
  • PHT-splines
  • RHT-splines

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Mechanical Engineering
  • Ocean Engineering
  • Applied Mathematics
  • Computational Mathematics

Cite this

An adaptive three-dimensional RHT-splines formulation in linear elasto-statics and elasto-dynamics. / Nguyen-Thanh, N.; Muthu, J.; Zhuang, X.; Rabczuk, Timon.

In: Computational Mechanics, Vol. 53, No. 2, 01.02.2014, p. 369-385.

Research output: Contribution to journalArticle

Nguyen-Thanh, N. ; Muthu, J. ; Zhuang, X. ; Rabczuk, Timon. / An adaptive three-dimensional RHT-splines formulation in linear elasto-statics and elasto-dynamics. In: Computational Mechanics. 2014 ; Vol. 53, No. 2. pp. 369-385.
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