Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids

N. Nguyen-Thanh, H. Nguyen-Xuan, S. P A Bordas, Timon Rabczuk

Research output: Contribution to journalArticle

165 Citations (Scopus)

Abstract

Isogeometric analysis has become a powerful alternative to standard finite elements due to its flexibility in handling complex geometries. One of the major drawbacks of NURBS-based isogeometric finite elements is the inefficiency of local refinement. In this study, we present an alternative to NURBS-based isogeometric analysis that allows for local refinement. The idea is based on polynomial splines and exploits the flexibility of T-meshes for local refinement. The shape functions satisfy important properties such as non-negativity, local support and partition of unity. Several numerical examples are used to demonstrate the reliability of the present method.

Original languageEnglish
Pages (from-to)1892-1908
Number of pages17
JournalComputer Methods in Applied Mechanics and Engineering
Volume200
Issue number21-22
DOIs
Publication statusPublished - 2011 May 1
Externally publishedYes

Fingerprint

splines
Splines
mesh
flexibility
polynomials
Polynomials
shape functions
Geometry
unity
partitions
geometry

Keywords

  • Isogeometric analysis
  • PHT-spline
  • T-meshes
  • T-spline

ASJC Scopus subject areas

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

Cite this

Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids. / Nguyen-Thanh, N.; Nguyen-Xuan, H.; Bordas, S. P A; Rabczuk, Timon.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 200, No. 21-22, 01.05.2011, p. 1892-1908.

Research output: Contribution to journalArticle

Nguyen-Thanh, N. ; Nguyen-Xuan, H. ; Bordas, S. P A ; Rabczuk, Timon. / Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids. In: Computer Methods in Applied Mechanics and Engineering. 2011 ; Vol. 200, No. 21-22. pp. 1892-1908.
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