A two-dimensional Isogeometric Boundary Element Method for elastostatic analysis

R. N. Simpson, S. P A Bordas, J. Trevelyan, Timon Rabczuk

Research output: Contribution to journalArticle

203 Citations (Scopus)

Abstract

The concept of isogeometric analysis, where functions that are used to describe geometry in CAD software are used to approximate the unknown fields in numerical simulations, has received great attention in recent years. The method has the potential to have profound impact on engineering design, since the task of meshing, which in some cases can add significant overhead, has been circumvented. Much of the research effort has been focused on finite element implementations of the isogeometric concept, but at present, little has been seen on the application to the Boundary Element Method. The current paper proposes an Isogeometric Boundary Element Method (BEM), which we term IGABEM, applied to two-dimensional elastostatic problems using Non-Uniform Rational B-Splines (NURBS). We find it is a natural fit with the isogeometric concept since both the NURBS approximation and BEM deal with quantities entirely on the boundary. The method is verified against analytical solutions where it is seen that superior accuracies are achieved over a conventional quadratic isoparametric BEM implementation.

Original languageEnglish
Pages (from-to)87-100
Number of pages14
JournalComputer Methods in Applied Mechanics and Engineering
Volume209-212
DOIs
Publication statusPublished - 2012 Feb 1
Externally publishedYes

Fingerprint

elastostatics
boundary element method
Boundary element method
Elasticity
splines
Splines
computer aided design
Computer aided design
engineering
computer programs
Geometry
Computer simulation
geometry
approximation
simulation

Keywords

  • Boundary Element Method
  • Isogeometric analysis
  • NURBS

ASJC Scopus subject areas

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

Cite this

A two-dimensional Isogeometric Boundary Element Method for elastostatic analysis. / Simpson, R. N.; Bordas, S. P A; Trevelyan, J.; Rabczuk, Timon.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 209-212, 01.02.2012, p. 87-100.

Research output: Contribution to journalArticle

Simpson, R. N. ; Bordas, S. P A ; Trevelyan, J. ; Rabczuk, Timon. / A two-dimensional Isogeometric Boundary Element Method for elastostatic analysis. In: Computer Methods in Applied Mechanics and Engineering. 2012 ; Vol. 209-212. pp. 87-100.
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