F-bar projection method for finite deformation elasticity and plasticity using NURBS based isogeometric analysis

T. Elguedj*, Y. Bazilevs, Victor Calo, T. J.R. Hughes

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


This paper presents projection methods to treat the incompressibility constraint in large deformation elasticity and plasticity within the framework of Isogeometric Analysis. The continuity property of higher-order Non-Uniform Rational B-Splines (NURBS) is explored in nearly incompressible applications and shown to produce accurate and robust results. A new nonlinear F̄ projection method, based on a modified minimum potential energy principle and inspired by the B̄ method is proposed for the large-deformation case. It leads to a symmetric formulation for which the consistent linearized operator for fully nonlinear elasticity is derived and used in a Newton-Raphson iterative procedure. The performance of the methods is assessed on several numerical examples, and results obtained are shown to compare favorably with other published techniques.

Original languageEnglish (US)
Pages (from-to)1091-1094
Number of pages4
JournalInternational Journal of Material Forming
Issue numberSUPPL. 1
StatePublished - Jan 1 2008


  • B-bar method
  • F-bar method
  • Incompressibility
  • Isogeometric Analysis
  • Plasticity
  • Volumetric locking

ASJC Scopus subject areas

  • Materials Science(all)

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