Journal
INTERNATIONAL JOURNAL OF MATERIAL FORMING
Volume 1, Issue -, Pages 1091-1094Publisher
SPRINGER FRANCE
DOI: 10.1007/s12289-008-0209-7
Keywords
Isogeometric Analysis; NURBS; Volumetric locking; Plasticity; Incompressibility; B-bar method; F-bar method
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Funding
- French Delegation Generale pour l'Armement
- Centre National pour la Recherche Scientifique
- J.T. Oden ICES Postdoctoral Fellowship at the Institute for Computational Engineering and Sciences
- Office of Naval Research [N00014-03-0263]
- Sandia National Laboratories [114166]
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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 (F) over bar projection method, based on a modified minimum potential energy principle and inspired by the (B) over bar 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.
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