B-bar and F-bar projection methods for nearly incompressible linear and non-linear elasticity and plasticity using higher-order NURBS elements

@inproceedings{Elguedj2018BbarAF,
title={B-bar and F-bar projection methods for nearly incompressible linear and non-linear elasticity and plasticity using higher-order NURBS elements},
author={Thomas Elguedj and Yuri Bazilevs and Victor M. Calo and Thomas J. R. Hughes},
year={2018}
}

This paper presents projection methods to treat the incompressibility constraint in small and large deformation elasticity and plasticity within the framework of Isogeometric Analysis. After reviewing some fundamentals of isogeometric analysis, we investigate the use of higher-order Non-Uniform Rational B-Splines (NURBS) within the B̄ projection method. The higher-continuity property of such functions is explored in nearly incompressible applications and shown to produce accurate and robust… CONTINUE READING