In this paper, we study plane incompressible elastic problems by means of a ‘‘stream-function’’ formulation such that a divergence-free displacement field can be computed from a scalar potential. The numerical scheme is constructed within the framework of NURBS-based isogeometric analysis and we take advantage of the high continuity guaranteed by NURBS basis functions in order to obtain the dis- placement field from the potential differentiation. As a consequence, the obtained numerical scheme is automatically locking-free in the presence of the incompressibility constraint. A Discontinuous Galerkin approach is proposed to deal with multiple mapped, possibly multiply connected, domains. Extensive numerical results are provided to show the method capabilities.

A fully "locking-free" isogeometric approach for plane linear elasticity problems: a stream function formulation

AURICCHIO, FERDINANDO;LOVADINA, CARLO;REALI, ALESSANDRO;SANGALLI, GIANCARLO
2007-01-01

Abstract

In this paper, we study plane incompressible elastic problems by means of a ‘‘stream-function’’ formulation such that a divergence-free displacement field can be computed from a scalar potential. The numerical scheme is constructed within the framework of NURBS-based isogeometric analysis and we take advantage of the high continuity guaranteed by NURBS basis functions in order to obtain the dis- placement field from the potential differentiation. As a consequence, the obtained numerical scheme is automatically locking-free in the presence of the incompressibility constraint. A Discontinuous Galerkin approach is proposed to deal with multiple mapped, possibly multiply connected, domains. Extensive numerical results are provided to show the method capabilities.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/141567
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