A new linear model for beams with compact or thin-walled section is presented. The formulation is based on the Hellinger-Reissner principle with independent descriptions of the stress and displacement fields. The kinematics is constituted by a rigid section motion and non uniform out-of-plane warpings related to shear and torsion. The stress field is built on the basis of the Saint-Venant (SV) solution and with a new part to describe the variable warping. The formulation of a finite element with exact shape functions made possible to validate the beam model avoiding discretization errors. (C) 2013 Elsevier Ltd. All rights reserved.
A mixed beam model with non-uniform warpings derived from the Saint Venant rod
BILOTTA, Antonio;GARCEA, Giovanni
2013-01-01
Abstract
A new linear model for beams with compact or thin-walled section is presented. The formulation is based on the Hellinger-Reissner principle with independent descriptions of the stress and displacement fields. The kinematics is constituted by a rigid section motion and non uniform out-of-plane warpings related to shear and torsion. The stress field is built on the basis of the Saint-Venant (SV) solution and with a new part to describe the variable warping. The formulation of a finite element with exact shape functions made possible to validate the beam model avoiding discretization errors. (C) 2013 Elsevier Ltd. All rights reserved.File in questo prodotto:
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