A finite element method for the Saint-Venant torsion and bending problems for prismatic beams

Jog, CS and Mokashi, Imrankhan Sherkhan (2014) A finite element method for the Saint-Venant torsion and bending problems for prismatic beams. In: COMPUTERS & STRUCTURES, 135 . pp. 62-72.

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Abstract

In this work, we present a finite element formulation for the Saint-Venant torsion and bending problems for prismatic beams. The torsion problem formulation is based on the warping function, and can handle multiply-connected regions (including thin-walled structures), compound and anisotropic bars. Similarly, the bending formulation, which is based on linearized elasticity theory, can handle multiply-connected domains including thin-walled sections. The torsional rigidity and shear centers can be found as special cases of these formulations. Numerical results are presented to show the good coarse-mesh accuracy of both the formulations for both the displacement and stress fields. The stiffness matrices and load vectors (which are similar to those for a variable body force in a conventional structural mechanics problem) in both formulations involve only domain integrals, which makes them simple to implement and computationally efficient. (C) 2014 Elsevier Ltd. All rights reserved.

Item Type:	Journal Article
Publication:	COMPUTERS & STRUCTURES
Publisher:	PERGAMON-ELSEVIER SCIENCE LTD
Additional Information:	Copyright for this article belongs to the PERGAMON-ELSEVIER SCIENCE LTD, ENGLAND
Keywords:	Saint-Venant torsion; Compound bars; Anisotropic bars; Bending by terminal loads; Multiply connected sections
Department/Centre:	Division of Mechanical Sciences > Mechanical Engineering
Date Deposited:	11 May 2014 06:47
Last Modified:	11 May 2014 06:47
URI:	http://eprints.iisc.ac.in/id/eprint/48937

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