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Complex potential by hydrodynamic analogy for the determination of flexure-torsion induced stresses in De Saint Venant beams with boundary singularities

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journal contribution
posted on 18.02.2015, 11:09 by Giorgio Barone, Francesco Lo Iacono, Giacomo Navarra
In this paper, a novel complex potential function for the solution of the flexure–torsion problem in De Saint Venant beams is proposed, considering the simultaneous presence of external shear and torsion excitations. By defining a fictitious vector field and taking advantage of a hydrodynamic analogy, the proposed complex potential function allows the stress vector field and the unitary twist rotation of the cross-section to be determined at once, and, therefore, returns the complete solution of the problem. The proposed approach is well-suited for domains having boundary singularities. A numerical application, implemented by using the Complex Variable Boundary Element Method (CVBEM), is reported for an elliptical cross-section to show the validity of the proposed complex potential. Finally, two singularity problems are analyzed, considering an L-shaped and an epicycloid-shaped cross-section.

History

School

  • Architecture, Building and Civil Engineering

Published in

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Volume

37

Issue

12

Pages

1632 - 1641 (10)

Citation

BARONE, G., LO IACONO, F. and NAVARRA, G., 2013. Complex potential by hydrodynamic analogy for the determination of flexure-torsion induced stresses in De Saint Venant beams with boundary singularities. Engineering Analysis with Boundary Elements, 37 (12), pp.1632-1641.

Publisher

© Elsevier

Version

AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2013

Notes

This is the author’s version of a work that was accepted for publication in Engineering Analysis with Boundary Elements. A definitive version was subsequently published at: http://dx.doi.org/10.1016/j.enganabound.2013.09.008

ISSN

0955-7997

Language

en