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Title: Complex potential by hydrodynamic analogy for the determination of flexure-torsion induced stresses in De Saint Venant beams with boundary singularities
Authors: Barone, Giorgio
Lo Iacono, Francesco
Navarra, Giacomo
Keywords: Complex potential
Shear
Torsion
De Saint Venant beam
Boundary singularities
Issue Date: 2013
Publisher: © Elsevier
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.
Abstract: 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.
Description: 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
Version: Accepted for publication
DOI: 10.1016/j.enganabound.2013.09.008
URI: https://dspace.lboro.ac.uk/2134/16759
Publisher Link: http://dx.doi.org/10.1016/j.enganabound.2013.09.008
ISSN: 0955-7997
Appears in Collections:Published Articles (Civil and Building Engineering)

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