Mathematics and Mechanics of Solids, Volume (19), No (3), Year (2014-3) , Pages (260-276)

Title : ( Torsion of tubes with quasi-polygonal holes using complex variable method )

Authors: Benyamin Gholami Bazehhour , Jalil Rezaee Pazhand ,

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Abstract

In this paper, torsional analysis of hollow bars with specially shaped non-circular cross-sections is presented. The well known formulation of the torsion problem in complex variable theory is used to obtain an expression for shear stresses, angle of twist and cross-sectional warping. The most important part of the solution of the torsion problem here is to obtain an appropriate closed-form conformal mapping for specially shaped cross-sections. The obtained mapping is used to achieve a solution for torsion problem of bars with specially shaped hollow cross-section. Finally, the calculated results are compared with the finite-element method solution. The presented solution is capable of accurately predicting the angle of twist, warping, and shear stress in the studied hollow bars.

Keywords

, Torsion, hollow cross-section, quasi-polygonal, complex variable, conformal mapping
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@article{paperid:1044488,
author = {Gholami Bazehhour, Benyamin and Rezaee Pazhand, Jalil},
title = {Torsion of tubes with quasi-polygonal holes using complex variable method},
journal = {Mathematics and Mechanics of Solids},
year = {2014},
volume = {19},
number = {3},
month = {March},
issn = {1081-2865},
pages = {260--276},
numpages = {16},
keywords = {Torsion; hollow cross-section; quasi-polygonal; complex variable; conformal mapping},
}

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%0 Journal Article
%T Torsion of tubes with quasi-polygonal holes using complex variable method
%A Gholami Bazehhour, Benyamin
%A Rezaee Pazhand, Jalil
%J Mathematics and Mechanics of Solids
%@ 1081-2865
%D 2014

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