International Journal of Mechanical Sciences, ( ISI ), Volume (142), Year (2018-4) , Pages (163-175)

Title : ( Three-dimensional deformations of a curved circular beam subjected to thermo-mechanical loading using green’s function method )

Authors: Mohaamad Rezaiee Pajand , Niloofar Rajabzadeh Safaei , S. M. Hozhabrossadati ,
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Abstract

This article deals with the exact thermo-mechanical static responses of a curved circular beam by Green’s function method. To nd the solution, the related governing dierential equations are found using the Hamilton’s principles. They are combined into two six-order ordinary inhomogeneous dierential equations. To form the Green’s problem, the adjoint dierential operator along with corresponding boundary conditions is found from the inner product calculations. It is noteworthy that the lateral temperature distribution leads to both in-plane and out-ofplane deformations. This important point has not been mentioned in the previous studies. Moreover, the radially distributed temperature results in no out-of-plane displacements. Finally, the answers of some numerical tests conrmed the accuracy of the proposed solution method.

Keywords

, Thermo, mechanical loading; Circular curved beam; Green’s function method; Adjoint differential problem; In, plane and out, of, plane deformations
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@article{paperid:1069345,
author = {Rezaiee Pajand, Mohaamad and Rajabzadeh Safaei, Niloofar and S. M. Hozhabrossadati},
title = {Three-dimensional deformations of a curved circular beam subjected to thermo-mechanical loading using green’s function method},
journal = {International Journal of Mechanical Sciences},
year = {2018},
volume = {142},
month = {April},
issn = {0020-7403},
pages = {163--175},
numpages = {12},
keywords = {Thermo-mechanical loading; Circular curved beam; Green’s function method; Adjoint differential problem; In-plane and out-of-plane deformations},
}

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%0 Journal Article
%T Three-dimensional deformations of a curved circular beam subjected to thermo-mechanical loading using green’s function method
%A Rezaiee Pajand, Mohaamad
%A Rajabzadeh Safaei, Niloofar
%A S. M. Hozhabrossadati
%J International Journal of Mechanical Sciences
%@ 0020-7403
%D 2018

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