International Journal of Solids and Structures, ( ISI ), Volume (143), No (1), Year (2018-6) , Pages (209-217)

Title : ( Application of Green’s function method to bending of stress gradient nanobeams )

Authors: Seyed Mojtaba Hozhabrossadati , N. Challamel , Mohaamad Rezaiee Pajand , Ahmad Aftabi sani ,

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Abstract

In this article, the deflection functions of nanobeams are found by employing the well-known Green’s function method. Based on Eringen’s nonlocal elasticity theory, stress gradient model is employed to formulate the problem. Different boundary conditions, including, clamped–clamped, clamped-free, sim- ply supported-simply supported and clamped-simply supported are studied. The beams are assumed to be under arbitrary distributed or concentrated loads. By presenting some new Green’s integral formula- tions, three different ways of treating the nonlocal terms are suggested. The specificity of inhomogeneous boundary conditions for the stress gradient nonlocal model is found. A particular property is a possible loss of the symmetry of Green’s functions for nonlocal boundary conditions. To validate the proposed results, findings are compared with the available ones in the literature.

Keywords

Nanobeams; Bending Eringen’s theory; Green’s function method; Adjoint problem; Deflection function
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@article{paperid:1069336,
author = {Hozhabrossadati, Seyed Mojtaba and N. Challamel and Rezaiee Pajand, Mohaamad and Aftabi Sani, Ahmad},
title = {Application of Green’s function method to bending of stress gradient nanobeams},
journal = {International Journal of Solids and Structures},
year = {2018},
volume = {143},
number = {1},
month = {June},
issn = {0020-7683},
pages = {209--217},
numpages = {8},
keywords = {Nanobeams; Bending Eringen’s theory; Green’s function method; Adjoint problem; Deflection function},
}

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%0 Journal Article
%T Application of Green’s function method to bending of stress gradient nanobeams
%A Hozhabrossadati, Seyed Mojtaba
%A N. Challamel
%A Rezaiee Pajand, Mohaamad
%A Aftabi Sani, Ahmad
%J International Journal of Solids and Structures
%@ 0020-7683
%D 2018

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