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Semi-analytical solution for postbuckling behavior of highly deformable nanobeams / M.A. Maneshi; E. Ghavanloo; S.A. Fazelzadeh; Michael Friswell; S. Adhikari; Sondipon Adhikari

Proceedings of the World Congress on Engineering 2018, Volume: 2

Swansea University Authors: Michael, Friswell, Sondipon, Adhikari

Abstract

In this paper, exact analytical solutions are developed to describe the size-dependent nonlinear bending behavior of cantilever nano-beams subjected to an end force. Geometric and equilibrium equations of the deformed element are used in conjunction with a nonlocal differential constitutive relation...

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Published in: Proceedings of the World Congress on Engineering 2018
ISBN: 978-988-14048-9-3
ISSN: 2078-0958 2078-0966
Published: London, UK WCE 2018
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa50544
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Abstract: In this paper, exact analytical solutions are developed to describe the size-dependent nonlinear bending behavior of cantilever nano-beams subjected to an end force. Geometric and equilibrium equations of the deformed element are used in conjunction with a nonlocal differential constitutive relation to obtain large deformation of the nano-beam. Here, the nano-beam is considered to be inextensible and the Euler-Bernoulli hypotheses are adopted. Applicability and accuracy of the present formulations are confirmed by comparing the predicted results with those reported in the literature. Furthermore, by using the exact solution presented in this investigation, the deformed configurations of the nano-beams are determined for different loading conditions. Our results reveal that the nano-beam exhibits a softening behavior when nonlocality is increasing.
College: College of Engineering