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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
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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...
| Published in: | Proceedings of the World Congress on Engineering 2018 |
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| ISBN: | 978-988-14048-9-3 |
| ISSN: | 2078-0958 2078-0966 |
| Published: |
London, UK
WCE 2018
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| Online Access: |
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| 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. |
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| College: |
Faculty of Science and Engineering |