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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...

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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
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URI: https://cronfa.swan.ac.uk/Record/cronfa50544
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first_indexed 2019-06-05T11:07:47Z
last_indexed 2019-07-18T21:35:47Z
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spelling 2019-07-18T16:11:26.8537491 v2 50544 2019-05-28 Semi-analytical solution for postbuckling behavior of highly deformable nanobeams 5894777b8f9c6e64bde3568d68078d40 Michael Friswell Michael Friswell true false 4ea84d67c4e414f5ccbd7593a40f04d3 Sondipon Adhikari Sondipon Adhikari true false 2019-05-28 FGSEN 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. Conference Paper/Proceeding/Abstract Proceedings of the World Congress on Engineering 2018 2 WCE 2018 London, UK 978-988-14048-9-3 2078-0958 2078-0966 0 0 0 0001-01-01 http://www.iaeng.org/publication/WCE2018/WCE2018_pp757-760.pdf COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2019-07-18T16:11:26.8537491 2019-05-28T10:57:00.2060667 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised M.A. Maneshi 1 E. Ghavanloo 2 S.A. Fazelzadeh 3 Michael Friswell 4 S. Adhikari 5 Sondipon Adhikari 6 0050544-28052019110119.pdf maneshi2019.pdf 2019-05-28T11:01:19.1800000 Output 2192014 application/pdf Version of Record true 2019-05-28T00:00:00.0000000 true eng
title Semi-analytical solution for postbuckling behavior of highly deformable nanobeams
spellingShingle Semi-analytical solution for postbuckling behavior of highly deformable nanobeams
Michael Friswell
Sondipon Adhikari
title_short Semi-analytical solution for postbuckling behavior of highly deformable nanobeams
title_full Semi-analytical solution for postbuckling behavior of highly deformable nanobeams
title_fullStr Semi-analytical solution for postbuckling behavior of highly deformable nanobeams
title_full_unstemmed Semi-analytical solution for postbuckling behavior of highly deformable nanobeams
title_sort Semi-analytical solution for postbuckling behavior of highly deformable nanobeams
author_id_str_mv 5894777b8f9c6e64bde3568d68078d40
4ea84d67c4e414f5ccbd7593a40f04d3
author_id_fullname_str_mv 5894777b8f9c6e64bde3568d68078d40_***_Michael Friswell
4ea84d67c4e414f5ccbd7593a40f04d3_***_Sondipon Adhikari
author Michael Friswell
Sondipon Adhikari
author2 M.A. Maneshi
E. Ghavanloo
S.A. Fazelzadeh
Michael Friswell
S. Adhikari
Sondipon Adhikari
format Conference Paper/Proceeding/Abstract
container_title Proceedings of the World Congress on Engineering 2018
container_volume 2
institution Swansea University
isbn 978-988-14048-9-3
issn 2078-0958
2078-0966
publisher WCE 2018
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
url http://www.iaeng.org/publication/WCE2018/WCE2018_pp757-760.pdf
document_store_str 1
active_str 0
description 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.
published_date 0001-01-01T04:02:02Z
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score 11.012678

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