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A nonlocal finite element model for buckling and vibration of functionally graded nanobeams

A.I. Aria, M.I. Friswell, Michael Friswell

Composites Part B: Engineering, Volume: 166, Pages: 233 - 246

Swansea University Author: Michael Friswell

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DOI (Published version): 10.1016/j.compositesb.2018.11.071

Abstract

In this paper, a nonlocal (strain-driven) finite element model is presented to examine the free vibration and buckling behaviour of functionally graded (FG) nanobeams on the basis of first-order shear deformation theory (FSDBT). The proposed beam element has five nodes and ten degrees of freedom. Th...

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Published in: Composites Part B: Engineering
ISSN: 13598368
Published: 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa46044
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first_indexed 2018-11-22T14:19:39Z
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spelling 2019-01-14T16:33:50.8430288 v2 46044 2018-11-22 A nonlocal finite element model for buckling and vibration of functionally graded nanobeams 5894777b8f9c6e64bde3568d68078d40 Michael Friswell Michael Friswell true false 2018-11-22 FGSEN In this paper, a nonlocal (strain-driven) finite element model is presented to examine the free vibration and buckling behaviour of functionally graded (FG) nanobeams on the basis of first-order shear deformation theory (FSDBT). The proposed beam element has five nodes and ten degrees of freedom. The material properties of the FG nanobeam are assumed to vary in the thickness direction according to the power-law form. The stretching-bending coupling effect is eliminated by employing the neutral axis concept. Governing equations are deduced with the aid of Hamilton's principle. Buckling loads and natural frequencies are calculated for different nonlocal coefficients, boundary conditions (BCs), power-law indices, and span-to-depth ratios. The accuracy of the proposed element is verified by comparing with available benchmark results in the literature. Journal Article Composites Part B: Engineering 166 233 246 13598368 Functionally graded materials, Nonlocal elasticity theory, Finite element method, Free vibration, Buckling, First-order shear deformation theory 31 12 2019 2019-12-31 10.1016/j.compositesb.2018.11.071 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2019-01-14T16:33:50.8430288 2018-11-22T11:09:48.7433938 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised A.I. Aria 1 M.I. Friswell 2 Michael Friswell 3 0046044-22112018111138.pdf imani2018.pdf 2018-11-22T11:11:38.9270000 Output 10760234 application/pdf Accepted Manuscript true 2019-11-20T00:00:00.0000000 true eng
title A nonlocal finite element model for buckling and vibration of functionally graded nanobeams
spellingShingle A nonlocal finite element model for buckling and vibration of functionally graded nanobeams
Michael Friswell
title_short A nonlocal finite element model for buckling and vibration of functionally graded nanobeams
title_full A nonlocal finite element model for buckling and vibration of functionally graded nanobeams
title_fullStr A nonlocal finite element model for buckling and vibration of functionally graded nanobeams
title_full_unstemmed A nonlocal finite element model for buckling and vibration of functionally graded nanobeams
title_sort A nonlocal finite element model for buckling and vibration of functionally graded nanobeams
author_id_str_mv 5894777b8f9c6e64bde3568d68078d40
author_id_fullname_str_mv 5894777b8f9c6e64bde3568d68078d40_***_Michael Friswell
author Michael Friswell
author2 A.I. Aria
M.I. Friswell
Michael Friswell
format Journal article
container_title Composites Part B: Engineering
container_volume 166
container_start_page 233
publishDate 2019
institution Swansea University
issn 13598368
doi_str_mv 10.1016/j.compositesb.2018.11.071
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
document_store_str 1
active_str 0
description In this paper, a nonlocal (strain-driven) finite element model is presented to examine the free vibration and buckling behaviour of functionally graded (FG) nanobeams on the basis of first-order shear deformation theory (FSDBT). The proposed beam element has five nodes and ten degrees of freedom. The material properties of the FG nanobeam are assumed to vary in the thickness direction according to the power-law form. The stretching-bending coupling effect is eliminated by employing the neutral axis concept. Governing equations are deduced with the aid of Hamilton's principle. Buckling loads and natural frequencies are calculated for different nonlocal coefficients, boundary conditions (BCs), power-law indices, and span-to-depth ratios. The accuracy of the proposed element is verified by comparing with available benchmark results in the literature.
published_date 2019-12-31T03:57:45Z
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score 11.037319

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