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A finite element model for the thermo-elastic analysis of functionally graded porous nanobeams

Arash Imani Aria, Timon Rabczuk, Michael Friswell

European Journal of Mechanics - A/Solids

Swansea University Author: Michael Friswell

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DOI (Published version): 10.1016/j.euromechsol.2019.04.002

Abstract

In this study, for the first time, a nonlocal finite element model is proposed to analyse thermo-elastic behaviour of imperfect functionally graded porous nanobeams (P-FG) on the basis of nonlocal elasticity theory and employing a double-parameter elastic foundation. Temperature-dependent material p...

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Published in: European Journal of Mechanics - A/Solids
ISSN: 0997-7538
Published: 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa49957
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first_indexed 2019-04-15T09:29:07Z
last_indexed 2019-07-17T15:33:57Z
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spelling 2019-07-17T11:12:20.5641025 v2 49957 2019-04-11 A finite element model for the thermo-elastic analysis of functionally graded porous nanobeams 5894777b8f9c6e64bde3568d68078d40 Michael Friswell Michael Friswell true false 2019-04-11 FGSEN In this study, for the first time, a nonlocal finite element model is proposed to analyse thermo-elastic behaviour of imperfect functionally graded porous nanobeams (P-FG) on the basis of nonlocal elasticity theory and employing a double-parameter elastic foundation. Temperature-dependent material properties are considered for the P-FG nanobeam, which are assumed to change continuously through the thickness based on the power-law form. The size effects are incorporated in the framework of the nonlocal elasticity theory of Eringen. The equations of motion are achieved based on first-order shear deformation beam theory through Hamilton's principle. Based on the obtained numerical results, it is observed that the proposed beam element can provide accurate buckling and frequency results for the P-FG nanobeams as compared with some benchmark results in the literature. The detailed variational and finite element procedure are presented and numerical examinations are performed. A parametric study is performed to investigate the influence of several parameters such as porosity volume fraction, porosity distribution, thermal loading, material graduation, nonlocal parameter, slenderness ratio and elastic foundation stiffness on the critical buckling temperature and the nondimensional fundamental frequencies of the P-FG nanobeams. Based on the results of this study, a porous FG nanobeam has a higher thermal buckling resistance and natural frequency compared to a perfect FG nanobeam. Also, uniform distributions of porosity result in greater critical buckling temperatures and vibration frequencies, in comparison with functional distributions of porosities. Journal Article European Journal of Mechanics - A/Solids 0997-7538 Thermal buckling, Thermal vibration, Porous functionally graded nanobeam, Finite elements, Nonlocal elasticity 31 12 2019 2019-12-31 10.1016/j.euromechsol.2019.04.002 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2019-07-17T11:12:20.5641025 2019-04-11T08:52:27.7011356 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Arash Imani Aria 1 Timon Rabczuk 2 Michael Friswell 3 0049957-11042019085511.pdf aria2019(3)v2.pdf 2019-04-11T08:55:11.2130000 Output 12447926 application/pdf Accepted Manuscript true 2020-04-05T00:00:00.0000000 true eng
title A finite element model for the thermo-elastic analysis of functionally graded porous nanobeams
spellingShingle A finite element model for the thermo-elastic analysis of functionally graded porous nanobeams
Michael Friswell
title_short A finite element model for the thermo-elastic analysis of functionally graded porous nanobeams
title_full A finite element model for the thermo-elastic analysis of functionally graded porous nanobeams
title_fullStr A finite element model for the thermo-elastic analysis of functionally graded porous nanobeams
title_full_unstemmed A finite element model for the thermo-elastic analysis of functionally graded porous nanobeams
title_sort A finite element model for the thermo-elastic analysis of functionally graded porous nanobeams
author_id_str_mv 5894777b8f9c6e64bde3568d68078d40
author_id_fullname_str_mv 5894777b8f9c6e64bde3568d68078d40_***_Michael Friswell
author Michael Friswell
author2 Arash Imani Aria
Timon Rabczuk
Michael Friswell
format Journal article
container_title European Journal of Mechanics - A/Solids
publishDate 2019
institution Swansea University
issn 0997-7538
doi_str_mv 10.1016/j.euromechsol.2019.04.002
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 study, for the first time, a nonlocal finite element model is proposed to analyse thermo-elastic behaviour of imperfect functionally graded porous nanobeams (P-FG) on the basis of nonlocal elasticity theory and employing a double-parameter elastic foundation. Temperature-dependent material properties are considered for the P-FG nanobeam, which are assumed to change continuously through the thickness based on the power-law form. The size effects are incorporated in the framework of the nonlocal elasticity theory of Eringen. The equations of motion are achieved based on first-order shear deformation beam theory through Hamilton's principle. Based on the obtained numerical results, it is observed that the proposed beam element can provide accurate buckling and frequency results for the P-FG nanobeams as compared with some benchmark results in the literature. The detailed variational and finite element procedure are presented and numerical examinations are performed. A parametric study is performed to investigate the influence of several parameters such as porosity volume fraction, porosity distribution, thermal loading, material graduation, nonlocal parameter, slenderness ratio and elastic foundation stiffness on the critical buckling temperature and the nondimensional fundamental frequencies of the P-FG nanobeams. Based on the results of this study, a porous FG nanobeam has a higher thermal buckling resistance and natural frequency compared to a perfect FG nanobeam. Also, uniform distributions of porosity result in greater critical buckling temperatures and vibration frequencies, in comparison with functional distributions of porosities.
published_date 2019-12-31T04:01:14Z
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score 10.999252

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