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Static and dynamic analysis of homogeneous Micropolar-Cosserat panels

S. K. Singh Orcid Logo, A. Banerjee Orcid Logo, R. K. Varma Orcid Logo, Sondipon Adhikari, S. Das Orcid Logo

Mechanics of Advanced Materials and Structures, Volume: 29, Issue: 19, Pages: 2757 - 2768

Swansea University Author: Sondipon Adhikari

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DOI (Published version): 10.1080/15376494.2021.1877377

Abstract

This paper communicates an analytical study on computing the natural frequencies and in-plane deflections caused by static forces in the panel walls using Euler-Bernoulli, Timoshenko, Timoshenko and Goodier, Couple-stress, and Micropolar-Cosserat theory. The study highlights the formulation of the t...

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Published in: Mechanics of Advanced Materials and Structures
ISSN: 1537-6494 1537-6532
Published: Informa UK Limited 2022
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URI: https://cronfa.swan.ac.uk/Record/cronfa56321
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first_indexed 2021-02-24T15:16:08Z
last_indexed 2023-01-11T14:35:28Z
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spelling 2022-07-25T17:32:26.5081410 v2 56321 2021-02-24 Static and dynamic analysis of homogeneous Micropolar-Cosserat panels 4ea84d67c4e414f5ccbd7593a40f04d3 Sondipon Adhikari Sondipon Adhikari true false 2021-02-24 FGSEN This paper communicates an analytical study on computing the natural frequencies and in-plane deflections caused by static forces in the panel walls using Euler-Bernoulli, Timoshenko, Timoshenko and Goodier, Couple-stress, and Micropolar-Cosserat theory. The study highlights the formulation of the transfer matrix via the state-space method in the spatial domain; from coupled governing equations of motion that arises from the Micropolar-Cosserat theory. This theory captures the novel curvature of edges and moments of the panels at energy density level due to its unique feature of asymmetric shear stresses; that emphasizes the loss of ellipticity of governing equations. The analytical solution of the Micropolar-Cosserat theory yield appropriate results compared to plane-stress simulation of the panels using finite element analysis. Journal Article Mechanics of Advanced Materials and Structures 29 19 2757 2768 Informa UK Limited 1537-6494 1537-6532 Couple-stress theory; Micropolar-Cosserat panel; size-dependent behavior; eigenvalue problems 27 7 2022 2022-07-27 10.1080/15376494.2021.1877377 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2022-07-25T17:32:26.5081410 2021-02-24T15:15:12.1722449 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised S. K. Singh 0000-0002-7227-548x 1 A. Banerjee 0000-0002-3157-6200 2 R. K. Varma 0000-0003-3440-4794 3 Sondipon Adhikari 4 S. Das 0000-0002-4262-9398 5 56321__19376__dae828ddb5334417beb23c88f257c8b3.pdf 56321.pdf 2021-02-26T09:56:36.9733842 Output 954778 application/pdf Accepted Manuscript true 2022-02-09T00:00:00.0000000 Released under the terms of a Creative Commons Attribution Non-Commercial No Derivatives License (CC-BY-NC-ND) true eng http://creativecommons.org/licenses/by-nc-nd/4.0/
title Static and dynamic analysis of homogeneous Micropolar-Cosserat panels
spellingShingle Static and dynamic analysis of homogeneous Micropolar-Cosserat panels
Sondipon Adhikari
title_short Static and dynamic analysis of homogeneous Micropolar-Cosserat panels
title_full Static and dynamic analysis of homogeneous Micropolar-Cosserat panels
title_fullStr Static and dynamic analysis of homogeneous Micropolar-Cosserat panels
title_full_unstemmed Static and dynamic analysis of homogeneous Micropolar-Cosserat panels
title_sort Static and dynamic analysis of homogeneous Micropolar-Cosserat panels
author_id_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3
author_id_fullname_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3_***_Sondipon Adhikari
author Sondipon Adhikari
author2 S. K. Singh
A. Banerjee
R. K. Varma
Sondipon Adhikari
S. Das
format Journal article
container_title Mechanics of Advanced Materials and Structures
container_volume 29
container_issue 19
container_start_page 2757
publishDate 2022
institution Swansea University
issn 1537-6494
1537-6532
doi_str_mv 10.1080/15376494.2021.1877377
publisher Informa UK Limited
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 This paper communicates an analytical study on computing the natural frequencies and in-plane deflections caused by static forces in the panel walls using Euler-Bernoulli, Timoshenko, Timoshenko and Goodier, Couple-stress, and Micropolar-Cosserat theory. The study highlights the formulation of the transfer matrix via the state-space method in the spatial domain; from coupled governing equations of motion that arises from the Micropolar-Cosserat theory. This theory captures the novel curvature of edges and moments of the panels at energy density level due to its unique feature of asymmetric shear stresses; that emphasizes the loss of ellipticity of governing equations. The analytical solution of the Micropolar-Cosserat theory yield appropriate results compared to plane-stress simulation of the panels using finite element analysis.
published_date 2022-07-27T04:11:11Z
_version_ 1763753770783604736
score 11.037253

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