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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 Orcid Logo, S. Das Orcid Logo

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

Swansea University Author: Sondipon Adhikari Orcid Logo

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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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last_indexed 2025-01-15T20:00:09Z
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spelling 2025-01-15T14:09:41.0871955 v2 56321 2021-02-24 Static and dynamic analysis of homogeneous Micropolar-Cosserat panels 4ea84d67c4e414f5ccbd7593a40f04d3 0000-0003-4181-3457 Sondipon Adhikari Sondipon Adhikari true false 2021-02-24 ACEM 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 Aerospace, Civil, Electrical, and Mechanical Engineering COLLEGE CODE ACEM Swansea University Not Required AB acknowledges Inspire Faculty award, Department of Science and Technology, India, grant number DST/INSPIRE/04/2018/000052 and SKS, AB, RV and SD acknowledge Indo-Canada (IC-Impact grant): DST/INT/CAN/P-03/2019 for partial financial support. 2025-01-15T14:09:41.0871955 2021-02-24T15:15:12.1722449 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering 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 0000-0003-4181-3457 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 Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering
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 2022-07-27T07:47:57Z
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score 11.056981

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