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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
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa56321
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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 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.
Keywords: Couple-stress theory; Micropolar-Cosserat panel; size-dependent behavior; eigenvalue problems
College: Faculty of Science and Engineering
Issue: 19
Start Page: 2757
End Page: 2768

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