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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
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa56321
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
Funders: 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.
Issue: 19
Start Page: 2757
End Page: 2768

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