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Spectral element formulation for damped transversely isotropic Micropolar-Cosserat layered composite panels

S.K. Singh, A. Banerjee, R.K. Varma, Sondipon Adhikari

Mechanics of Materials, Volume: 160, Start page: 103898

Swansea University Author: Sondipon Adhikari

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DOI (Published version): 10.1016/j.mechmat.2021.103898

Abstract

The present paper aims to develop governing equation of motion for in-plane dynamics of Micropolar-Cosserat composite models with damping. Constitutive model of linear elastic damping system is formulated for an anisotropic domain fiber-reinforced composite panels (FRCP); undergoing large macro as w...

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Published in: Mechanics of Materials
ISSN: 0167-6636
Published: Elsevier BV 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa57226
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spelling 2021-07-13T17:10:13.1731276 v2 57226 2021-06-28 Spectral element formulation for damped transversely isotropic Micropolar-Cosserat layered composite panels 4ea84d67c4e414f5ccbd7593a40f04d3 Sondipon Adhikari Sondipon Adhikari true false 2021-06-28 FGSEN The present paper aims to develop governing equation of motion for in-plane dynamics of Micropolar-Cosserat composite models with damping. Constitutive model of linear elastic damping system is formulated for an anisotropic domain fiber-reinforced composite panels (FRCP); undergoing large macro as well as micro geometric deformations. The air damping and Kelvin–Voigt strain linear rate damping have been considered into the governing equations of model, while mathematical modelling and simulation of composite panel is restricted to the free-vibration and in-plane static response. The composite panel has been modeled as a Micropolar-Cosserat continuum assuming second-order micro-length of the fiber deformation; by embedding an additional equation of kinematics through the micro-rotation degree of freedom in the classical continuum model. This account for the in-plane curvature bending effects of composite panels during the loss of ellipticity of the governing equations. A transformation matrix based on Rodrigues’ rotational formula for transversely isotropic Micropolar-Cosserat lamina has been introduced; which reduces it to the well-known non-classical (classical and couple-stress) elastic formulation. The equivalent single layer (ESL) resultant stresses of FRCP in global coordinates is introduced to calculate in-plane damped and undamped response. The geometric and material linear elastic model for FRCP is derived using the spectral element method within state–space approach, and the corresponding plane-stress finite element model is validated with the undamped responses. Analytical response of damped composite panel is proposed based on available undamped simulation results. Journal Article Mechanics of Materials 160 103898 Elsevier BV 0167-6636 Constitutive modelling, Transformation matrix, Size-dependent behavior, Micropolar-Cosserat laminate, Spectral element method, Eigenvalue problems, Internal damped response 1 9 2021 2021-09-01 10.1016/j.mechmat.2021.103898 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2021-07-13T17:10:13.1731276 2021-06-28T11:53:03.2021595 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised S.K. Singh 1 A. Banerjee 2 R.K. Varma 3 Sondipon Adhikari 4 57226__20278__6920014229e849b298d8fed20d6358ee.pdf 57226.pdf 2021-06-28T15:28:55.8250132 Output 1515537 application/pdf Accepted Manuscript true 2022-06-24T00:00:00.0000000 Released under the terms of a Creative Commons Attribution NonCommercial NoDerivatives 4.0 International License true eng http://creativecommons.org/licenses/by-nc-nd/4.0/
title Spectral element formulation for damped transversely isotropic Micropolar-Cosserat layered composite panels
spellingShingle Spectral element formulation for damped transversely isotropic Micropolar-Cosserat layered composite panels
Sondipon Adhikari
title_short Spectral element formulation for damped transversely isotropic Micropolar-Cosserat layered composite panels
title_full Spectral element formulation for damped transversely isotropic Micropolar-Cosserat layered composite panels
title_fullStr Spectral element formulation for damped transversely isotropic Micropolar-Cosserat layered composite panels
title_full_unstemmed Spectral element formulation for damped transversely isotropic Micropolar-Cosserat layered composite panels
title_sort Spectral element formulation for damped transversely isotropic Micropolar-Cosserat layered composite 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
format Journal article
container_title Mechanics of Materials
container_volume 160
container_start_page 103898
publishDate 2021
institution Swansea University
issn 0167-6636
doi_str_mv 10.1016/j.mechmat.2021.103898
publisher Elsevier BV
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
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description The present paper aims to develop governing equation of motion for in-plane dynamics of Micropolar-Cosserat composite models with damping. Constitutive model of linear elastic damping system is formulated for an anisotropic domain fiber-reinforced composite panels (FRCP); undergoing large macro as well as micro geometric deformations. The air damping and Kelvin–Voigt strain linear rate damping have been considered into the governing equations of model, while mathematical modelling and simulation of composite panel is restricted to the free-vibration and in-plane static response. The composite panel has been modeled as a Micropolar-Cosserat continuum assuming second-order micro-length of the fiber deformation; by embedding an additional equation of kinematics through the micro-rotation degree of freedom in the classical continuum model. This account for the in-plane curvature bending effects of composite panels during the loss of ellipticity of the governing equations. A transformation matrix based on Rodrigues’ rotational formula for transversely isotropic Micropolar-Cosserat lamina has been introduced; which reduces it to the well-known non-classical (classical and couple-stress) elastic formulation. The equivalent single layer (ESL) resultant stresses of FRCP in global coordinates is introduced to calculate in-plane damped and undamped response. The geometric and material linear elastic model for FRCP is derived using the spectral element method within state–space approach, and the corresponding plane-stress finite element model is validated with the undamped responses. Analytical response of damped composite panel is proposed based on available undamped simulation results.
published_date 2021-09-01T04:12:48Z
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score 11.012678

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