No Cover Image

Journal article 858 views 290 downloads

Frequency domain homogenization for the viscoelastic properties of spatially correlated quasi-periodic lattices

T. Mukhopadhyay, S. Adhikari, A. Batou, Sondipon Adhikari

International Journal of Mechanical Sciences

Swansea University Author: Sondipon Adhikari

Check full text

DOI (Published version): 10.1016/j.ijmecsci.2017.09.004

Abstract

An analytical framework is developed for investigating the effect of viscoelasticity on irregular hexagonal lattices. At room temperature many polymers are found to be near their glass temperature. Elastic moduli of honeycombs made of such materials are not constant, but changes in the time or frequ...

Full description

Published in: International Journal of Mechanical Sciences
ISSN: 0020-7403
Published: 2017
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa35249
Tags: Add Tag
No Tags, Be the first to tag this record!
first_indexed 2017-09-13T18:53:36Z
last_indexed 2018-02-09T05:26:13Z
id cronfa35249
recordtype SURis
fullrecord <?xml version="1.0"?><rfc1807><datestamp>2017-09-13T15:36:38.0570051</datestamp><bib-version>v2</bib-version><id>35249</id><entry>2017-09-13</entry><title>Frequency domain homogenization for the viscoelastic properties of spatially correlated quasi-periodic lattices</title><swanseaauthors><author><sid>4ea84d67c4e414f5ccbd7593a40f04d3</sid><firstname>Sondipon</firstname><surname>Adhikari</surname><name>Sondipon Adhikari</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2017-09-13</date><deptcode>FGSEN</deptcode><abstract>An analytical framework is developed for investigating the effect of viscoelasticity on irregular hexagonal lattices. At room temperature many polymers are found to be near their glass temperature. Elastic moduli of honeycombs made of such materials are not constant, but changes in the time or frequency domain. Thus consideration of viscoelastic properties are essential for such honeycombs. Irregularity in lattice structures being inevitable from practical point of view, analysis of the compound effect considering both irregularity and viscoelasticty is crucial for such structural forms. On the basis of a mechanics based bottom-up approach, computationally efficient closed-form formulae are derived in frequency domain. The spatially correlated structural and material attributes are obtained based on Karhunen-Lo&#xE8;ve expansion, which is integrated with the developed analytical approach to quantify the viscoelastic effect for irregular lattices. Consideration of such spatially correlated behaviour can simulate the practical stochastic system more closely. The two effective complex Young&#x2019;s moduli and shear modulus are found to be dependent on the viscoelastic parameters, while the two in-plane effective Poisson&#x2019;s ratios are found to be independent of viscoelastic parameters and frequency. Results are presented in both deterministic and stochastic regime, wherein it is observed that the amplitude of Young&#x2019;s moduli and shear modulus are significantly amplified in the frequency domain. The response bounds are quantified considering two different forms of irregularity, randomly inhomogeneous irregularity and randomly homogeneous irregularity. The computationally efficient analytical approach presented in this study can be quite attractive for practical purposes to analyse and design lattices with predominantly viscoelastic behaviour along with consideration of structural and material irregularity.</abstract><type>Journal Article</type><journal>International Journal of Mechanical Sciences</journal><publisher/><issnPrint>0020-7403</issnPrint><keywords>Hexagonal lattice; Spatial irregularity; In-plane elastic moduli; Viscoelastic behaviour; Frequency domain analysis; Karhunen-Lo&#xE8;ve expansion</keywords><publishedDay>31</publishedDay><publishedMonth>12</publishedMonth><publishedYear>2017</publishedYear><publishedDate>2017-12-31</publishedDate><doi>10.1016/j.ijmecsci.2017.09.004</doi><url/><notes/><college>COLLEGE NANME</college><department>Science and Engineering - Faculty</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>FGSEN</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2017-09-13T15:36:38.0570051</lastEdited><Created>2017-09-13T15:10:35.7781910</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Engineering and Applied Sciences - Uncategorised</level></path><authors><author><firstname>T.</firstname><surname>Mukhopadhyay</surname><order>1</order></author><author><firstname>S.</firstname><surname>Adhikari</surname><order>2</order></author><author><firstname>A.</firstname><surname>Batou</surname><order>3</order></author><author><firstname>Sondipon</firstname><surname>Adhikari</surname><order>4</order></author></authors><documents><document><filename>0035249-13092017153117.pdf</filename><originalFilename>Mukhopadhyay2017(2).pdf</originalFilename><uploaded>2017-09-13T15:31:17.4900000</uploaded><type>Output</type><contentLength>16410474</contentLength><contentType>application/pdf</contentType><version>Accepted Manuscript</version><cronfaStatus>true</cronfaStatus><embargoDate>2018-09-08T00:00:00.0000000</embargoDate><copyrightCorrect>false</copyrightCorrect><language>eng</language></document></documents><OutputDurs/></rfc1807>
spelling 2017-09-13T15:36:38.0570051 v2 35249 2017-09-13 Frequency domain homogenization for the viscoelastic properties of spatially correlated quasi-periodic lattices 4ea84d67c4e414f5ccbd7593a40f04d3 Sondipon Adhikari Sondipon Adhikari true false 2017-09-13 FGSEN An analytical framework is developed for investigating the effect of viscoelasticity on irregular hexagonal lattices. At room temperature many polymers are found to be near their glass temperature. Elastic moduli of honeycombs made of such materials are not constant, but changes in the time or frequency domain. Thus consideration of viscoelastic properties are essential for such honeycombs. Irregularity in lattice structures being inevitable from practical point of view, analysis of the compound effect considering both irregularity and viscoelasticty is crucial for such structural forms. On the basis of a mechanics based bottom-up approach, computationally efficient closed-form formulae are derived in frequency domain. The spatially correlated structural and material attributes are obtained based on Karhunen-Loève expansion, which is integrated with the developed analytical approach to quantify the viscoelastic effect for irregular lattices. Consideration of such spatially correlated behaviour can simulate the practical stochastic system more closely. The two effective complex Young’s moduli and shear modulus are found to be dependent on the viscoelastic parameters, while the two in-plane effective Poisson’s ratios are found to be independent of viscoelastic parameters and frequency. Results are presented in both deterministic and stochastic regime, wherein it is observed that the amplitude of Young’s moduli and shear modulus are significantly amplified in the frequency domain. The response bounds are quantified considering two different forms of irregularity, randomly inhomogeneous irregularity and randomly homogeneous irregularity. The computationally efficient analytical approach presented in this study can be quite attractive for practical purposes to analyse and design lattices with predominantly viscoelastic behaviour along with consideration of structural and material irregularity. Journal Article International Journal of Mechanical Sciences 0020-7403 Hexagonal lattice; Spatial irregularity; In-plane elastic moduli; Viscoelastic behaviour; Frequency domain analysis; Karhunen-Loève expansion 31 12 2017 2017-12-31 10.1016/j.ijmecsci.2017.09.004 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2017-09-13T15:36:38.0570051 2017-09-13T15:10:35.7781910 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised T. Mukhopadhyay 1 S. Adhikari 2 A. Batou 3 Sondipon Adhikari 4 0035249-13092017153117.pdf Mukhopadhyay2017(2).pdf 2017-09-13T15:31:17.4900000 Output 16410474 application/pdf Accepted Manuscript true 2018-09-08T00:00:00.0000000 false eng
title Frequency domain homogenization for the viscoelastic properties of spatially correlated quasi-periodic lattices
spellingShingle Frequency domain homogenization for the viscoelastic properties of spatially correlated quasi-periodic lattices
Sondipon Adhikari
title_short Frequency domain homogenization for the viscoelastic properties of spatially correlated quasi-periodic lattices
title_full Frequency domain homogenization for the viscoelastic properties of spatially correlated quasi-periodic lattices
title_fullStr Frequency domain homogenization for the viscoelastic properties of spatially correlated quasi-periodic lattices
title_full_unstemmed Frequency domain homogenization for the viscoelastic properties of spatially correlated quasi-periodic lattices
title_sort Frequency domain homogenization for the viscoelastic properties of spatially correlated quasi-periodic lattices
author_id_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3
author_id_fullname_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3_***_Sondipon Adhikari
author Sondipon Adhikari
author2 T. Mukhopadhyay
S. Adhikari
A. Batou
Sondipon Adhikari
format Journal article
container_title International Journal of Mechanical Sciences
publishDate 2017
institution Swansea University
issn 0020-7403
doi_str_mv 10.1016/j.ijmecsci.2017.09.004
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 An analytical framework is developed for investigating the effect of viscoelasticity on irregular hexagonal lattices. At room temperature many polymers are found to be near their glass temperature. Elastic moduli of honeycombs made of such materials are not constant, but changes in the time or frequency domain. Thus consideration of viscoelastic properties are essential for such honeycombs. Irregularity in lattice structures being inevitable from practical point of view, analysis of the compound effect considering both irregularity and viscoelasticty is crucial for such structural forms. On the basis of a mechanics based bottom-up approach, computationally efficient closed-form formulae are derived in frequency domain. The spatially correlated structural and material attributes are obtained based on Karhunen-Loève expansion, which is integrated with the developed analytical approach to quantify the viscoelastic effect for irregular lattices. Consideration of such spatially correlated behaviour can simulate the practical stochastic system more closely. The two effective complex Young’s moduli and shear modulus are found to be dependent on the viscoelastic parameters, while the two in-plane effective Poisson’s ratios are found to be independent of viscoelastic parameters and frequency. Results are presented in both deterministic and stochastic regime, wherein it is observed that the amplitude of Young’s moduli and shear modulus are significantly amplified in the frequency domain. The response bounds are quantified considering two different forms of irregularity, randomly inhomogeneous irregularity and randomly homogeneous irregularity. The computationally efficient analytical approach presented in this study can be quite attractive for practical purposes to analyse and design lattices with predominantly viscoelastic behaviour along with consideration of structural and material irregularity.
published_date 2017-12-31T03:43:48Z
_version_ 1763752048328704000
score 11.012678

Similar Items