No Cover Image

Journal article 814 views 286 downloads

Effective in-plane elastic moduli of quasi-random spatially irregular hexagonal lattices

Tanmoy Mukhopadhyay, Sondipon Adhikari

International Journal of Engineering Science, Volume: 119, Pages: 142 - 179

Swansea University Author: Sondipon Adhikari

Check full text

DOI (Published version): 10.1016/j.ijengsci.2017.06.004

Abstract

An analytical framework is developed for predicting the effective in-plane elastic moduli (longitudinal and transverse Young’s modulus, Poisson’s ratios and shear modulus) of irregular hexagonal lattices with generalized form of spatially random structural geometry. On the basis of a mechanics based...

Full description

Published in: International Journal of Engineering Science
ISSN: 0020-7225
Published: 2017
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa34398
Tags: Add Tag
No Tags, Be the first to tag this record!
first_indexed 2017-06-20T20:09:32Z
last_indexed 2018-02-09T05:24:28Z
id cronfa34398
recordtype SURis
fullrecord <?xml version="1.0"?><rfc1807><datestamp>2017-10-03T16:35:03.7160336</datestamp><bib-version>v2</bib-version><id>34398</id><entry>2017-06-20</entry><title>Effective in-plane elastic moduli of quasi-random spatially irregular hexagonal 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>2017-06-20</date><deptcode>FGSEN</deptcode><abstract>An analytical framework is developed for predicting the effective in-plane elastic moduli (longitudinal and transverse Young&#x2019;s modulus, Poisson&#x2019;s ratios and shear modulus) of irregular hexagonal lattices with generalized form of spatially random structural geometry. On the basis of a mechanics based bottom-up multi-step approach, computationally efficient closed-form formulae are derived in this paper. As a special case when there is no irregularity, the derived analytical expressions reduce to the respective well known formulae of regular honeycombs available in literature. Previous analytical investigations include the derivation of effective in-plane elastic moduli for hexagonal lattices with spatially random variation of cell angles, which is a special case of the generalized form of irregularity in material and structural attributes considered in this paper. The present study also includes development of a highly generalized finite element code for obtaining equivalent elastic properties of random lattices, which is employed to validate the proposed analytical formulae. The statistical results of elastic moduli obtained using the developed analytical expressions and using direct finite element simulations are noticed to be in good agreement affirming the accuracy and validity of the proposed analytical framework. All the in-plane elastic moduli are found to be significantly influenced by spatially random irregularity resulting in a decrease of the mean values for the two Young&#x2019;s moduli and two Poisson&#x2019;s ratios, while an increase of the mean value for the shear modulus.</abstract><type>Journal Article</type><journal>International Journal of Engineering Science</journal><volume>119</volume><paginationStart>142</paginationStart><paginationEnd>179</paginationEnd><publisher/><issnPrint>0020-7225</issnPrint><keywords>Hexagonal lattice; Spatial irregularity; In-plane elastic moduli; Cellular structure; Honeycomb, Quasi-periodicity</keywords><publishedDay>31</publishedDay><publishedMonth>12</publishedMonth><publishedYear>2017</publishedYear><publishedDate>2017-12-31</publishedDate><doi>10.1016/j.ijengsci.2017.06.004</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>2017-10-03T16:35:03.7160336</lastEdited><Created>2017-06-20T14:22:18.0396156</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>Tanmoy</firstname><surname>Mukhopadhyay</surname><order>1</order></author><author><firstname>Sondipon</firstname><surname>Adhikari</surname><order>2</order></author></authors><documents><document><filename>0034398-04082017090057.pdf</filename><originalFilename>adhikari2017.pdf</originalFilename><uploaded>2017-08-04T09:00:57.0670000</uploaded><type>Output</type><contentLength>5190714</contentLength><contentType>application/pdf</contentType><version>Accepted Manuscript</version><cronfaStatus>true</cronfaStatus><embargoDate>2018-06-20T00:00:00.0000000</embargoDate><copyrightCorrect>true</copyrightCorrect><language>eng</language></document></documents><OutputDurs/></rfc1807>
spelling 2017-10-03T16:35:03.7160336 v2 34398 2017-06-20 Effective in-plane elastic moduli of quasi-random spatially irregular hexagonal lattices 4ea84d67c4e414f5ccbd7593a40f04d3 Sondipon Adhikari Sondipon Adhikari true false 2017-06-20 FGSEN An analytical framework is developed for predicting the effective in-plane elastic moduli (longitudinal and transverse Young’s modulus, Poisson’s ratios and shear modulus) of irregular hexagonal lattices with generalized form of spatially random structural geometry. On the basis of a mechanics based bottom-up multi-step approach, computationally efficient closed-form formulae are derived in this paper. As a special case when there is no irregularity, the derived analytical expressions reduce to the respective well known formulae of regular honeycombs available in literature. Previous analytical investigations include the derivation of effective in-plane elastic moduli for hexagonal lattices with spatially random variation of cell angles, which is a special case of the generalized form of irregularity in material and structural attributes considered in this paper. The present study also includes development of a highly generalized finite element code for obtaining equivalent elastic properties of random lattices, which is employed to validate the proposed analytical formulae. The statistical results of elastic moduli obtained using the developed analytical expressions and using direct finite element simulations are noticed to be in good agreement affirming the accuracy and validity of the proposed analytical framework. All the in-plane elastic moduli are found to be significantly influenced by spatially random irregularity resulting in a decrease of the mean values for the two Young’s moduli and two Poisson’s ratios, while an increase of the mean value for the shear modulus. Journal Article International Journal of Engineering Science 119 142 179 0020-7225 Hexagonal lattice; Spatial irregularity; In-plane elastic moduli; Cellular structure; Honeycomb, Quasi-periodicity 31 12 2017 2017-12-31 10.1016/j.ijengsci.2017.06.004 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2017-10-03T16:35:03.7160336 2017-06-20T14:22:18.0396156 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Tanmoy Mukhopadhyay 1 Sondipon Adhikari 2 0034398-04082017090057.pdf adhikari2017.pdf 2017-08-04T09:00:57.0670000 Output 5190714 application/pdf Accepted Manuscript true 2018-06-20T00:00:00.0000000 true eng
title Effective in-plane elastic moduli of quasi-random spatially irregular hexagonal lattices
spellingShingle Effective in-plane elastic moduli of quasi-random spatially irregular hexagonal lattices
Sondipon Adhikari
title_short Effective in-plane elastic moduli of quasi-random spatially irregular hexagonal lattices
title_full Effective in-plane elastic moduli of quasi-random spatially irregular hexagonal lattices
title_fullStr Effective in-plane elastic moduli of quasi-random spatially irregular hexagonal lattices
title_full_unstemmed Effective in-plane elastic moduli of quasi-random spatially irregular hexagonal lattices
title_sort Effective in-plane elastic moduli of quasi-random spatially irregular hexagonal lattices
author_id_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3
author_id_fullname_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3_***_Sondipon Adhikari
author Sondipon Adhikari
author2 Tanmoy Mukhopadhyay
Sondipon Adhikari
format Journal article
container_title International Journal of Engineering Science
container_volume 119
container_start_page 142
publishDate 2017
institution Swansea University
issn 0020-7225
doi_str_mv 10.1016/j.ijengsci.2017.06.004
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 predicting the effective in-plane elastic moduli (longitudinal and transverse Young’s modulus, Poisson’s ratios and shear modulus) of irregular hexagonal lattices with generalized form of spatially random structural geometry. On the basis of a mechanics based bottom-up multi-step approach, computationally efficient closed-form formulae are derived in this paper. As a special case when there is no irregularity, the derived analytical expressions reduce to the respective well known formulae of regular honeycombs available in literature. Previous analytical investigations include the derivation of effective in-plane elastic moduli for hexagonal lattices with spatially random variation of cell angles, which is a special case of the generalized form of irregularity in material and structural attributes considered in this paper. The present study also includes development of a highly generalized finite element code for obtaining equivalent elastic properties of random lattices, which is employed to validate the proposed analytical formulae. The statistical results of elastic moduli obtained using the developed analytical expressions and using direct finite element simulations are noticed to be in good agreement affirming the accuracy and validity of the proposed analytical framework. All the in-plane elastic moduli are found to be significantly influenced by spatially random irregularity resulting in a decrease of the mean values for the two Young’s moduli and two Poisson’s ratios, while an increase of the mean value for the shear modulus.
published_date 2017-12-31T03:42:40Z
_version_ 1763751976618688512
score 11.012678

Similar Items