No Cover Image

Journal article 446 views 109 downloads

The in-plane mechanical properties of highly compressible and stretchable 2D lattices

Sondipon Adhikari

Composite Structures, Volume: 272, Start page: 114167

Swansea University Author: Sondipon Adhikari

  • 56980.pdf

    PDF | Accepted Manuscript

    ©2021 All rights reserved. All article content, except where otherwise noted, is licensed under a Creative Commons Attribution Non-Commercial No Derivatives License (CC-BY-NC-ND)

    Download (6.12MB)

Check full text

DOI (Published version): 10.1016/j.compstruct.2021.114167

Abstract

Highly compressible and stretchable lattice materials are perfectly suitable to be exploited in a range of cutting edge engineering applications such as low band-gap acoustic metamaterials, vibration absorbers, soft robotics, stretchable electronics and stent devices. Physics-based understanding and...

Full description

Published in: Composite Structures
ISSN: 0263-8223
Published: Elsevier BV 2021
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa56980
Tags: Add Tag
No Tags, Be the first to tag this record!
first_indexed 2021-05-28T08:01:48Z
last_indexed 2021-06-16T03:22:07Z
id cronfa56980
recordtype SURis
fullrecord <?xml version="1.0"?><rfc1807><datestamp>2021-06-15T15:22:54.5546627</datestamp><bib-version>v2</bib-version><id>56980</id><entry>2021-05-28</entry><title>The in-plane mechanical properties of highly compressible and stretchable 2D 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>2021-05-28</date><deptcode>FGSEN</deptcode><abstract>Highly compressible and stretchable lattice materials are perfectly suitable to be exploited in a range of cutting edge engineering applications such as low band-gap acoustic metamaterials, vibration absorbers, soft robotics, stretchable electronics and stent devices. Physics-based understanding and efficient computational methods are of paramount importance for the analysis and design of such cellular metamaterials. This paper develops the analytical framework to understand the nonlinear mechanics of hexagonal lattices subject to in-plane compressive and tensile stresses. Nonlinear equivalent elastic moduli and Poisson&#x2019;s ratios of the stressed lattice are expressed through the coefficients of the stiffness matrices of the constitutive beam elements. The stiffness coefficients, in turn, are derived from the transcendental displacement function which is the exact solution of the corresponding governing ordinary differential equation with appropriate boundary conditions. The closed-form analytical expressions of the equivalent elastic properties of the lattice are expressed in terms of trigonometric functions for the case of compressive stress and hyperbolic functions for the case of tensile stress. The general expressions are then used to investigate three special cases of wide interest, namely, auxetic hexagonal lattices, rhombus-shaped lattices and rectangular lattices. Analytical expressions are validated using independent nonlinear finite element simulation results. Numerical results are displayed for applied compressions and tensions in both directions separately and together. The equivalent elastic moduli show a softening effect under compression and a stiffening effect under tension. The Poisson&#x2019;s ratios are not significantly affected by the applied stresses. The proposed analytical approach and the new closed-form expressions provide a computationally efficient and physically intuitive framework for the analysis and parametric design of lattice materials under external stresses.</abstract><type>Journal Article</type><journal>Composite Structures</journal><volume>272</volume><journalNumber/><paginationStart>114167</paginationStart><paginationEnd/><publisher>Elsevier BV</publisher><placeOfPublication/><isbnPrint/><isbnElectronic/><issnPrint>0263-8223</issnPrint><issnElectronic/><keywords>Hexagonal lattices, stiffness matrix, homogeneous properties, elastic constants, 2D materials, nonlinear analysis</keywords><publishedDay>15</publishedDay><publishedMonth>9</publishedMonth><publishedYear>2021</publishedYear><publishedDate>2021-09-15</publishedDate><doi>10.1016/j.compstruct.2021.114167</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>2021-06-15T15:22:54.5546627</lastEdited><Created>2021-05-28T08:58:41.5130932</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>Sondipon</firstname><surname>Adhikari</surname><order>1</order></author></authors><documents><document><filename>56980__20039__b8e0ee2150da4d2492b011d210e0a4b1.pdf</filename><originalFilename>56980.pdf</originalFilename><uploaded>2021-06-01T10:20:18.1555048</uploaded><type>Output</type><contentLength>6419654</contentLength><contentType>application/pdf</contentType><version>Accepted Manuscript</version><cronfaStatus>true</cronfaStatus><embargoDate>2022-05-26T00:00:00.0000000</embargoDate><documentNotes>&#xA9;2021 All rights reserved. All article content, except where otherwise noted, is licensed under a Creative Commons Attribution Non-Commercial No Derivatives License (CC-BY-NC-ND)</documentNotes><copyrightCorrect>true</copyrightCorrect><language>eng</language><licence>http://creativecommons.org/licenses/by-nc-nd/4.0/</licence></document></documents><OutputDurs/></rfc1807>
spelling 2021-06-15T15:22:54.5546627 v2 56980 2021-05-28 The in-plane mechanical properties of highly compressible and stretchable 2D lattices 4ea84d67c4e414f5ccbd7593a40f04d3 Sondipon Adhikari Sondipon Adhikari true false 2021-05-28 FGSEN Highly compressible and stretchable lattice materials are perfectly suitable to be exploited in a range of cutting edge engineering applications such as low band-gap acoustic metamaterials, vibration absorbers, soft robotics, stretchable electronics and stent devices. Physics-based understanding and efficient computational methods are of paramount importance for the analysis and design of such cellular metamaterials. This paper develops the analytical framework to understand the nonlinear mechanics of hexagonal lattices subject to in-plane compressive and tensile stresses. Nonlinear equivalent elastic moduli and Poisson’s ratios of the stressed lattice are expressed through the coefficients of the stiffness matrices of the constitutive beam elements. The stiffness coefficients, in turn, are derived from the transcendental displacement function which is the exact solution of the corresponding governing ordinary differential equation with appropriate boundary conditions. The closed-form analytical expressions of the equivalent elastic properties of the lattice are expressed in terms of trigonometric functions for the case of compressive stress and hyperbolic functions for the case of tensile stress. The general expressions are then used to investigate three special cases of wide interest, namely, auxetic hexagonal lattices, rhombus-shaped lattices and rectangular lattices. Analytical expressions are validated using independent nonlinear finite element simulation results. Numerical results are displayed for applied compressions and tensions in both directions separately and together. The equivalent elastic moduli show a softening effect under compression and a stiffening effect under tension. The Poisson’s ratios are not significantly affected by the applied stresses. The proposed analytical approach and the new closed-form expressions provide a computationally efficient and physically intuitive framework for the analysis and parametric design of lattice materials under external stresses. Journal Article Composite Structures 272 114167 Elsevier BV 0263-8223 Hexagonal lattices, stiffness matrix, homogeneous properties, elastic constants, 2D materials, nonlinear analysis 15 9 2021 2021-09-15 10.1016/j.compstruct.2021.114167 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2021-06-15T15:22:54.5546627 2021-05-28T08:58:41.5130932 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Sondipon Adhikari 1 56980__20039__b8e0ee2150da4d2492b011d210e0a4b1.pdf 56980.pdf 2021-06-01T10:20:18.1555048 Output 6419654 application/pdf Accepted Manuscript true 2022-05-26T00:00:00.0000000 ©2021 All rights reserved. All article content, except where otherwise noted, is licensed under a Creative Commons Attribution Non-Commercial No Derivatives License (CC-BY-NC-ND) true eng http://creativecommons.org/licenses/by-nc-nd/4.0/
title The in-plane mechanical properties of highly compressible and stretchable 2D lattices
spellingShingle The in-plane mechanical properties of highly compressible and stretchable 2D lattices
Sondipon Adhikari
title_short The in-plane mechanical properties of highly compressible and stretchable 2D lattices
title_full The in-plane mechanical properties of highly compressible and stretchable 2D lattices
title_fullStr The in-plane mechanical properties of highly compressible and stretchable 2D lattices
title_full_unstemmed The in-plane mechanical properties of highly compressible and stretchable 2D lattices
title_sort The in-plane mechanical properties of highly compressible and stretchable 2D lattices
author_id_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3
author_id_fullname_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3_***_Sondipon Adhikari
author Sondipon Adhikari
author2 Sondipon Adhikari
format Journal article
container_title Composite Structures
container_volume 272
container_start_page 114167
publishDate 2021
institution Swansea University
issn 0263-8223
doi_str_mv 10.1016/j.compstruct.2021.114167
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
active_str 0
description Highly compressible and stretchable lattice materials are perfectly suitable to be exploited in a range of cutting edge engineering applications such as low band-gap acoustic metamaterials, vibration absorbers, soft robotics, stretchable electronics and stent devices. Physics-based understanding and efficient computational methods are of paramount importance for the analysis and design of such cellular metamaterials. This paper develops the analytical framework to understand the nonlinear mechanics of hexagonal lattices subject to in-plane compressive and tensile stresses. Nonlinear equivalent elastic moduli and Poisson’s ratios of the stressed lattice are expressed through the coefficients of the stiffness matrices of the constitutive beam elements. The stiffness coefficients, in turn, are derived from the transcendental displacement function which is the exact solution of the corresponding governing ordinary differential equation with appropriate boundary conditions. The closed-form analytical expressions of the equivalent elastic properties of the lattice are expressed in terms of trigonometric functions for the case of compressive stress and hyperbolic functions for the case of tensile stress. The general expressions are then used to investigate three special cases of wide interest, namely, auxetic hexagonal lattices, rhombus-shaped lattices and rectangular lattices. Analytical expressions are validated using independent nonlinear finite element simulation results. Numerical results are displayed for applied compressions and tensions in both directions separately and together. The equivalent elastic moduli show a softening effect under compression and a stiffening effect under tension. The Poisson’s ratios are not significantly affected by the applied stresses. The proposed analytical approach and the new closed-form expressions provide a computationally efficient and physically intuitive framework for the analysis and parametric design of lattice materials under external stresses.
published_date 2021-09-15T04:12:21Z
_version_ 1763753844427194368
score 11.037603

Similar Items