Directional mechanical response in the bulk of topological metamaterials

Mechanical metamaterials are those structures designed to convey force and motion in novel and desirable ways. Recently, Kane and Lubensky showed that lattices at the point of marginal mechanical stability (Maxwell lattices) possess a topological invariant that describes the distribution of floppy,...

Full description

Saved in:
Bibliographic Details
Published in:New journal of physics 2017-06, Vol.19 (6), p.65004
Main Author: Rocklin, D Zeb
Format: Article
Language:English
Subjects:
Energy distribution
isostatic lattice
Lattices
Mechanical analysis
mechanical response
Metamaterials
Physics
Strain
Topology
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c514t-5eba7a97d8247bc28a2030653953548028302deee9ad75f80e96228c1dd6863c3
cites cdi_FETCH-LOGICAL-c514t-5eba7a97d8247bc28a2030653953548028302deee9ad75f80e96228c1dd6863c3
container_end_page
container_issue 6
container_start_page 65004
container_title New journal of physics
container_volume 19
creator Rocklin, D Zeb
description Mechanical metamaterials are those structures designed to convey force and motion in novel and desirable ways. Recently, Kane and Lubensky showed that lattices at the point of marginal mechanical stability (Maxwell lattices) possess a topological invariant that describes the distribution of floppy, zero-energy edge modes. Here, we show that applying force at a point in the bulk of these lattices generates a directional mechanical response, in which stress or strain is induced only on one side of the force. This provides both a bulk metric for mechanical polarization and a design principle to convey stresses and strains towards or away from parts of the structure. We also characterize the effects of removing bonds on the material's structure and floppy modes, establishing a relationship between edge modes and bulk response.
doi_str_mv 10.1088/1367-2630/aa7155
format article
fullrecord <record><control><sourceid>proquest_doaj_</sourceid><recordid>TN_cdi_doaj_primary_oai_doaj_org_article_2fd9b65dcd7d465c80450a4fd21306f7</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><doaj_id>oai_doaj_org_article_2fd9b65dcd7d465c80450a4fd21306f7</doaj_id><sourcerecordid>2312605666</sourcerecordid><originalsourceid>FETCH-LOGICAL-c514t-5eba7a97d8247bc28a2030653953548028302deee9ad75f80e96228c1dd6863c3</originalsourceid><addsrcrecordid>eNp9kD1PwzAQhi0EEqWwM0ZiYCH0bMeOM6LyVakSC8yWYzutQxoHOx3496QNKgyI6U6n531PehC6xHCLQYgZpjxPCacwUyrHjB2hyeF0_Gs_RWcx1gAYC0Im6PneBat751vVJBur16p1eliDjZ1vo01cm_Rrm5Tb5j3xVdL7zjd-tWc2tlcb1dvgVBPP0Uk1DHvxPafo7fHhdf6cLl-eFvO7ZaoZzvqU2VLlqsiNIFleaiIUAQqc0YJRlgkgggIx1tpCmZxVAmzBCREaG8MFp5pO0WLsNV7Vsgtuo8Kn9MrJ_cGHlVShd7qxklSmKDkz2uQm40wLyBiorDIEDy-rfOi6Gru64D-2Nvay9tswmIiSUEw4MM75QMFI6eBjDLY6fMUgd-7lTq7cyZWj-yFyM0ac7346_8Gv_8DbupO4kFwOegAy2ZmKfgEC3JB2</addsrcrecordid><sourcetype>Open Website</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2312605666</pqid></control><display><type>article</type><title>Directional mechanical response in the bulk of topological metamaterials</title><source>Publicly Available Content Database (Proquest) (PQ_SDU_P3)</source><creator>Rocklin, D Zeb</creator><creatorcontrib>Rocklin, D Zeb</creatorcontrib><description>Mechanical metamaterials are those structures designed to convey force and motion in novel and desirable ways. Recently, Kane and Lubensky showed that lattices at the point of marginal mechanical stability (Maxwell lattices) possess a topological invariant that describes the distribution of floppy, zero-energy edge modes. Here, we show that applying force at a point in the bulk of these lattices generates a directional mechanical response, in which stress or strain is induced only on one side of the force. This provides both a bulk metric for mechanical polarization and a design principle to convey stresses and strains towards or away from parts of the structure. We also characterize the effects of removing bonds on the material's structure and floppy modes, establishing a relationship between edge modes and bulk response.</description><identifier>ISSN: 1367-2630</identifier><identifier>EISSN: 1367-2630</identifier><identifier>DOI: 10.1088/1367-2630/aa7155</identifier><identifier>CODEN: NJOPFM</identifier><language>eng</language><publisher>Bristol: IOP Publishing</publisher><subject>Energy distribution ; isostatic lattice ; Lattices ; Mechanical analysis ; mechanical response ; Metamaterials ; Physics ; Strain ; Topology</subject><ispartof>New journal of physics, 2017-06, Vol.19 (6), p.65004</ispartof><rights>2017 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft</rights><rights>2017. This work is published under http://creativecommons.org/licenses/by/3.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c514t-5eba7a97d8247bc28a2030653953548028302deee9ad75f80e96228c1dd6863c3</citedby><cites>FETCH-LOGICAL-c514t-5eba7a97d8247bc28a2030653953548028302deee9ad75f80e96228c1dd6863c3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.proquest.com/docview/2312605666?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,25753,27924,27925,37012,44590</link.rule.ids></links><search><creatorcontrib>Rocklin, D Zeb</creatorcontrib><title>Directional mechanical response in the bulk of topological metamaterials</title><title>New journal of physics</title><addtitle>NJP</addtitle><addtitle>New J. Phys</addtitle><description>Mechanical metamaterials are those structures designed to convey force and motion in novel and desirable ways. Recently, Kane and Lubensky showed that lattices at the point of marginal mechanical stability (Maxwell lattices) possess a topological invariant that describes the distribution of floppy, zero-energy edge modes. Here, we show that applying force at a point in the bulk of these lattices generates a directional mechanical response, in which stress or strain is induced only on one side of the force. This provides both a bulk metric for mechanical polarization and a design principle to convey stresses and strains towards or away from parts of the structure. We also characterize the effects of removing bonds on the material's structure and floppy modes, establishing a relationship between edge modes and bulk response.</description><subject>Energy distribution</subject><subject>isostatic lattice</subject><subject>Lattices</subject><subject>Mechanical analysis</subject><subject>mechanical response</subject><subject>Metamaterials</subject><subject>Physics</subject><subject>Strain</subject><subject>Topology</subject><issn>1367-2630</issn><issn>1367-2630</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><sourceid>DOA</sourceid><recordid>eNp9kD1PwzAQhi0EEqWwM0ZiYCH0bMeOM6LyVakSC8yWYzutQxoHOx3496QNKgyI6U6n531PehC6xHCLQYgZpjxPCacwUyrHjB2hyeF0_Gs_RWcx1gAYC0Im6PneBat751vVJBur16p1eliDjZ1vo01cm_Rrm5Tb5j3xVdL7zjd-tWc2tlcb1dvgVBPP0Uk1DHvxPafo7fHhdf6cLl-eFvO7ZaoZzvqU2VLlqsiNIFleaiIUAQqc0YJRlgkgggIx1tpCmZxVAmzBCREaG8MFp5pO0WLsNV7Vsgtuo8Kn9MrJ_cGHlVShd7qxklSmKDkz2uQm40wLyBiorDIEDy-rfOi6Gru64D-2Nvay9tswmIiSUEw4MM75QMFI6eBjDLY6fMUgd-7lTq7cyZWj-yFyM0ac7346_8Gv_8DbupO4kFwOegAy2ZmKfgEC3JB2</recordid><startdate>20170629</startdate><enddate>20170629</enddate><creator>Rocklin, D Zeb</creator><general>IOP Publishing</general><scope>O3W</scope><scope>TSCCA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>H8D</scope><scope>L7M</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>DOA</scope></search><sort><creationdate>20170629</creationdate><title>Directional mechanical response in the bulk of topological metamaterials</title><author>Rocklin, D Zeb</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c514t-5eba7a97d8247bc28a2030653953548028302deee9ad75f80e96228c1dd6863c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Energy distribution</topic><topic>isostatic lattice</topic><topic>Lattices</topic><topic>Mechanical analysis</topic><topic>mechanical response</topic><topic>Metamaterials</topic><topic>Physics</topic><topic>Strain</topic><topic>Topology</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Rocklin, D Zeb</creatorcontrib><collection>Open Access: IOP Publishing Free Content</collection><collection>IOPscience (Open Access)</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Publicly Available Content Database (Proquest) (PQ_SDU_P3)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Directory of Open Access Journals (Open Access)</collection><jtitle>New journal of physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Rocklin, D Zeb</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Directional mechanical response in the bulk of topological metamaterials</atitle><jtitle>New journal of physics</jtitle><stitle>NJP</stitle><addtitle>New J. Phys</addtitle><date>2017-06-29</date><risdate>2017</risdate><volume>19</volume><issue>6</issue><spage>65004</spage><pages>65004-</pages><issn>1367-2630</issn><eissn>1367-2630</eissn><coden>NJOPFM</coden><abstract>Mechanical metamaterials are those structures designed to convey force and motion in novel and desirable ways. Recently, Kane and Lubensky showed that lattices at the point of marginal mechanical stability (Maxwell lattices) possess a topological invariant that describes the distribution of floppy, zero-energy edge modes. Here, we show that applying force at a point in the bulk of these lattices generates a directional mechanical response, in which stress or strain is induced only on one side of the force. This provides both a bulk metric for mechanical polarization and a design principle to convey stresses and strains towards or away from parts of the structure. We also characterize the effects of removing bonds on the material's structure and floppy modes, establishing a relationship between edge modes and bulk response.</abstract><cop>Bristol</cop><pub>IOP Publishing</pub><doi>10.1088/1367-2630/aa7155</doi><tpages>15</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1367-2630
ispartof New journal of physics, 2017-06, Vol.19 (6), p.65004
issn 1367-2630
1367-2630
language eng
recordid cdi_doaj_primary_oai_doaj_org_article_2fd9b65dcd7d465c80450a4fd21306f7
source Publicly Available Content Database (Proquest) (PQ_SDU_P3)
subjects Energy distribution
isostatic lattice
Lattices
Mechanical analysis
mechanical response
Metamaterials
Physics
Strain
Topology
title Directional mechanical response in the bulk of topological metamaterials
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-27T19%3A25%3A38IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_doaj_&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Directional%20mechanical%20response%20in%20the%20bulk%20of%20topological%20metamaterials&rft.jtitle=New%20journal%20of%20physics&rft.au=Rocklin,%20D%20Zeb&rft.date=2017-06-29&rft.volume=19&rft.issue=6&rft.spage=65004&rft.pages=65004-&rft.issn=1367-2630&rft.eissn=1367-2630&rft.coden=NJOPFM&rft_id=info:doi/10.1088/1367-2630/aa7155&rft_dat=%3Cproquest_doaj_%3E2312605666%3C/proquest_doaj_%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c514t-5eba7a97d8247bc28a2030653953548028302deee9ad75f80e96228c1dd6863c3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2312605666&rft_id=info:pmid/&rfr_iscdi=true