Overcurvature induced multistability of linked conical frusta: how a 'bendy straw' holds its shape

We study the origins of multiple mechanically stable states exhibited by an elastic shell comprising multiple conical frusta, a geometry common to reconfigurable corrugated structures such as 'bendy straws'. This multistability is characterized by mechanical stability of axially extended a...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Soft matter 2018-10, Vol.14 (42), p.8636-8642
Hauptverfasser: Bende, Nakul P, Yu, Tian, Corbin, Nicholas A, Dias, Marcelo A, Santangelo, Christian D, Hanna, James A, Hayward, Ryan C
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 8642
container_issue 42
container_start_page 8636
container_title Soft matter
container_volume 14
creator Bende, Nakul P
Yu, Tian
Corbin, Nicholas A
Dias, Marcelo A
Santangelo, Christian D
Hanna, James A
Hayward, Ryan C
description We study the origins of multiple mechanically stable states exhibited by an elastic shell comprising multiple conical frusta, a geometry common to reconfigurable corrugated structures such as 'bendy straws'. This multistability is characterized by mechanical stability of axially extended and collapsed states, as well as a partially inverted 'bent' state that exhibits stability in any azimuthal direction. To understand the origin of this behavior, we study how geometry and internal stress affect the stability of linked conical frusta. We find that tuning geometrical parameters such as the frustum heights and cone angles can provide axial bistability, whereas stability in the bent state requires a sufficient amount of internal pre-stress, resulting from a mismatch between the natural and geometric curvatures of the shell. We provide insight into the latter effect through curvature analysis during deformation using X-ray computed tomography (CT), and with a simple mechanical model that captures the qualitative behavior of these highly reconfigurable systems.
doi_str_mv 10.1039/c8sm01355a
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_2122578669</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2122578669</sourcerecordid><originalsourceid>FETCH-LOGICAL-c351t-a09626c74919f34517928cfab6ffb24465c75f55776f74e36b3a26e25dd6fce93</originalsourceid><addsrcrecordid>eNpdkMtKAzEUhoMoVqsbH0ACLipCNZncZtyV4g0qXajgbshkEpo6l5pLS9_eqa1duDqH83_8HD4ALjC6xYhkdyr1NcKEMXkATrCgdMhTmh7ud_LZA6fezxEiKcX8GPQIIoQiyk5AMV1qp6JbyhCdhrYpo9IlrGMVrA-ysJUNa9gaWNnmqwtU21glK2hc7OJ7OGtXUMJBoZtyDX1wcjXoblXpoQ0e-plc6DNwZGTl9flu9sHH48P7-Hk4mT69jEeToSIMh6FEGU-4EjTDmSGUYZElqTKy4MYUCaWcKcEMY0JwI6gmvCAy4TphZcmN0hnpg-tt78K131H7kNfWK11VstFt9HmCk4SJlPMNevUPnbfRNd13G0pQhgQjHXWzpZRrvXfa5Atna-nWOUb5xnw-Tt9ef82POvhyVxmLWpd79E81-QF79H30</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2127450753</pqid></control><display><type>article</type><title>Overcurvature induced multistability of linked conical frusta: how a 'bendy straw' holds its shape</title><source>Royal Society Of Chemistry Journals 2008-</source><source>Alma/SFX Local Collection</source><creator>Bende, Nakul P ; Yu, Tian ; Corbin, Nicholas A ; Dias, Marcelo A ; Santangelo, Christian D ; Hanna, James A ; Hayward, Ryan C</creator><creatorcontrib>Bende, Nakul P ; Yu, Tian ; Corbin, Nicholas A ; Dias, Marcelo A ; Santangelo, Christian D ; Hanna, James A ; Hayward, Ryan C</creatorcontrib><description>We study the origins of multiple mechanically stable states exhibited by an elastic shell comprising multiple conical frusta, a geometry common to reconfigurable corrugated structures such as 'bendy straws'. This multistability is characterized by mechanical stability of axially extended and collapsed states, as well as a partially inverted 'bent' state that exhibits stability in any azimuthal direction. To understand the origin of this behavior, we study how geometry and internal stress affect the stability of linked conical frusta. We find that tuning geometrical parameters such as the frustum heights and cone angles can provide axial bistability, whereas stability in the bent state requires a sufficient amount of internal pre-stress, resulting from a mismatch between the natural and geometric curvatures of the shell. We provide insight into the latter effect through curvature analysis during deformation using X-ray computed tomography (CT), and with a simple mechanical model that captures the qualitative behavior of these highly reconfigurable systems.</description><identifier>ISSN: 1744-683X</identifier><identifier>EISSN: 1744-6848</identifier><identifier>DOI: 10.1039/c8sm01355a</identifier><identifier>PMID: 30334045</identifier><language>eng</language><publisher>England: Royal Society of Chemistry</publisher><subject>Angles (geometry) ; Bistability ; Computed tomography ; Conical shells ; Curvature ; Deformation ; Deformation analysis ; Deformation effects ; Elastic shells ; Reconfigurable control systems ; Residual stress ; Stability ; Straw</subject><ispartof>Soft matter, 2018-10, Vol.14 (42), p.8636-8642</ispartof><rights>Copyright Royal Society of Chemistry 2018</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c351t-a09626c74919f34517928cfab6ffb24465c75f55776f74e36b3a26e25dd6fce93</citedby><cites>FETCH-LOGICAL-c351t-a09626c74919f34517928cfab6ffb24465c75f55776f74e36b3a26e25dd6fce93</cites><orcidid>0000-0003-0555-6449 ; 0000-0001-6483-2234 ; 0000-0001-6368-1702 ; 0000-0002-1668-0501</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>315,781,785,27929,27930</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/30334045$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Bende, Nakul P</creatorcontrib><creatorcontrib>Yu, Tian</creatorcontrib><creatorcontrib>Corbin, Nicholas A</creatorcontrib><creatorcontrib>Dias, Marcelo A</creatorcontrib><creatorcontrib>Santangelo, Christian D</creatorcontrib><creatorcontrib>Hanna, James A</creatorcontrib><creatorcontrib>Hayward, Ryan C</creatorcontrib><title>Overcurvature induced multistability of linked conical frusta: how a 'bendy straw' holds its shape</title><title>Soft matter</title><addtitle>Soft Matter</addtitle><description>We study the origins of multiple mechanically stable states exhibited by an elastic shell comprising multiple conical frusta, a geometry common to reconfigurable corrugated structures such as 'bendy straws'. This multistability is characterized by mechanical stability of axially extended and collapsed states, as well as a partially inverted 'bent' state that exhibits stability in any azimuthal direction. To understand the origin of this behavior, we study how geometry and internal stress affect the stability of linked conical frusta. We find that tuning geometrical parameters such as the frustum heights and cone angles can provide axial bistability, whereas stability in the bent state requires a sufficient amount of internal pre-stress, resulting from a mismatch between the natural and geometric curvatures of the shell. We provide insight into the latter effect through curvature analysis during deformation using X-ray computed tomography (CT), and with a simple mechanical model that captures the qualitative behavior of these highly reconfigurable systems.</description><subject>Angles (geometry)</subject><subject>Bistability</subject><subject>Computed tomography</subject><subject>Conical shells</subject><subject>Curvature</subject><subject>Deformation</subject><subject>Deformation analysis</subject><subject>Deformation effects</subject><subject>Elastic shells</subject><subject>Reconfigurable control systems</subject><subject>Residual stress</subject><subject>Stability</subject><subject>Straw</subject><issn>1744-683X</issn><issn>1744-6848</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNpdkMtKAzEUhoMoVqsbH0ACLipCNZncZtyV4g0qXajgbshkEpo6l5pLS9_eqa1duDqH83_8HD4ALjC6xYhkdyr1NcKEMXkATrCgdMhTmh7ud_LZA6fezxEiKcX8GPQIIoQiyk5AMV1qp6JbyhCdhrYpo9IlrGMVrA-ysJUNa9gaWNnmqwtU21glK2hc7OJ7OGtXUMJBoZtyDX1wcjXoblXpoQ0e-plc6DNwZGTl9flu9sHH48P7-Hk4mT69jEeToSIMh6FEGU-4EjTDmSGUYZElqTKy4MYUCaWcKcEMY0JwI6gmvCAy4TphZcmN0hnpg-tt78K131H7kNfWK11VstFt9HmCk4SJlPMNevUPnbfRNd13G0pQhgQjHXWzpZRrvXfa5Atna-nWOUb5xnw-Tt9ef82POvhyVxmLWpd79E81-QF79H30</recordid><startdate>20181031</startdate><enddate>20181031</enddate><creator>Bende, Nakul P</creator><creator>Yu, Tian</creator><creator>Corbin, Nicholas A</creator><creator>Dias, Marcelo A</creator><creator>Santangelo, Christian D</creator><creator>Hanna, James A</creator><creator>Hayward, Ryan C</creator><general>Royal Society of Chemistry</general><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7QF</scope><scope>7QO</scope><scope>7QQ</scope><scope>7SC</scope><scope>7SE</scope><scope>7SP</scope><scope>7SR</scope><scope>7TA</scope><scope>7TB</scope><scope>7U5</scope><scope>8BQ</scope><scope>8FD</scope><scope>F28</scope><scope>FR3</scope><scope>H8D</scope><scope>H8G</scope><scope>JG9</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>P64</scope><scope>7X8</scope><orcidid>https://orcid.org/0000-0003-0555-6449</orcidid><orcidid>https://orcid.org/0000-0001-6483-2234</orcidid><orcidid>https://orcid.org/0000-0001-6368-1702</orcidid><orcidid>https://orcid.org/0000-0002-1668-0501</orcidid></search><sort><creationdate>20181031</creationdate><title>Overcurvature induced multistability of linked conical frusta: how a 'bendy straw' holds its shape</title><author>Bende, Nakul P ; Yu, Tian ; Corbin, Nicholas A ; Dias, Marcelo A ; Santangelo, Christian D ; Hanna, James A ; Hayward, Ryan C</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c351t-a09626c74919f34517928cfab6ffb24465c75f55776f74e36b3a26e25dd6fce93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Angles (geometry)</topic><topic>Bistability</topic><topic>Computed tomography</topic><topic>Conical shells</topic><topic>Curvature</topic><topic>Deformation</topic><topic>Deformation analysis</topic><topic>Deformation effects</topic><topic>Elastic shells</topic><topic>Reconfigurable control systems</topic><topic>Residual stress</topic><topic>Stability</topic><topic>Straw</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bende, Nakul P</creatorcontrib><creatorcontrib>Yu, Tian</creatorcontrib><creatorcontrib>Corbin, Nicholas A</creatorcontrib><creatorcontrib>Dias, Marcelo A</creatorcontrib><creatorcontrib>Santangelo, Christian D</creatorcontrib><creatorcontrib>Hanna, James A</creatorcontrib><creatorcontrib>Hayward, Ryan C</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>Aluminium Industry Abstracts</collection><collection>Biotechnology Research Abstracts</collection><collection>Ceramic Abstracts</collection><collection>Computer and Information Systems Abstracts</collection><collection>Corrosion Abstracts</collection><collection>Electronics &amp; Communications Abstracts</collection><collection>Engineered Materials Abstracts</collection><collection>Materials Business File</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>ANTE: Abstracts in New Technology &amp; Engineering</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>Copper Technical Reference Library</collection><collection>Materials Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts – Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Biotechnology and BioEngineering Abstracts</collection><collection>MEDLINE - Academic</collection><jtitle>Soft matter</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bende, Nakul P</au><au>Yu, Tian</au><au>Corbin, Nicholas A</au><au>Dias, Marcelo A</au><au>Santangelo, Christian D</au><au>Hanna, James A</au><au>Hayward, Ryan C</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Overcurvature induced multistability of linked conical frusta: how a 'bendy straw' holds its shape</atitle><jtitle>Soft matter</jtitle><addtitle>Soft Matter</addtitle><date>2018-10-31</date><risdate>2018</risdate><volume>14</volume><issue>42</issue><spage>8636</spage><epage>8642</epage><pages>8636-8642</pages><issn>1744-683X</issn><eissn>1744-6848</eissn><abstract>We study the origins of multiple mechanically stable states exhibited by an elastic shell comprising multiple conical frusta, a geometry common to reconfigurable corrugated structures such as 'bendy straws'. This multistability is characterized by mechanical stability of axially extended and collapsed states, as well as a partially inverted 'bent' state that exhibits stability in any azimuthal direction. To understand the origin of this behavior, we study how geometry and internal stress affect the stability of linked conical frusta. We find that tuning geometrical parameters such as the frustum heights and cone angles can provide axial bistability, whereas stability in the bent state requires a sufficient amount of internal pre-stress, resulting from a mismatch between the natural and geometric curvatures of the shell. We provide insight into the latter effect through curvature analysis during deformation using X-ray computed tomography (CT), and with a simple mechanical model that captures the qualitative behavior of these highly reconfigurable systems.</abstract><cop>England</cop><pub>Royal Society of Chemistry</pub><pmid>30334045</pmid><doi>10.1039/c8sm01355a</doi><tpages>7</tpages><orcidid>https://orcid.org/0000-0003-0555-6449</orcidid><orcidid>https://orcid.org/0000-0001-6483-2234</orcidid><orcidid>https://orcid.org/0000-0001-6368-1702</orcidid><orcidid>https://orcid.org/0000-0002-1668-0501</orcidid><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1744-683X
ispartof Soft matter, 2018-10, Vol.14 (42), p.8636-8642
issn 1744-683X
1744-6848
language eng
recordid cdi_proquest_miscellaneous_2122578669
source Royal Society Of Chemistry Journals 2008-; Alma/SFX Local Collection
subjects Angles (geometry)
Bistability
Computed tomography
Conical shells
Curvature
Deformation
Deformation analysis
Deformation effects
Elastic shells
Reconfigurable control systems
Residual stress
Stability
Straw
title Overcurvature induced multistability of linked conical frusta: how a 'bendy straw' holds its shape
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-15T08%3A01%3A44IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Overcurvature%20induced%20multistability%20of%20linked%20conical%20frusta:%20how%20a%20'bendy%20straw'%20holds%20its%20shape&rft.jtitle=Soft%20matter&rft.au=Bende,%20Nakul%20P&rft.date=2018-10-31&rft.volume=14&rft.issue=42&rft.spage=8636&rft.epage=8642&rft.pages=8636-8642&rft.issn=1744-683X&rft.eissn=1744-6848&rft_id=info:doi/10.1039/c8sm01355a&rft_dat=%3Cproquest_cross%3E2122578669%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2127450753&rft_id=info:pmid/30334045&rfr_iscdi=true