Torsion and bistability of double-twist elastomers

We investigate the elastic properties of anisotropic elastomers with a double-twist director field, which is a model for collagen fibrils or blue phases. We observe a significant Poynting-like effect, coupling torsion (fibril twist) and extension. For freely-rotating boundary conditions, we identify...

Full description

Saved in:
Bibliographic Details
Published in:Soft matter 2023-08, Vol.19 (33), p.6376-6386
Main Authors: Leighton, Matthew P, Kreplak, Laurent, Rutenberg, Andrew D
Format: Article
Language:English
Subjects:
Bifurcations
Boundary conditions
Collagen
Elastic anisotropy
Elastic properties
Elastomers
Fibrils
Parameterization
Rotation
Shape effects
Torsion
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites cdi_FETCH-LOGICAL-c296t-bcbbd048abc28072ea714aa344ddfccf8722a2230e7645d74dcac25c9a3a92e33
container_end_page 6386
container_issue 33
container_start_page 6376
container_title Soft matter
container_volume 19
creator Leighton, Matthew P
Kreplak, Laurent
Rutenberg, Andrew D
description We investigate the elastic properties of anisotropic elastomers with a double-twist director field, which is a model for collagen fibrils or blue phases. We observe a significant Poynting-like effect, coupling torsion (fibril twist) and extension. For freely-rotating boundary conditions, we identify a structural bistability at very small extensional strains which undergoes a saddle-node bifurcation at a critical strain - at approximately 1% strain for a parameterization appropriate for collagen fibrils. With clamped boundary conditions appropriate for many experimental setups, the bifurcation is not present. We expect significant helical shape effects when fixed torsion does not equal the equilibrium torsion of freely-rotating boundary conditions, due to residual torques. We study the mechanical properties of double-twist elastomers, a model for collagen fibrils. We find that fibril extension is coupled to torsion, leading to a structural bistability and bifurcation.
doi_str_mv 10.1039/d3sm00554b
format article
fullrecord <record><control><sourceid>proquest_rsc_p</sourceid><recordid>TN_cdi_proquest_journals_2854905407</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2850717046</sourcerecordid><originalsourceid>FETCH-LOGICAL-c296t-bcbbd048abc28072ea714aa344ddfccf8722a2230e7645d74dcac25c9a3a92e33</originalsourceid><addsrcrecordid>eNpd0c1LwzAYBvAgitPpxbtS8CJCNZ9Nc9T5CRMPTvBW8lXoaJuZt0X239u5OcFTXvL-eAhPEDoh-Ipgpq4dgwZjIbjZQQdEcp5mOc93tzP7GKFDgDnGLOck20cjJoWUKlMHiM5ChCq0iW5dYirotKnqqlsmoUxc6E3t0-5ruE58raELjY9whPZKXYM_3pxj9P5wP5s8pdPXx-fJzTS1VGVdaqwxDvNcG0tzLKnXknCtGefOldaWuaRUU8qwlxkXTnJntaXCKs20op6xMbpY5y5i-Ow9dEVTgfV1rVsfeihoLrAkEvNsoOf_6Dz0sR1et1JcYcGxHNTlWtkYAKIvi0WsGh2XBcHFqsnijr29_DR5O-CzTWRvGu-29Le6AZyuQQS73f59BfsGAoF3kQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2854905407</pqid></control><display><type>article</type><title>Torsion and bistability of double-twist elastomers</title><source>Royal Society of Chemistry Journals</source><creator>Leighton, Matthew P ; Kreplak, Laurent ; Rutenberg, Andrew D</creator><creatorcontrib>Leighton, Matthew P ; Kreplak, Laurent ; Rutenberg, Andrew D</creatorcontrib><description>We investigate the elastic properties of anisotropic elastomers with a double-twist director field, which is a model for collagen fibrils or blue phases. We observe a significant Poynting-like effect, coupling torsion (fibril twist) and extension. For freely-rotating boundary conditions, we identify a structural bistability at very small extensional strains which undergoes a saddle-node bifurcation at a critical strain - at approximately 1% strain for a parameterization appropriate for collagen fibrils. With clamped boundary conditions appropriate for many experimental setups, the bifurcation is not present. We expect significant helical shape effects when fixed torsion does not equal the equilibrium torsion of freely-rotating boundary conditions, due to residual torques. We study the mechanical properties of double-twist elastomers, a model for collagen fibrils. We find that fibril extension is coupled to torsion, leading to a structural bistability and bifurcation.</description><identifier>ISSN: 1744-683X</identifier><identifier>EISSN: 1744-6848</identifier><identifier>DOI: 10.1039/d3sm00554b</identifier><identifier>PMID: 37577969</identifier><language>eng</language><publisher>England: Royal Society of Chemistry</publisher><subject>Bifurcations ; Boundary conditions ; Collagen ; Elastic anisotropy ; Elastic properties ; Elastomers ; Fibrils ; Parameterization ; Rotation ; Shape effects ; Torsion</subject><ispartof>Soft matter, 2023-08, Vol.19 (33), p.6376-6386</ispartof><rights>Copyright Royal Society of Chemistry 2023</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c296t-bcbbd048abc28072ea714aa344ddfccf8722a2230e7645d74dcac25c9a3a92e33</cites><orcidid>0000-0002-4765-9967 ; 0000-0001-9370-9809 ; 0000-0002-4264-6809</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,777,781,27905,27906</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/37577969$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Leighton, Matthew P</creatorcontrib><creatorcontrib>Kreplak, Laurent</creatorcontrib><creatorcontrib>Rutenberg, Andrew D</creatorcontrib><title>Torsion and bistability of double-twist elastomers</title><title>Soft matter</title><addtitle>Soft Matter</addtitle><description>We investigate the elastic properties of anisotropic elastomers with a double-twist director field, which is a model for collagen fibrils or blue phases. We observe a significant Poynting-like effect, coupling torsion (fibril twist) and extension. For freely-rotating boundary conditions, we identify a structural bistability at very small extensional strains which undergoes a saddle-node bifurcation at a critical strain - at approximately 1% strain for a parameterization appropriate for collagen fibrils. With clamped boundary conditions appropriate for many experimental setups, the bifurcation is not present. We expect significant helical shape effects when fixed torsion does not equal the equilibrium torsion of freely-rotating boundary conditions, due to residual torques. We study the mechanical properties of double-twist elastomers, a model for collagen fibrils. We find that fibril extension is coupled to torsion, leading to a structural bistability and bifurcation.</description><subject>Bifurcations</subject><subject>Boundary conditions</subject><subject>Collagen</subject><subject>Elastic anisotropy</subject><subject>Elastic properties</subject><subject>Elastomers</subject><subject>Fibrils</subject><subject>Parameterization</subject><subject>Rotation</subject><subject>Shape effects</subject><subject>Torsion</subject><issn>1744-683X</issn><issn>1744-6848</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNpd0c1LwzAYBvAgitPpxbtS8CJCNZ9Nc9T5CRMPTvBW8lXoaJuZt0X239u5OcFTXvL-eAhPEDoh-Ipgpq4dgwZjIbjZQQdEcp5mOc93tzP7GKFDgDnGLOck20cjJoWUKlMHiM5ChCq0iW5dYirotKnqqlsmoUxc6E3t0-5ruE58raELjY9whPZKXYM_3pxj9P5wP5s8pdPXx-fJzTS1VGVdaqwxDvNcG0tzLKnXknCtGefOldaWuaRUU8qwlxkXTnJntaXCKs20op6xMbpY5y5i-Ow9dEVTgfV1rVsfeihoLrAkEvNsoOf_6Dz0sR1et1JcYcGxHNTlWtkYAKIvi0WsGh2XBcHFqsnijr29_DR5O-CzTWRvGu-29Le6AZyuQQS73f59BfsGAoF3kQ</recordid><startdate>20230823</startdate><enddate>20230823</enddate><creator>Leighton, Matthew P</creator><creator>Kreplak, Laurent</creator><creator>Rutenberg, Andrew D</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/0000-0002-4765-9967</orcidid><orcidid>https://orcid.org/0000-0001-9370-9809</orcidid><orcidid>https://orcid.org/0000-0002-4264-6809</orcidid></search><sort><creationdate>20230823</creationdate><title>Torsion and bistability of double-twist elastomers</title><author>Leighton, Matthew P ; Kreplak, Laurent ; Rutenberg, Andrew D</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c296t-bcbbd048abc28072ea714aa344ddfccf8722a2230e7645d74dcac25c9a3a92e33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Bifurcations</topic><topic>Boundary conditions</topic><topic>Collagen</topic><topic>Elastic anisotropy</topic><topic>Elastic properties</topic><topic>Elastomers</topic><topic>Fibrils</topic><topic>Parameterization</topic><topic>Rotation</topic><topic>Shape effects</topic><topic>Torsion</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Leighton, Matthew P</creatorcontrib><creatorcontrib>Kreplak, Laurent</creatorcontrib><creatorcontrib>Rutenberg, Andrew D</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>Leighton, Matthew P</au><au>Kreplak, Laurent</au><au>Rutenberg, Andrew D</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Torsion and bistability of double-twist elastomers</atitle><jtitle>Soft matter</jtitle><addtitle>Soft Matter</addtitle><date>2023-08-23</date><risdate>2023</risdate><volume>19</volume><issue>33</issue><spage>6376</spage><epage>6386</epage><pages>6376-6386</pages><issn>1744-683X</issn><eissn>1744-6848</eissn><abstract>We investigate the elastic properties of anisotropic elastomers with a double-twist director field, which is a model for collagen fibrils or blue phases. We observe a significant Poynting-like effect, coupling torsion (fibril twist) and extension. For freely-rotating boundary conditions, we identify a structural bistability at very small extensional strains which undergoes a saddle-node bifurcation at a critical strain - at approximately 1% strain for a parameterization appropriate for collagen fibrils. With clamped boundary conditions appropriate for many experimental setups, the bifurcation is not present. We expect significant helical shape effects when fixed torsion does not equal the equilibrium torsion of freely-rotating boundary conditions, due to residual torques. We study the mechanical properties of double-twist elastomers, a model for collagen fibrils. We find that fibril extension is coupled to torsion, leading to a structural bistability and bifurcation.</abstract><cop>England</cop><pub>Royal Society of Chemistry</pub><pmid>37577969</pmid><doi>10.1039/d3sm00554b</doi><tpages>11</tpages><orcidid>https://orcid.org/0000-0002-4765-9967</orcidid><orcidid>https://orcid.org/0000-0001-9370-9809</orcidid><orcidid>https://orcid.org/0000-0002-4264-6809</orcidid></addata></record>
fulltext fulltext
identifier ISSN: 1744-683X
ispartof Soft matter, 2023-08, Vol.19 (33), p.6376-6386
issn 1744-683X
1744-6848
language eng
recordid cdi_proquest_journals_2854905407
source Royal Society of Chemistry Journals
subjects Bifurcations
Boundary conditions
Collagen
Elastic anisotropy
Elastic properties
Elastomers
Fibrils
Parameterization
Rotation
Shape effects
Torsion
title Torsion and bistability of double-twist elastomers
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-19T23%3A12%3A39IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_rsc_p&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Torsion%20and%20bistability%20of%20double-twist%20elastomers&rft.jtitle=Soft%20matter&rft.au=Leighton,%20Matthew%20P&rft.date=2023-08-23&rft.volume=19&rft.issue=33&rft.spage=6376&rft.epage=6386&rft.pages=6376-6386&rft.issn=1744-683X&rft.eissn=1744-6848&rft_id=info:doi/10.1039/d3sm00554b&rft_dat=%3Cproquest_rsc_p%3E2850717046%3C/proquest_rsc_p%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c296t-bcbbd048abc28072ea714aa344ddfccf8722a2230e7645d74dcac25c9a3a92e33%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2854905407&rft_id=info:pmid/37577969&rfr_iscdi=true