Instability of a magnetoelastic layer resting on a non-magnetic substrate
Identifieur interne : 000100 ( Hal/Checkpoint ); précédent : 000099; suivant : 000101Instability of a magnetoelastic layer resting on a non-magnetic substrate
Auteurs : Kostas Danas [France] ; Nicolas Triantafyllidis [France]Source :
- Journal of the Mechanics and Physics of Solids [ 0022-5096 ] ; 2014.
English descriptors
Abstract
Magnetorheological elastomers (MREs) are ferromagnetic particle impregnated rubbers whose mechanical properties are altered by the application of external magnetic fields. Due to their coupled magneto-mechanical response, MREs are finding an increasing number of engineering applications. One such application is in haptics, where the goal is to actively control surface roughness. One way to achieve this is by exploiting the unstable regime of MRE substrate/layer assemblies subjected to transverse magnetic fields. In this work, we study the response of such an assembly subjected to a transverse magnetic field and in-plane stress. The layer is made up of a transversely isotropic MRE material, whose energy density has been obtained experimentally, while the substrate is a non-magnetic isotropic pure polymer/gel. An analytical solution to this problem based on a general, finite strain, 2D continuum modeling for both the MRE layer and the substrate, shows that for adequately soft substrates there is a finite-wavelength buckling mode under a transverse magnetic field. Moreover, the critical magnetic field can be substantially reduced in the presence of a compressive stress of the assembly, thus opening the possibility for haptic applications operating under low magnetic fields.
Url:
Links toward previous steps (curation, corpus...)
Links to Exploration step
Hal:hal-00995717Le document en format XML
<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">Instability of a magnetoelastic layer resting on a non-magnetic substrate</title>
<author><name sortKey="Danas, Kostas" sort="Danas, Kostas" uniqKey="Danas K" first="Kostas" last="Danas">Kostas Danas</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-1167" status="VALID"><orgName>Laboratoire de mécanique des solides</orgName>
<orgName type="acronym">LMS</orgName>
<desc><address><addrLine>Route de Saclay 91128 PALAISEAU CEDEX</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.lms.polytechnique.fr</ref>
</desc>
<listRelation><relation active="#struct-301492" type="direct"></relation>
<relation active="#struct-300340" type="direct"></relation>
<relation name="UMR7649" active="#struct-441569" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-301492" type="direct"><org type="institution" xml:id="struct-301492" status="VALID"><orgName>MINES ParisTech - École nationale supérieure des mines de Paris</orgName>
<desc><address><addrLine>60, boulevard Saint-Michel 75006 Paris</addrLine>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300340" type="direct"><org type="institution" xml:id="struct-300340" status="VALID"><orgName>Polytechnique - X</orgName>
<desc><address><country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle name="UMR7649" active="#struct-441569" type="direct"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno>
<idno type="IdRef">02636817X</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
</affiliation>
</author>
<author><name sortKey="Triantafyllidis, Nicolas" sort="Triantafyllidis, Nicolas" uniqKey="Triantafyllidis N" first="Nicolas" last="Triantafyllidis">Nicolas Triantafyllidis</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-1167" status="VALID"><orgName>Laboratoire de mécanique des solides</orgName>
<orgName type="acronym">LMS</orgName>
<desc><address><addrLine>Route de Saclay 91128 PALAISEAU CEDEX</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.lms.polytechnique.fr</ref>
</desc>
<listRelation><relation active="#struct-301492" type="direct"></relation>
<relation active="#struct-300340" type="direct"></relation>
<relation name="UMR7649" active="#struct-441569" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-301492" type="direct"><org type="institution" xml:id="struct-301492" status="VALID"><orgName>MINES ParisTech - École nationale supérieure des mines de Paris</orgName>
<desc><address><addrLine>60, boulevard Saint-Michel 75006 Paris</addrLine>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300340" type="direct"><org type="institution" xml:id="struct-300340" status="VALID"><orgName>Polytechnique - X</orgName>
<desc><address><country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle name="UMR7649" active="#struct-441569" type="direct"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno>
<idno type="IdRef">02636817X</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
</affiliation>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">HAL</idno>
<idno type="RBID">Hal:hal-00995717</idno>
<idno type="halId">hal-00995717</idno>
<idno type="halUri">https://hal-polytechnique.archives-ouvertes.fr/hal-00995717</idno>
<idno type="url">https://hal-polytechnique.archives-ouvertes.fr/hal-00995717</idno>
<date when="2014">2014</date>
<idno type="wicri:Area/Hal/Corpus">000337</idno>
<idno type="wicri:Area/Hal/Curation">000337</idno>
<idno type="wicri:Area/Hal/Checkpoint">000100</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title xml:lang="en">Instability of a magnetoelastic layer resting on a non-magnetic substrate</title>
<author><name sortKey="Danas, Kostas" sort="Danas, Kostas" uniqKey="Danas K" first="Kostas" last="Danas">Kostas Danas</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-1167" status="VALID"><orgName>Laboratoire de mécanique des solides</orgName>
<orgName type="acronym">LMS</orgName>
<desc><address><addrLine>Route de Saclay 91128 PALAISEAU CEDEX</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.lms.polytechnique.fr</ref>
</desc>
<listRelation><relation active="#struct-301492" type="direct"></relation>
<relation active="#struct-300340" type="direct"></relation>
<relation name="UMR7649" active="#struct-441569" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-301492" type="direct"><org type="institution" xml:id="struct-301492" status="VALID"><orgName>MINES ParisTech - École nationale supérieure des mines de Paris</orgName>
<desc><address><addrLine>60, boulevard Saint-Michel 75006 Paris</addrLine>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300340" type="direct"><org type="institution" xml:id="struct-300340" status="VALID"><orgName>Polytechnique - X</orgName>
<desc><address><country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle name="UMR7649" active="#struct-441569" type="direct"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno>
<idno type="IdRef">02636817X</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
</affiliation>
</author>
<author><name sortKey="Triantafyllidis, Nicolas" sort="Triantafyllidis, Nicolas" uniqKey="Triantafyllidis N" first="Nicolas" last="Triantafyllidis">Nicolas Triantafyllidis</name>
<affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-1167" status="VALID"><orgName>Laboratoire de mécanique des solides</orgName>
<orgName type="acronym">LMS</orgName>
<desc><address><addrLine>Route de Saclay 91128 PALAISEAU CEDEX</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.lms.polytechnique.fr</ref>
</desc>
<listRelation><relation active="#struct-301492" type="direct"></relation>
<relation active="#struct-300340" type="direct"></relation>
<relation name="UMR7649" active="#struct-441569" type="direct"></relation>
</listRelation>
<tutelles><tutelle active="#struct-301492" type="direct"><org type="institution" xml:id="struct-301492" status="VALID"><orgName>MINES ParisTech - École nationale supérieure des mines de Paris</orgName>
<desc><address><addrLine>60, boulevard Saint-Michel 75006 Paris</addrLine>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle active="#struct-300340" type="direct"><org type="institution" xml:id="struct-300340" status="VALID"><orgName>Polytechnique - X</orgName>
<desc><address><country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
<tutelle name="UMR7649" active="#struct-441569" type="direct"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno>
<idno type="IdRef">02636817X</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
</affiliation>
</author>
</analytic>
<series><title level="j">Journal of the Mechanics and Physics of Solids</title>
<idno type="ISSN">0022-5096</idno>
<imprint><date type="datePub">2014</date>
</imprint>
</series>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc><textClass><keywords scheme="mix" xml:lang="en"><term>Finite strain</term>
<term>Instabilities</term>
<term>Magnetorheological elastomers</term>
<term>Substrate</term>
<term>Thin films</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">Magnetorheological elastomers (MREs) are ferromagnetic particle impregnated rubbers whose mechanical properties are altered by the application of external magnetic fields. Due to their coupled magneto-mechanical response, MREs are finding an increasing number of engineering applications. One such application is in haptics, where the goal is to actively control surface roughness. One way to achieve this is by exploiting the unstable regime of MRE substrate/layer assemblies subjected to transverse magnetic fields. In this work, we study the response of such an assembly subjected to a transverse magnetic field and in-plane stress. The layer is made up of a transversely isotropic MRE material, whose energy density has been obtained experimentally, while the substrate is a non-magnetic isotropic pure polymer/gel. An analytical solution to this problem based on a general, finite strain, 2D continuum modeling for both the MRE layer and the substrate, shows that for adequately soft substrates there is a finite-wavelength buckling mode under a transverse magnetic field. Moreover, the critical magnetic field can be substantially reduced in the presence of a compressive stress of the assembly, thus opening the possibility for haptic applications operating under low magnetic fields.</div>
</front>
</TEI>
<hal api="V3"><titleStmt><title xml:lang="en">Instability of a magnetoelastic layer resting on a non-magnetic substrate</title>
<author role="aut"><persName><forename type="first">Kostas</forename>
<surname>Danas</surname>
</persName>
<email>kdanas@lms.polytechnique.fr</email>
<ptr type="url" target="http://www.lms.polytechnique.fr/users/kdanas/index.html"></ptr>
<idno type="idhal">kdanas</idno>
<idno type="halauthor">658925</idno>
<idno type="ResearcherId">http://www.researcherid.com/rid/H-4153-2013</idno>
<idno type="ORCID">http://orcid.org/0000-0002-1177-5149</idno>
<affiliation ref="#struct-1167"></affiliation>
</author>
<author role="aut"><persName><forename type="first">Nicolas</forename>
<surname>Triantafyllidis</surname>
</persName>
<email>nick@lms.polytechnique.fr</email>
<ptr type="url" target="http://hera.polytechnique.fr/users/nick/"></ptr>
<idno type="halauthor">898102</idno>
<affiliation ref="#struct-1167"></affiliation>
</author>
<editor role="depositor"><persName><forename>Kostas</forename>
<surname>Danas</surname>
</persName>
<email>kdanas@lms.polytechnique.fr</email>
</editor>
</titleStmt>
<editionStmt><edition n="v1" type="current"><date type="whenSubmitted">2014-05-23 16:40:53</date>
<date type="whenModified">2014-05-23 16:40:53</date>
<date type="whenReleased">2014-05-23 16:40:53</date>
<date type="whenProduced">2014</date>
</edition>
<respStmt><resp>contributor</resp>
<name key="151635"><persName><forename>Kostas</forename>
<surname>Danas</surname>
</persName>
<email>kdanas@lms.polytechnique.fr</email>
</name>
</respStmt>
</editionStmt>
<publicationStmt><distributor>CCSD</distributor>
<idno type="halId">hal-00995717</idno>
<idno type="halUri">https://hal-polytechnique.archives-ouvertes.fr/hal-00995717</idno>
<idno type="halBibtex">danas:hal-00995717</idno>
<idno type="halRefHtml">Journal of the Mechanics and Physics of Solids, Elsevier, 2014, 69, pp.67-83</idno>
<idno type="halRef">Journal of the Mechanics and Physics of Solids, Elsevier, 2014, 69, pp.67-83</idno>
</publicationStmt>
<seriesStmt><idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
<idno type="stamp" n="LMS">Laboratoire de mécanique des solides</idno>
<idno type="stamp" n="X" p="PARISTECH">Ecole Polytechnique</idno>
<idno type="stamp" n="X-LMS" p="X">Laboratoire de Mécanique des Solides (LMS)</idno>
<idno type="stamp" n="X-DEP">Polytechnique</idno>
<idno type="stamp" n="X-DEP-MECA" p="X-DEP">Département de mécanique</idno>
<idno type="stamp" n="ENSMP" p="PARISTECH">MINES ParisTech</idno>
<idno type="stamp" n="ENSMP_LMS" p="ENSMP">Mécanique des solides (LMS)
</idno>
<idno type="stamp" n="PARISTECH">ParisTech</idno>
</seriesStmt>
<notesStmt><note type="audience" n="2">International</note>
<note type="popular" n="0">No</note>
<note type="peer" n="1">Yes</note>
</notesStmt>
<sourceDesc><biblStruct><analytic><title xml:lang="en">Instability of a magnetoelastic layer resting on a non-magnetic substrate</title>
<author role="aut"><persName><forename type="first">Kostas</forename>
<surname>Danas</surname>
</persName>
<email>kdanas@lms.polytechnique.fr</email>
<ptr type="url" target="http://www.lms.polytechnique.fr/users/kdanas/index.html"></ptr>
<idno type="idHal">kdanas</idno>
<idno type="halAuthorId">658925</idno>
<idno type="ResearcherId">http://www.researcherid.com/rid/H-4153-2013</idno>
<idno type="ORCID">http://orcid.org/0000-0002-1177-5149</idno>
<affiliation ref="#struct-1167"></affiliation>
</author>
<author role="aut"><persName><forename type="first">Nicolas</forename>
<surname>Triantafyllidis</surname>
</persName>
<email>nick@lms.polytechnique.fr</email>
<ptr type="url" target="http://hera.polytechnique.fr/users/nick/"></ptr>
<idno type="halAuthorId">898102</idno>
<affiliation ref="#struct-1167"></affiliation>
</author>
</analytic>
<monogr><idno type="halJournalId" status="VALID">6561</idno>
<idno type="issn">0022-5096</idno>
<title level="j">Journal of the Mechanics and Physics of Solids</title>
<imprint><publisher>Elsevier</publisher>
<biblScope unit="volume">69</biblScope>
<biblScope unit="pp">67-83</biblScope>
<date type="datePub">2014</date>
</imprint>
</monogr>
</biblStruct>
</sourceDesc>
<profileDesc><langUsage><language ident="en">English</language>
</langUsage>
<textClass><keywords scheme="author"><term xml:lang="en">Magnetorheological elastomers</term>
<term xml:lang="en">Thin films</term>
<term xml:lang="en">Finite strain</term>
<term xml:lang="en">Substrate</term>
<term xml:lang="en">Instabilities</term>
</keywords>
<classCode scheme="halDomain" n="phys.meca.solid">Physics [physics]/Mechanics [physics]/Mechanics of the solides [physics.class-ph]</classCode>
<classCode scheme="halDomain" n="spi.meca.solid">Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of the solides [physics.class-ph]</classCode>
<classCode scheme="halTypology" n="ART">Journal articles</classCode>
</textClass>
<abstract xml:lang="en">Magnetorheological elastomers (MREs) are ferromagnetic particle impregnated rubbers whose mechanical properties are altered by the application of external magnetic fields. Due to their coupled magneto-mechanical response, MREs are finding an increasing number of engineering applications. One such application is in haptics, where the goal is to actively control surface roughness. One way to achieve this is by exploiting the unstable regime of MRE substrate/layer assemblies subjected to transverse magnetic fields. In this work, we study the response of such an assembly subjected to a transverse magnetic field and in-plane stress. The layer is made up of a transversely isotropic MRE material, whose energy density has been obtained experimentally, while the substrate is a non-magnetic isotropic pure polymer/gel. An analytical solution to this problem based on a general, finite strain, 2D continuum modeling for both the MRE layer and the substrate, shows that for adequately soft substrates there is a finite-wavelength buckling mode under a transverse magnetic field. Moreover, the critical magnetic field can be substantially reduced in the presence of a compressive stress of the assembly, thus opening the possibility for haptic applications operating under low magnetic fields.</abstract>
</profileDesc>
</hal>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Ticri/CIDE/explor/HapticV1/Data/Hal/Checkpoint
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000100 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Hal/Checkpoint/biblio.hfd -nk 000100 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Ticri/CIDE |area= HapticV1 |flux= Hal |étape= Checkpoint |type= RBID |clé= Hal:hal-00995717 |texte= Instability of a magnetoelastic layer resting on a non-magnetic substrate }}
![]() | This area was generated with Dilib version V0.6.23. | ![]() |