Swelling-induced wrinkling in layered gel beams

Gels are widely employed in smart mechanical devices and biomedical applications. Swelling-induced bending actuation can be obtained by means of a simple bilayer gel beam. We show that this system can also exhibit wrinkling patterns of potential interest for structural morphing and sensing. We study...

Full description

Saved in:
Bibliographic Details
Published inProceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Vol. 473; no. 2207; p. 20170454
Main Authors Nardinocchi, P., Puntel, E.
Format Journal Article
LanguageEnglish
Published England The Royal Society Publishing 01.11.2017
EditionRoyal Society (Great Britain)
Subjects
Actuation
Beams (structural)
Bending machines
Bilayer Beam
Biomedical materials
Finite Strains
Gels
Mechanical devices
Morphing
Morphing And Sensing
Perturbation methods
Stiffness
Strain
Surface Instability
Surface stability
Swelling
Swelling Gel
Wrinkling
bilayer beam
finite strains
surface instability
swelling gel
wrinkling
morphing and sensing
Online AccessGet full text

Cover

Abstract Gels are widely employed in smart mechanical devices and biomedical applications. Swelling-induced bending actuation can be obtained by means of a simple bilayer gel beam. We show that this system can also exhibit wrinkling patterns of potential interest for structural morphing and sensing. We study swelling-induced wrinkling at the extrados of a bilayer gel beam with the softer layer on top. The bent configuration at finite strain is recovered first and, starting from it, a linear perturbation analysis is performed. We delimit the zone corresponding to wrinkling modes in a parameter plane encompassing a mechanical stiffness ratio and a geometric top layer to total height ratio. Interestingly, we observe that surface instability precedes and envelopes wrinkling modes of finite wavelength. Finally, we discuss the effect of changes in stiffness and of the Flory–Huggins parameters χ on the size of the wrinkling domain.
AbstractList Gels are widely employed in smart mechanical devices and biomedical applications. Swelling-induced bending actuation can be obtained by means of a simple bilayer gel beam. We show that this system can also exhibit wrinkling patterns of potential interest for structural morphing and sensing. We study swelling-induced wrinkling at the extrados of a bilayer gel beam with the softer layer on top. The bent configuration at finite strain is recovered first and, starting from it, a linear perturbation analysis is performed. We delimit the zone corresponding to wrinkling modes in a parameter plane encompassing a mechanical stiffness ratio and a geometric top layer to total height ratio. Interestingly, we observe that surface instability precedes and envelopes wrinkling modes of finite wavelength. Finally, we discuss the effect of changes in stiffness and of the Flory–Huggins parameters χ on the size of the wrinkling domain.
Gels are widely employed in smart mechanical devices and biomedical applications. Swelling-induced bending actuation can be obtained by means of a simple bilayer gel beam. We show that this system can also exhibit wrinkling patterns of potential interest for structural morphing and sensing. We study swelling-induced wrinkling at the extrados of a bilayer gel beam with the softer layer on top. The bent configuration at finite strain is recovered first and, starting from it, a linear perturbation analysis is performed. We delimit the zone corresponding to wrinkling modes in a parameter plane encompassing a mechanical stiffness ratio and a geometric top layer to total height ratio. Interestingly, we observe that surface instability precedes and envelopes wrinkling modes of finite wavelength. Finally, we discuss the effect of changes in stiffness and of the Flory–Huggins parameters χ on the size of the wrinkling domain.
Gels are widely employed in smart mechanical devices and biomedical applications. Swelling-induced bending actuation can be obtained by means of a simple bilayer gel beam. We show that this system can also exhibit wrinkling patterns of potential interest for structural morphing and sensing. We study swelling-induced wrinkling at the extrados of a bilayer gel beam with the softer layer on top. The bent configuration at finite strain is recovered first and, starting from it, a linear perturbation analysis is performed. We delimit the zone corresponding to wrinkling modes in a parameter plane encompassing a mechanical stiffness ratio and a geometric top layer to total height ratio. Interestingly, we observe that surface instability precedes and envelopes wrinkling modes of finite wavelength. Finally, we discuss the effect of changes in stiffness and of the Flory-Huggins parameters on the size of the wrinkling domain.
Gels are widely employed in smart mechanical devices and biomedical applications. Swelling-induced bending actuation can be obtained by means of a simple bilayer gel beam. We show that this system can also exhibit wrinkling patterns of potential interest for structural morphing and sensing. We study swelling-induced wrinkling at the extrados of a bilayer gel beam with the softer layer on top. The bent configuration at finite strain is recovered first and, starting from it, a linear perturbation analysis is performed. We delimit the zone corresponding to wrinkling modes in a parameter plane encompassing a mechanical stiffness ratio and a geometric top layer to total height ratio. Interestingly, we observe that surface instability precedes and envelopes wrinkling modes of finite wavelength. Finally, we discuss the effect of changes in stiffness and of the Flory-Huggins parameters χ on the size of the wrinkling domain.Gels are widely employed in smart mechanical devices and biomedical applications. Swelling-induced bending actuation can be obtained by means of a simple bilayer gel beam. We show that this system can also exhibit wrinkling patterns of potential interest for structural morphing and sensing. We study swelling-induced wrinkling at the extrados of a bilayer gel beam with the softer layer on top. The bent configuration at finite strain is recovered first and, starting from it, a linear perturbation analysis is performed. We delimit the zone corresponding to wrinkling modes in a parameter plane encompassing a mechanical stiffness ratio and a geometric top layer to total height ratio. Interestingly, we observe that surface instability precedes and envelopes wrinkling modes of finite wavelength. Finally, we discuss the effect of changes in stiffness and of the Flory-Huggins parameters χ on the size of the wrinkling domain.
Author Puntel, E.
Nardinocchi, P.
AuthorAffiliation 1 Dipartimento di Ingegneria Strutturale e Geotecnica , Sapienza Universitá di Roma , via Eudossiana 18, 00184 Roma, Italy
2 Dipartimento Politecnico di Ingegneria e Architettura , Universitá di Udine , via del Cotonificio 114, 33100 Udine, Italy
AuthorAffiliation_xml – name: 1 Dipartimento di Ingegneria Strutturale e Geotecnica , Sapienza Universitá di Roma , via Eudossiana 18, 00184 Roma, Italy
– name: 2 Dipartimento Politecnico di Ingegneria e Architettura , Universitá di Udine , via del Cotonificio 114, 33100 Udine, Italy
Author_xml – sequence: 1
  givenname: P.
  surname: Nardinocchi
  fullname: Nardinocchi, P.
  email: paola.nardinocchi@uniroma1.it
  organization: Dipartimento di Ingegneria Strutturale e Geotecnica, Sapienza Universitá di Roma, via Eudossiana 18, 00184 Roma, Italy
– sequence: 2
  givenname: E.
  orcidid: 0000-0003-1348-5046
  surname: Puntel
  fullname: Puntel, E.
  organization: Dipartimento Politecnico di Ingegneria e Architettura, Universitá di Udine, via del Cotonificio 114, 33100 Udine, Italy
BackLink https://www.ncbi.nlm.nih.gov/pubmed/29225497$$D View this record in MEDLINE/PubMed
BookMark eNp9UU1vEzEQtVAR_YArRxSJC5dNx9_2BamqSotUCUThbHm9TnC7sYO92yr8erykRW2kcrI1896bN_MO0V5M0SP0FsMcg1bHuaztnACWc2CcvUAHmEncEM3EXv1TwRoOBO-jw1KuAUBzJV-hfaIJ4UzLA3R8def7PsRlE2I3Ot_N7nKIN1NlFuKstxufa3Hp-1nr7aq8Ri8Xti_-zf17hH58Ovt-etFcfjn_fHpy2TguyNBQK0TnHGAlWKuAKUKA84VwQgMnoDwlWnQCt20LHaZeMCpE3YJz3cmpcoQ-bnXXY7vynfNxyLY36xxWNm9MssE87cTw0yzTreESa0FUFfhwL5DTr9GXwaxCcXVXG30ai8F6Gia1FhX6fgd6ncYc63oVpRgoEJhX1LvHjv5ZebhlBbAtwOVUSvYL48Jgh5Amg6E3GMwUmZkiM1NkZoqs0uY7tAflZwl0S8hpUz0mF_yweWT5OdbN_1jfrr6e3DJJQw2qMhTFILGg3PwO661UbZpQyujNX8hT-d1pfwC6wsru
CitedBy_id crossref_primary_10_1016_j_jmps_2019_07_013
crossref_primary_10_1098_rsta_2018_0074
crossref_primary_10_1016_j_ijsolstr_2021_111156
crossref_primary_10_1063_1_5043580
crossref_primary_10_1098_rspa_2019_0174
crossref_primary_10_1016_j_ijnonlinmec_2020_103589
crossref_primary_10_1016_j_cej_2022_134665
crossref_primary_10_1016_j_mechmat_2019_103199
crossref_primary_10_1103_PhysRevE_98_033003
crossref_primary_10_1016_j_jmps_2022_105171
crossref_primary_10_1021_acsbiomaterials_4c01373
crossref_primary_10_1115_1_4049633
Cites_doi 10.1016/j.jmps.2005.04.008
10.1093/imamat/hxq020
10.2140/jomms.2011.6.511
10.1017/CBO9781139178938
10.1039/C4SM01038H
10.1007/s11012-017-0629-x
10.1146/annurev-conmatphys-062910-140436
10.1016/j.ijsolstr.2009.08.017
10.1039/C2SM06844C
10.1103/PhysRevLett.106.105702
10.1098/rspa.2011.0384
10.1098/rspa.2014.0467
10.3390/s8010561
10.1126/science.1215309
10.1016/j.jmps.2012.07.010
10.1016/j.progpolymsci.2012.09.001
10.1364/JOSA.11.000233
10.1007/s00542-009-0978-z
10.1115/1.4030384
10.1063/1.1723791
10.1177/1045389X15606997
10.1039/b912235d
10.1007/s000330050180
10.1039/c0sm00317d
10.1039/C6SM01088A
10.1115/1.3627365
10.1039/C3SM00135K
10.1016/j.jmps.2011.01.005
10.1063/1.1723792
10.1021/la503407z
10.1016/0021-9991(92)90417-W
10.1063/1.4969046
10.1039/c3sm50640a
10.1039/C5SM00863H
10.1098/rspa.1949.0004
10.1093/qjmam/hbn009
10.1039/c2sm00011c
10.1016/0022-5096(80)90005-8
10.1016/j.ijsolstr.2016.02.026
10.1007/978-3-540-75645-3
10.1016/j.jmps.2010.05.002
ContentType Journal Article
Copyright 2017 The Author(s)
Copyright The Royal Society Publishing Nov 2017
2017 The Author(s) 2017
Copyright_xml – notice: 2017 The Author(s)
– notice: Copyright The Royal Society Publishing Nov 2017
– notice: 2017 The Author(s) 2017
DBID AAYXX
CITATION
NPM
7X8
5PM
DOI 10.1098/rspa.2017.0454
DatabaseName CrossRef
PubMed
MEDLINE - Academic
PubMed Central (Full Participant titles)
DatabaseTitle CrossRef
PubMed
MEDLINE - Academic
DatabaseTitleList

PubMed
CrossRef
MEDLINE - Academic
Database_xml – sequence: 1
  dbid: NPM
  name: PubMed
  url: https://proxy.k.utb.cz/login?url=http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=PubMed
  sourceTypes: Index Database
DeliveryMethod fulltext_linktorsrc
Discipline Sciences (General)
Mathematics
DocumentTitleAlternate wrinkling in swelling layered gel beams
EISSN 1471-2946
Edition Royal Society (Great Britain)
EndPage 20170454
ExternalDocumentID PMC5719628
29225497
10_1098_rspa_2017_0454
Genre Journal Article
GrantInformation_xml – fundername: Istituto Nazionale di Alta Matematica “Francesco Severi”; ;
  grantid: 58-6408-3-027
  funderid: http://dx.doi.org/10.13039/100009112
– fundername: ;
  grantid: 58-6408-3-027
GroupedDBID 18M
4.4
5VS
AACGO
AANCE
ABBHK
ABFAN
ABPLY
ABPTK
ABTLG
ABXXB
ABYWD
ACGFO
ACIPV
ACIWK
ACMTB
ACNCT
ACQIA
ACTMH
ADBBV
ADODI
ADULT
ADZLD
AEUPB
AEXZC
AFVYC
AFXKK
ALMA_UNASSIGNED_HOLDINGS
BTFSW
DCCCD
DNJUQ
DOOOF
DQDLB
DSRWC
DWIUU
EBS
ECEWR
EFSUC
EJD
FRP
HH5
HQ6
ICLEN
JAAYA
JBMMH
JENOY
JHFFW
JKQEH
JLS
JLXEF
JMS
JPM
JSG
JSODD
JST
K-O
KQ8
MRS
MV1
NSAHA
OK1
OP1
RHF
RNS
RRY
SA0
TR2
V1E
W8F
XSW
YF5
~02
AAWIL
AAYXX
ABXSQ
ACHIC
ACRPL
ADNMO
ADQXQ
AGLNM
AGPVY
AGQPQ
AIHAF
AJZGM
ALMYZ
ALRMG
AQVQM
AS~
BGBPD
CAG
CITATION
COF
FEDTE
H13
HGD
HQ3
HTVGU
IPSME
ROL
WHG
ZCG
ZE2
NPM
7X8
5PM
ID FETCH-LOGICAL-c562t-3a66dcc01864b804822055f6c6905208e3296d61bbb0d13e64366017559d70d13
ISSN 1364-5021
IngestDate Thu Aug 21 18:13:30 EDT 2025
Thu Jul 10 23:09:20 EDT 2025
Mon Jun 30 09:37:06 EDT 2025
Mon Jul 21 06:02:53 EDT 2025
Tue Jul 01 04:05:48 EDT 2025
Thu Apr 24 23:11:32 EDT 2025
Wed Jan 17 02:37:15 EST 2024
Tue May 24 16:18:03 EDT 2022
IsDoiOpenAccess false
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 2207
Keywords bilayer beam
finite strains
surface instability
swelling gel
wrinkling
morphing and sensing
Language English
License http://royalsocietypublishing.org/licence: Published by the Royal Society. All rights reserved.
Published by the Royal Society. All rights reserved.
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c562t-3a66dcc01864b804822055f6c6905208e3296d61bbb0d13e64366017559d70d13
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
content type line 23
ORCID 0000-0003-1348-5046
OpenAccessLink https://www.ncbi.nlm.nih.gov/pmc/articles/5719628
PMID 29225497
PQID 1984080615
PQPubID 2046233
PageCount 1
ParticipantIDs proquest_journals_1984080615
royalsociety_journals_10_1098_rspa_2017_0454
crossref_citationtrail_10_1098_rspa_2017_0454
royalsociety_journals_RSPAv473i2207_0831071635_zip_rspa_473_issue_2207_rspa_2017_0454_rspa_2017_0454
pubmedcentral_primary_oai_pubmedcentral_nih_gov_5719628
pubmed_primary_29225497
crossref_primary_10_1098_rspa_2017_0454
proquest_miscellaneous_1975597996
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 20171101
2017-11-00
2017-Nov
PublicationDateYYYYMMDD 2017-11-01
PublicationDate_xml – month: 11
  year: 2017
  text: 20171101
  day: 1
PublicationDecade 2010
PublicationPlace England
PublicationPlace_xml – name: England
– name: London
PublicationTitle Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences
PublicationTitleAbbrev Proc. R. Soc. A
PublicationTitleAlternate Proc Math Phys Eng Sci
PublicationYear 2017
Publisher The Royal Society Publishing
Publisher_xml – name: The Royal Society Publishing
References e_1_3_6_30_2
e_1_3_6_31_2
e_1_3_6_32_2
e_1_3_6_10_2
e_1_3_6_19_2
e_1_3_6_14_2
e_1_3_6_37_2
e_1_3_6_13_2
e_1_3_6_38_2
e_1_3_6_12_2
e_1_3_6_39_2
e_1_3_6_11_2
e_1_3_6_18_2
e_1_3_6_33_2
e_1_3_6_17_2
e_1_3_6_34_2
e_1_3_6_16_2
e_1_3_6_35_2
e_1_3_6_15_2
e_1_3_6_36_2
e_1_3_6_41_2
e_1_3_6_20_2
e_1_3_6_43_2
e_1_3_6_21_2
e_1_3_6_42_2
e_1_3_6_5_2
e_1_3_6_4_2
e_1_3_6_3_2
e_1_3_6_2_2
e_1_3_6_9_2
e_1_3_6_8_2
e_1_3_6_7_2
e_1_3_6_6_2
Achenbach J (e_1_3_6_40_2) 1984
e_1_3_6_26_2
e_1_3_6_27_2
e_1_3_6_28_2
e_1_3_6_29_2
e_1_3_6_22_2
e_1_3_6_23_2
e_1_3_6_24_2
e_1_3_6_25_2
22403385 - Science. 2012 Mar 9;335(6073):1201-5
25525640 - Soft Matter. 2013 Jun 21;9(23):5524-8
27714339 - Soft Matter. 2016 Sep 28;12 (38):7977-7982
27879722 - Sensors (Basel). 2008 Jan 25;8(1):561-581
25386998 - Langmuir. 2015 May 12;31(18):5015-24
21469809 - Phys Rev Lett. 2011 Mar 11;106(10):105702
25383031 - Proc Math Phys Eng Sci. 2014 Nov 8;470(2171):20140467
26076671 - Soft Matter. 2015 Aug 7;11(29):5812-20
25041764 - Soft Matter. 2014 Sep 14;10(34):6520-9
References_xml – ident: e_1_3_6_38_2
  doi: 10.1016/j.jmps.2005.04.008
– ident: e_1_3_6_19_2
  doi: 10.1093/imamat/hxq020
– ident: e_1_3_6_22_2
  doi: 10.2140/jomms.2011.6.511
– ident: e_1_3_6_25_2
  doi: 10.1017/CBO9781139178938
– ident: e_1_3_6_31_2
  doi: 10.1039/C4SM01038H
– ident: e_1_3_6_34_2
  doi: 10.1007/s11012-017-0629-x
– ident: e_1_3_6_6_2
  doi: 10.1146/annurev-conmatphys-062910-140436
– ident: e_1_3_6_18_2
  doi: 10.1016/j.ijsolstr.2009.08.017
– ident: e_1_3_6_28_2
  doi: 10.1039/C2SM06844C
– ident: e_1_3_6_27_2
  doi: 10.1103/PhysRevLett.106.105702
– ident: e_1_3_6_29_2
  doi: 10.1098/rspa.2011.0384
– ident: e_1_3_6_10_2
  doi: 10.1098/rspa.2014.0467
– ident: e_1_3_6_14_2
  doi: 10.3390/s8010561
– ident: e_1_3_6_3_2
  doi: 10.1126/science.1215309
– ident: e_1_3_6_33_2
  doi: 10.1016/j.jmps.2012.07.010
– ident: e_1_3_6_16_2
  doi: 10.1016/j.progpolymsci.2012.09.001
– ident: e_1_3_6_8_2
  doi: 10.1364/JOSA.11.000233
– ident: e_1_3_6_15_2
  doi: 10.1007/s00542-009-0978-z
– ident: e_1_3_6_30_2
  doi: 10.1115/1.4030384
– ident: e_1_3_6_35_2
  doi: 10.1063/1.1723791
– ident: e_1_3_6_4_2
  doi: 10.1177/1045389X15606997
– ident: e_1_3_6_13_2
  doi: 10.1039/b912235d
– ident: e_1_3_6_39_2
  doi: 10.1007/s000330050180
– ident: e_1_3_6_32_2
  doi: 10.1039/c0sm00317d
– ident: e_1_3_6_9_2
  doi: 10.1039/C6SM01088A
– volume-title: Wave propagation in elastic solids
  year: 1984
  ident: e_1_3_6_40_2
– ident: e_1_3_6_24_2
  doi: 10.1115/1.3627365
– ident: e_1_3_6_11_2
  doi: 10.1039/C3SM00135K
– ident: e_1_3_6_43_2
  doi: 10.1016/j.jmps.2011.01.005
– ident: e_1_3_6_36_2
  doi: 10.1063/1.1723792
– ident: e_1_3_6_2_2
  doi: 10.1021/la503407z
– ident: e_1_3_6_21_2
  doi: 10.1016/0021-9991(92)90417-W
– ident: e_1_3_6_37_2
  doi: 10.1063/1.4969046
– ident: e_1_3_6_12_2
  doi: 10.1039/c3sm50640a
– ident: e_1_3_6_5_2
  doi: 10.1039/C5SM00863H
– ident: e_1_3_6_20_2
  doi: 10.1098/rspa.1949.0004
– ident: e_1_3_6_42_2
  doi: 10.1093/qjmam/hbn009
– ident: e_1_3_6_7_2
  doi: 10.1039/c2sm00011c
– ident: e_1_3_6_17_2
  doi: 10.1016/0022-5096(80)90005-8
– ident: e_1_3_6_23_2
  doi: 10.1016/j.ijsolstr.2016.02.026
– ident: e_1_3_6_41_2
  doi: 10.1007/978-3-540-75645-3
– ident: e_1_3_6_26_2
  doi: 10.1016/j.jmps.2010.05.002
– reference: 26076671 - Soft Matter. 2015 Aug 7;11(29):5812-20
– reference: 27879722 - Sensors (Basel). 2008 Jan 25;8(1):561-581
– reference: 27714339 - Soft Matter. 2016 Sep 28;12 (38):7977-7982
– reference: 25041764 - Soft Matter. 2014 Sep 14;10(34):6520-9
– reference: 25386998 - Langmuir. 2015 May 12;31(18):5015-24
– reference: 22403385 - Science. 2012 Mar 9;335(6073):1201-5
– reference: 25525640 - Soft Matter. 2013 Jun 21;9(23):5524-8
– reference: 25383031 - Proc Math Phys Eng Sci. 2014 Nov 8;470(2171):20140467
– reference: 21469809 - Phys Rev Lett. 2011 Mar 11;106(10):105702
SSID ssj0009587
Score 2.3109643
Snippet Gels are widely employed in smart mechanical devices and biomedical applications. Swelling-induced bending actuation can be obtained by means of a simple...
SourceID pubmedcentral
proquest
pubmed
crossref
royalsociety
SourceType Open Access Repository
Aggregation Database
Index Database
Enrichment Source
Publisher
StartPage 20170454
SubjectTerms Actuation
Beams (structural)
Bending machines
Bilayer Beam
Biomedical materials
Finite Strains
Gels
Mechanical devices
Morphing
Morphing And Sensing
Perturbation methods
Stiffness
Strain
Surface Instability
Surface stability
Swelling
Swelling Gel
Wrinkling
Title Swelling-induced wrinkling in layered gel beams
URI https://royalsocietypublishing.org/doi/full/10.1098/rspa.2017.0454
https://www.ncbi.nlm.nih.gov/pubmed/29225497
https://www.proquest.com/docview/1984080615
https://www.proquest.com/docview/1975597996
https://pubmed.ncbi.nlm.nih.gov/PMC5719628
Volume 473
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3db9MwELfKeIGHiY2vjIGChASopMunnTxWCDQNMRW2SXuzYseFSiWt-gFifz13tuO0XSsBL1EaX53Ev_P5zrkPQl5RytiQKhGkZcaCNInzoBS5CMJE0hIsLhknGO_8-ZyeXqVn19l1p3O24rW0XIievNkaV_I_qMI1wBWjZP8BWdcpXIBzwBeOgDAc_wrjC9x5g7UnAMN6iR_yf81GugS7DlMZl7-xEGf3mxp3hSptWnKriA7cwjVv3ATMToJ14-x1-yaUp8nqqgsD2I0Qc45b7qpNZ9i1i6lT0s-R-eqJlLpucBtINlhi6EobBWH3HGAdi9yegxGTCU2DLDSxzY0cTU1NEsswcWyq2TaCEfP0pCZf9C2pHRYYiQB2PCaCilhvkxBGffpDYxgXMVq0rF29nE9h03SH3I3BZMBqFp--5CsJmHWxRPfkLoFnfrJ-Y0wPbbta11VuGSBb_GhniNTcALWip1w-IPvWwPD7hlsOSEfVh-R-i-P8kBxYgT7339is428fkpNNZvIdM_mj2rfM5AMz-ZqZHpGrjx8u358GtppGIEHHXQRJSWklZRjlNBU5CG4Msc6GVNICfaFylcQFrWgkhAirKFGgqlKw1hmYnBXDK4_JXj2p1VPiS_ijShl0A8phlgzLqgiVEAkrWJXItPRI0IwblzbVPFY8GXPj8pBzHHKOQ85xyD3y2tFPTZKVnZTHDQzcTsQ5j4o8BcMHdHOPvHTNICbx21dZq8kSafBFGFj3HnliUHO3auD2CFvD0xFgCvb1lnr0XadizxisYHHukXeryK882o63qLaTf70Y9H_CPBrh7OG6CCADgynjN6Op6QMauZ5gXJOs97vx82jnmz4j99ppfUz2FrOleg7K9UK80LPmD8OUyVI
linkProvider Colorado Alliance of Research Libraries
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Swelling-induced+wrinkling+in+layered+gel+beams&rft.jtitle=Proceedings+of+the+Royal+Society.+A%2C+Mathematical%2C+physical%2C+and+engineering+sciences&rft.au=Nardinocchi%2C+P&rft.au=Puntel%2C+E&rft.date=2017-11-01&rft.issn=1364-5021&rft.volume=473&rft.issue=2207&rft.spage=20170454&rft_id=info:doi/10.1098%2Frspa.2017.0454&rft_id=info%3Apmid%2F29225497&rft.externalDocID=29225497
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1364-5021&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1364-5021&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1364-5021&client=summon