Mid-Surface Scaling Invariance of Some Bending Strain Measures

The mid-surface scaling invariance of bending strain measures proposed in (Int. J. Solids Struct. 37(39):5517–5528, 2000 ) is discussed in light of the work of (J. Elast. 146(1):83–141, 2021 ).

Saved in:
Bibliographic Details
Published inJournal of elasticity Vol. 156; no. 2; pp. 619 - 621
Main Author Acharya, Amit
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.09.2024
Springer Nature B.V
Subjects
Online AccessGet full text
ISSN0374-3535
1573-2681
DOI10.1007/s10659-024-10066-9

Cover

Loading…
Abstract The mid-surface scaling invariance of bending strain measures proposed in (Int. J. Solids Struct. 37(39):5517–5528, 2000 ) is discussed in light of the work of (J. Elast. 146(1):83–141, 2021 ).
AbstractList The mid-surface scaling invariance of bending strain measures proposed in (Int. J. Solids Struct. 37(39):5517–5528, 2000) is discussed in light of the work of (J. Elast. 146(1):83–141, 2021).
The mid-surface scaling invariance of bending strain measures proposed in (Int. J. Solids Struct. 37(39):5517–5528, 2000 ) is discussed in light of the work of (J. Elast. 146(1):83–141, 2021 ).
Author Acharya, Amit
Author_xml – sequence: 1
  givenname: Amit
  surname: Acharya
  fullname: Acharya, Amit
  email: acharyaamit@cmu.edu
  organization: Department of Civil & Environmental Engineering, and Center for Nonlinear Analysis, Carnegie Mellon University
BookMark eNp9kE9LxDAQxYOs4O7qF_BU8BydJG2aXARd_LOwi4fqOaTpdOmym65JK_jt7VpB8OBpmJn3m3m8GZn41iMhlwyuGUB-ExnITFPgKR16Kak-IVOW5YJyqdiETEHkKRWZyM7ILMYtAGiVwpTcrpuKFn2orcOkcHbX-E2y9B82NNYPo7ZOinaPyT366rgqumAbn6zRxj5gPCentd1FvPipc_L2-PC6eKarl6fl4m5FnZCio9y5HMGy0pUOqjwHLp3GHDTHitcKuKqkAittVpeMo7TIGatTp7kSpUgzMSdX491DaN97jJ3Ztn3ww0sjQKcKRApyUKlR5UIbY8DauKazXdP6o-udYWCOaZkxLTOkZb7TMnpA-R_0EJq9DZ__Q2KE4iD2Gwy_rv6hvgDWkX02
CitedBy_id crossref_primary_10_1177_10812865241269725
crossref_primary_10_1098_rspa_2024_0394
crossref_primary_10_1007_s10659_024_10107_3
Cites_doi 10.1007/s10659-021-09851-7
10.1039/D3SM01123B
10.1016/S0020-7683(99)00231-0
10.1007/s10659-022-09894-4
ContentType Journal Article
Copyright The Author(s) 2024
The Author(s) 2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Copyright_xml – notice: The Author(s) 2024
– notice: The Author(s) 2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
DBID C6C
AAYXX
CITATION
7SR
7TB
8BQ
8FD
FR3
JG9
KR7
DOI 10.1007/s10659-024-10066-9
DatabaseName Springer Nature OA Free Journals
CrossRef
Engineered Materials Abstracts
Mechanical & Transportation Engineering Abstracts
METADEX
Technology Research Database
Engineering Research Database
Materials Research Database
Civil Engineering Abstracts
DatabaseTitle CrossRef
Materials Research Database
Civil Engineering Abstracts
Engineered Materials Abstracts
Technology Research Database
Mechanical & Transportation Engineering Abstracts
Engineering Research Database
METADEX
DatabaseTitleList CrossRef
Materials Research Database

Database_xml – sequence: 1
  dbid: C6C
  name: Springer Nature OA Free Journals
  url: http://www.springeropen.com/
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
Discipline Applied Sciences
Engineering
EISSN 1573-2681
EndPage 621
ExternalDocumentID 10_1007_s10659_024_10066_9
GrantInformation_xml – fundername: Carnegie Mellon University
GroupedDBID -54
-5F
-5G
-BR
-EM
-Y2
-~C
.86
.DC
.VR
06D
0R~
0VY
1N0
1SB
2.D
203
28-
29K
29~
2J2
2JN
2JY
2KG
2KM
2LR
2P1
2VQ
2~H
30V
4.4
406
408
409
40D
40E
5GY
5QI
5VS
67Z
6NX
6TJ
78A
8TC
8UJ
95-
95.
95~
96X
AAAVM
AABHQ
AACDK
AAHNG
AAIAL
AAJBT
AAJKR
AANZL
AARHV
AARTL
AASML
AATNV
AATVU
AAUYE
AAWCG
AAYIU
AAYQN
AAYTO
AAYZH
ABAKF
ABBBX
ABBXA
ABDPE
ABDZT
ABECU
ABEFU
ABFTD
ABFTV
ABHLI
ABHQN
ABJNI
ABJOX
ABKCH
ABKTR
ABMNI
ABMQK
ABNWP
ABQBU
ABQSL
ABSXP
ABTAH
ABTEG
ABTHY
ABTKH
ABTMW
ABULA
ABWNU
ABXPI
ACAOD
ACBXY
ACDTI
ACGFS
ACHSB
ACHXU
ACIWK
ACKNC
ACMDZ
ACMLO
ACOKC
ACOMO
ACPIV
ACSNA
ACZOJ
ADHHG
ADHIR
ADIMF
ADINQ
ADKNI
ADKPE
ADRFC
ADTPH
ADURQ
ADYFF
ADZKW
AEBTG
AEFIE
AEFQL
AEGAL
AEGNC
AEJHL
AEJRE
AEKMD
AEMSY
AENEX
AEOHA
AEPYU
AESKC
AETLH
AEVLU
AEXYK
AFBBN
AFEXP
AFGCZ
AFLOW
AFQWF
AFWTZ
AFZKB
AGAYW
AGDGC
AGGDS
AGJBK
AGMZJ
AGQEE
AGQMX
AGRTI
AGWIL
AGWZB
AGYKE
AHAVH
AHBYD
AHKAY
AHSBF
AHYZX
AI.
AIAKS
AIGIU
AIIXL
AILAN
AITGF
AJBLW
AJRNO
AJZVZ
ALMA_UNASSIGNED_HOLDINGS
ALWAN
AMKLP
AMXSW
AMYLF
AMYQR
AOCGG
ARMRJ
ASPBG
AVWKF
AXYYD
AYJHY
AZFZN
B-.
BA0
BBWZM
BDATZ
BGNMA
BSONS
C6C
CAG
COF
CS3
CSCUP
D-I
DDRTE
DL5
DNIVK
DPUIP
DU5
EBLON
EBS
EIOEI
EJD
ESBYG
F5P
FEDTE
FERAY
FFXSO
FIGPU
FINBP
FNLPD
FRRFC
FSGXE
FWDCC
GGCAI
GGRSB
GJIRD
GNWQR
GPTSA
GQ6
GQ7
GQ8
GXS
H13
HF~
HG5
HG6
HMJXF
HQYDN
HRMNR
HVGLF
HZ~
I09
IHE
IJ-
IKXTQ
ITM
IWAJR
IXC
IXE
IZIGR
IZQ
I~X
I~Z
J-C
J0Z
JBSCW
JCJTX
JZLTJ
KDC
KOV
KOW
LAK
LLZTM
M4Y
MA-
N2Q
NB0
NDZJH
NPVJJ
NQJWS
NU0
O9-
O93
O9G
O9I
O9J
OAM
OVD
P19
P2P
P9P
PF0
PT4
PT5
Q2X
QOK
QOS
R4E
R89
R9I
RHV
RNI
RNS
ROL
RPX
RSV
RZC
RZE
RZK
S16
S1Z
S26
S27
S28
S3B
SAP
SCLPG
SCV
SDH
SDM
SGB
SHX
SISQX
SJYHP
SNE
SNPRN
SNX
SOHCF
SOJ
SPH
SPISZ
SRMVM
SSLCW
STPWE
SZN
T13
T16
TEORI
TN5
TSG
TSK
TSV
TUC
U2A
UG4
UOJIU
UTJUX
UZXMN
VC2
VFIZW
VH1
W23
W48
W4F
WH7
WJK
WK8
YLTOR
Z45
Z5O
Z7S
Z7Y
Z7Z
Z86
Z8N
Z8S
Z8T
ZMTXR
ZY4
~02
~A9
~EX
AAPKM
AAYXX
ABBRH
ABDBE
ABFSG
ACSTC
ADHKG
AEZWR
AFDZB
AFHIU
AFOHR
AGQPQ
AHPBZ
AHWEU
AIXLP
ATHPR
AYFIA
CITATION
7SR
7TB
8BQ
8FD
ABRTQ
FR3
JG9
KR7
ID FETCH-LOGICAL-c363t-2cc7e0a1bcbc0d77026c9e7092ed2f8028d680a6a5fb12e6ae211f4c9283b3453
IEDL.DBID U2A
ISSN 0374-3535
IngestDate Fri Jul 25 12:20:24 EDT 2025
Thu Apr 24 22:55:24 EDT 2025
Tue Jul 01 00:20:28 EDT 2025
Fri Feb 21 02:38:33 EST 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 2
Keywords Bending strain
Scaling invariance
74K25
Nonlinear shell theory
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c363t-2cc7e0a1bcbc0d77026c9e7092ed2f8028d680a6a5fb12e6ae211f4c9283b3453
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
OpenAccessLink https://link.springer.com/10.1007/s10659-024-10066-9
PQID 3094803406
PQPubID 326256
PageCount 3
ParticipantIDs proquest_journals_3094803406
crossref_citationtrail_10_1007_s10659_024_10066_9
crossref_primary_10_1007_s10659_024_10066_9
springer_journals_10_1007_s10659_024_10066_9
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2024-09-01
PublicationDateYYYYMMDD 2024-09-01
PublicationDate_xml – month: 09
  year: 2024
  text: 2024-09-01
  day: 01
PublicationDecade 2020
PublicationPlace Dordrecht
PublicationPlace_xml – name: Dordrecht
– name: Groningen
PublicationSubtitle The Physical and Mathematical Science of Solids
PublicationTitle Journal of elasticity
PublicationTitleAbbrev J Elast
PublicationYear 2024
Publisher Springer Netherlands
Springer Nature B.V
Publisher_xml – name: Springer Netherlands
– name: Springer Nature B.V
References Vitral, Hanna (CR6) 2023; 153
Acharya (CR1) 2000; 37
Virga (CR5) 2024; 20
Ghiba, Bîrsan, Lewintan, Neff (CR3) 2021; 146
Koiter (CR4) 1960
Budiansky, Sanders (CR2) 1963
B. Budiansky (10066_CR2) 1963
I.D. Ghiba (10066_CR3) 2021; 146
E.G. Virga (10066_CR5) 2024; 20
A. Acharya (10066_CR1) 2000; 37
E. Vitral (10066_CR6) 2023; 153
W.T. Koiter (10066_CR4) 1960
References_xml – volume: 146
  start-page: 83
  issue: 1
  year: 2021
  end-page: 141
  ident: CR3
  article-title: A constrained Cosserat shell model up to order : modelling, existence of minimizers, relations to classical shell models and scaling invariance of the bending tensor
  publication-title: J. Elast.
  doi: 10.1007/s10659-021-09851-7
– volume: 20
  start-page: 144
  issue: 1
  year: 2024
  end-page: 151
  ident: CR5
  article-title: Pure measures of bending for soft plates
  publication-title: Soft Matter
  doi: 10.1039/D3SM01123B
– start-page: 12
  year: 1960
  end-page: 33
  ident: CR4
  article-title: A consistent first approximation in the general theory of thin elastic shells
  publication-title: Proceedings of the IUTAM Symposium on the Theory of Thin Shells
– volume: 37
  start-page: 5517
  issue: 39
  year: 2000
  end-page: 5528
  ident: CR1
  article-title: A nonlinear generalization of the Koiter–Sanders–Budiansky bending strain measure
  publication-title: Int. J. Solids Struct.
  doi: 10.1016/S0020-7683(99)00231-0
– start-page: 129
  year: 1963
  end-page: 140
  ident: CR2
  article-title: On the ‘Best’ first-order linear shell theory
  publication-title: Progress in Applied Mechanics (the Prager Anniversary Volume)
– volume: 153
  start-page: 571
  issue: 4–5
  year: 2023
  end-page: 579
  ident: CR6
  article-title: Dilation-invariant bending of elastic plates, and broken symmetry in shells
  publication-title: J. Elast.
  doi: 10.1007/s10659-022-09894-4
– start-page: 12
  volume-title: Proceedings of the IUTAM Symposium on the Theory of Thin Shells
  year: 1960
  ident: 10066_CR4
– volume: 146
  start-page: 83
  issue: 1
  year: 2021
  ident: 10066_CR3
  publication-title: J. Elast.
  doi: 10.1007/s10659-021-09851-7
– volume: 37
  start-page: 5517
  issue: 39
  year: 2000
  ident: 10066_CR1
  publication-title: Int. J. Solids Struct.
  doi: 10.1016/S0020-7683(99)00231-0
– volume: 20
  start-page: 144
  issue: 1
  year: 2024
  ident: 10066_CR5
  publication-title: Soft Matter
  doi: 10.1039/D3SM01123B
– volume: 153
  start-page: 571
  issue: 4–5
  year: 2023
  ident: 10066_CR6
  publication-title: J. Elast.
  doi: 10.1007/s10659-022-09894-4
– start-page: 129
  volume-title: Progress in Applied Mechanics (the Prager Anniversary Volume)
  year: 1963
  ident: 10066_CR2
SSID ssj0009840
Score 2.3897743
Snippet The mid-surface scaling invariance of bending strain measures proposed in (Int. J. Solids Struct. 37(39):5517–5528, 2000 ) is discussed in light of the work of...
The mid-surface scaling invariance of bending strain measures proposed in (Int. J. Solids Struct. 37(39):5517–5528, 2000) is discussed in light of the work of...
SourceID proquest
crossref
springer
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 619
SubjectTerms Bend tests
Biomechanics
Classical and Continuum Physics
Classical Mechanics
Engineering
Invariance
Materials Science
Mathematical Applications in the Physical Sciences
Theoretical and Applied Mechanics
Title Mid-Surface Scaling Invariance of Some Bending Strain Measures
URI https://link.springer.com/article/10.1007/s10659-024-10066-9
https://www.proquest.com/docview/3094803406
Volume 156
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3JTsMwEB1BucCBHVEolQ_cwFJqO4svSG3Vsqm9lEpwimzHkZCgRV34fsZuQgsCJE45ZGJFz8u8if1eAM5FQ5ssYRnNg8hSYWNJEysEzaVRzlBMSC-P7vWjm6G4ewwfC1HYtDztXm5J-pV6RewWhZJiTsGlAxMlleuwEWLt7g7yDVlzabWbeBmkM1ahPORhIZX5uY2v6WjJMb9ti_ps092F7YImkuaiX_dgzY72YaegjKSYkNN92FrxEzyAq95zRgfzSa6MxSDlpObkdvSO9bDrXDLOyWD8aknLei0LGfgfRJDe4jvh9BCG3c5D-4YWP0ighkd8RpkxsQ0Uwq1NkMUx1lNG2jiQzGYsT5A6ZFESqEiFuW4wGymL8OfCSOQUmouQH0FlNB7ZYyBKBxilmGY6F5wjS8liJrgONK4BxiZVaJQ4paZwD3fv-JIufY8dtilim3psU1mFi89n3hbeGX9G10r402IeTVOO1WcScGQdVbgsu2R5-_fWTv4XfgqbzI0Kf3isBpXZZG7PkG3MdB02mt1Wq--u10_3nTqst6N23Q-5D9Kky-w
linkProvider Springer Nature
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1NTwIxEJ0oHtSDH6gRRe3BmzZZ2u5HLyZKNKDABUi4bdpuNzFRMHz4-52WRZSoieedbTZv2p03232vAJeipk2WsIzmQWSpsLGkiRWC5tIoZygmpJdHtztRoy8eB-GgsMlxWpiV_XsncYtCSbGS4AsDyyOV67AhsFP2G7NRfWmwm3jxo7NToTzkYSGQ-XmM70VoySxXNkN9jXnYg52CHJLbeTb3Yc0Oy7BbEEVSLMNJGba_uAgewE37OaPd2ThXxmKQcgJz0hy-YxfsUkpGOemOXi25s17BQrr-WAjSnn8dnBxC_-G-V2_Q4lgEanjEp5QZE9tAIcjaBFkcYxdlpI0DyWzG8gQJQxYlgYpUmOsas5GyCHoujEQmobkI-RGUhqOhPQaidIBRimmmc8E5cpMsZoLrQOPKNzapQG2BU2oKz3D3jC_p0u3YYZsitqnHNpUVuPq8523umPFndHUBf1qsnknKsedMAo5cowLXi5QsL_8-2sn_wi9gs9Frt9JWs_N0ClvMzRD_-1gVStPxzJ4h35jqcz_RPgDB-cbR
linkToPdf http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LT9wwEB7RRarKgVdbsbzqAzcwZG3n4QsSr-W5qNKCRE-R7dhSBWQRm-XAr2ecR3dBFKnqORPL8dgz38T-PgNsiI42WcIy6oLIUmFjSRMrBHXSKC8oJmRJj-5dRifX4uwmvJlg8Zen3ZstyYrT4FWa8mLnIXM7E8S3KJQU8wuGEUyaVH6CaeHF2VswvXf86_xoLLyblKRIL7NCecjDmjjzfiuvk9MYcb7ZJC1zT3cOVNPr6sjJ7fao0Nvm-Y2g4_981jzM1sCU7FUzaQGmbL4IczVIJXUIGC7CzISC4VfY7f3OaH_06JSxaKQ8uZ2c5k9YgfvpRAaO9Af3luzbkj1D-uWVFKRX_ZkcfoPr7tHVwQmtr2Sghke8oMyY2AYKHaxNkMUxVnBG2jiQzGbMJQhWsigJVKRCpzvMRsqiw50wElGM5iLk36GVD3K7BETpAK0U00w7wTnioixmgutAY9QxNmlDp_FFamq9ct_Hu3SstOyHK8XhSsvhSmUbNv-881CpdXxovdq4OK1X7jDlWO8mAUec04atxmPjx39vbfnfzH_A55-H3fTi9PJ8Bb4w7_Py5NoqtIrHkV1DqFPo9Xo2vwAAcPDP
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=Mid-Surface+Scaling+Invariance+of+Some+Bending+Strain+Measures&rft.jtitle=Journal+of+elasticity&rft.au=Acharya%2C+Amit&rft.date=2024-09-01&rft.issn=0374-3535&rft.eissn=1573-2681&rft.volume=156&rft.issue=2&rft.spage=619&rft.epage=621&rft_id=info:doi/10.1007%2Fs10659-024-10066-9&rft.externalDBID=n%2Fa&rft.externalDocID=10_1007_s10659_024_10066_9
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0374-3535&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0374-3535&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0374-3535&client=summon