Study on Mechanism of Rock Joint Normal Deformation Based on Mesoscopic Modified Hertzian Contact Model

Theoretical Hertzian contact model is used to numerically study contact area of rock joints under normal deformation, stress distribution, and spatial variation of aperture during compression. Contact points suffer from the influence of shear angle and the overlap of mutual contacts. The boundary co...

Full description

Saved in:
Bibliographic Details
Published inRock mechanics and rock engineering Vol. 57; no. 12; pp. 10447 - 10465
Main Authors Ma, Haichun, Cao, Yuan, Qian, Jiazhong, Lu, Zhitang, Li, Jianping
Format Journal Article
LanguageEnglish
Published Vienna Springer Vienna 01.12.2024
Springer Nature B.V
Subjects
Online AccessGet full text
ISSN0723-2632
1434-453X
DOI10.1007/s00603-024-04105-z

Cover

Abstract Theoretical Hertzian contact model is used to numerically study contact area of rock joints under normal deformation, stress distribution, and spatial variation of aperture during compression. Contact points suffer from the influence of shear angle and the overlap of mutual contacts. The boundary correction contact model and tangential stress effect correction model are studied to analyze mesoscopic mechanical behavior of contact changes during joint closure. Contact area, contact force, and aperture are depicted based on modified Hertzian contact model. A single-joint loading experiments with the pressure measurement film was used to explore the local stress distribution during loading process. Experimental results are compared with numerical simulation results, and there is a good agreement between the two, which verifies the accuracy of the correction. Boundary effect of adjacent contact points truly reflects the stress distribution during joint contact closure process. The correction model is of great theoretical value for analyzing mesoscopic deformation of joints and provides a reference for actual rock mass deformation and seepage through joints. Highlights A mesoscopic contact constitutive model of rock fracture was established and its effectiveness was verified by experiments. Effective contact boundary problem in the contact process was revealed. Tangential stress effect of contact point was corrected.
AbstractList Theoretical Hertzian contact model is used to numerically study contact area of rock joints under normal deformation, stress distribution, and spatial variation of aperture during compression. Contact points suffer from the influence of shear angle and the overlap of mutual contacts. The boundary correction contact model and tangential stress effect correction model are studied to analyze mesoscopic mechanical behavior of contact changes during joint closure. Contact area, contact force, and aperture are depicted based on modified Hertzian contact model. A single-joint loading experiments with the pressure measurement film was used to explore the local stress distribution during loading process. Experimental results are compared with numerical simulation results, and there is a good agreement between the two, which verifies the accuracy of the correction. Boundary effect of adjacent contact points truly reflects the stress distribution during joint contact closure process. The correction model is of great theoretical value for analyzing mesoscopic deformation of joints and provides a reference for actual rock mass deformation and seepage through joints.HighlightsA mesoscopic contact constitutive model of rock fracture was established and its effectiveness was verified by experiments.Effective contact boundary problem in the contact process was revealed. Tangential stress effect of contact point was corrected.
Theoretical Hertzian contact model is used to numerically study contact area of rock joints under normal deformation, stress distribution, and spatial variation of aperture during compression. Contact points suffer from the influence of shear angle and the overlap of mutual contacts. The boundary correction contact model and tangential stress effect correction model are studied to analyze mesoscopic mechanical behavior of contact changes during joint closure. Contact area, contact force, and aperture are depicted based on modified Hertzian contact model. A single-joint loading experiments with the pressure measurement film was used to explore the local stress distribution during loading process. Experimental results are compared with numerical simulation results, and there is a good agreement between the two, which verifies the accuracy of the correction. Boundary effect of adjacent contact points truly reflects the stress distribution during joint contact closure process. The correction model is of great theoretical value for analyzing mesoscopic deformation of joints and provides a reference for actual rock mass deformation and seepage through joints. Highlights A mesoscopic contact constitutive model of rock fracture was established and its effectiveness was verified by experiments. Effective contact boundary problem in the contact process was revealed. Tangential stress effect of contact point was corrected.
Author Lu, Zhitang
Li, Jianping
Ma, Haichun
Qian, Jiazhong
Cao, Yuan
Author_xml – sequence: 1
  givenname: Haichun
  orcidid: 0000-0002-9082-8877
  surname: Ma
  fullname: Ma, Haichun
  email: mahaichun@hfut.edu.cn
  organization: School of Resources and Environmental Engineering, Hefei University of Technology, Hydraulic Fracturing and Oil-Gas Migration Development Center, Hefei University of Technology
– sequence: 2
  givenname: Yuan
  surname: Cao
  fullname: Cao, Yuan
  organization: School of Resources and Environmental Engineering, Hefei University of Technology, Hydraulic Fracturing and Oil-Gas Migration Development Center, Hefei University of Technology
– sequence: 3
  givenname: Jiazhong
  surname: Qian
  fullname: Qian, Jiazhong
  organization: School of Resources and Environmental Engineering, Hefei University of Technology
– sequence: 4
  givenname: Zhitang
  surname: Lu
  fullname: Lu, Zhitang
  organization: School of Resources and Environmental Engineering, Hefei University of Technology, Hydraulic Fracturing and Oil-Gas Migration Development Center, Hefei University of Technology
– sequence: 5
  givenname: Jianping
  surname: Li
  fullname: Li, Jianping
  organization: School of Resources and Environmental Engineering, Hefei University of Technology
BookMark eNp9kEtPAjEQxxuDiYB-AU9NPK9O231xVHygAU2Ug7em253iIrTYlgN8ehfXxJunmcz_MclvQHrWWSTknMElAyiuAkAOIgGeJpAyyJL9EemzVKRJmon3HulDwUXCc8FPyCCEJUArFmWfLN7itt5RZ-kM9YeyTVhTZ-ir05_0yTU20mfn12pFb9Eclti01hsVsO4ywQXtNo2mM1c3pmnPE_Rx3yhLx85GpeNBwdUpOTZqFfDsdw7J_P5uPp4k05eHx_H1NNG8gJhkKDKosgzNCApkgmFeVMwAU5plBjHXOCqLVI90KcrcjOoi05XiVQWoqlyLIbnoajfefW0xRLl0W2_bj1IwIcqUp4y3Lt65tHcheDRy45u18jvJQB54yo6nbHnKH55y34ZEFwqt2S7Q_1X_k_oG4wp7jg
Cites_doi 10.1016/j.ijrmms.2021.104621
10.1007/s00603-015-0821-z
10.1007/s00603-019-02034-w
10.1016/j.enggeo.2008.05.002
10.1016/j.enggeo.2018.03.010
10.1016/S1365-1609(02)00134-X
10.1007/s00603-013-0499-z
10.1016/j.epsl.2006.01.046
10.1007/s00603-022-02926-4
10.1007/BF00874483
10.1007/s00603-017-1339-3
10.1029/94JB00938
10.1029/94JB00931
10.1016/S1365-1609(03)00071-6
10.1016/j.enggeo.2019.105161
10.1029/JB091iB05p04939
10.1016/j.ijrmms.2020.104414
10.1016/j.enggeo.2022.106929
10.1016/j.ijrmms.2008.02.001
10.1016/j.ijrmms.2015.12.006
10.1115/1.4038187
10.1007/s00603-020-02275-0
10.1016/j.coal.2011.04.009
10.1016/j.enggeo.2021.106339
10.1115/1.2920588
10.1007/978-3-662-53081-8_5
10.1007/BF01261801
10.1016/j.ijrmms.2007.04.009
10.1016/S1365-1609(99)00104-5
10.1029/JB090iB07p05531
10.1103/PhysRevA.44.6320
10.1007/s00603-016-1022-0
10.1098/rspa.1984.0050
10.1016/j.jsg.2023.104869
10.1007/s00603-021-02682-x
10.1002/nag.2365
10.1029/JB094iB12p17681
10.1002/9780470987711
10.1007/s00603-023-03372-6
10.1016/j.enggeo.2021.106224
10.1115/1.4010702
10.1016/S0148-9062(98)00170-3
10.1029/JB088iB08p06501
10.1007/s00603-023-03264-9
10.1029/2012GL054143
10.1029/JB094iB12p17691
ContentType Journal Article
Copyright The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
Copyright_xml – notice: The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
DBID AAYXX
CITATION
7TN
7UA
8FD
C1K
F1W
FR3
H96
KR7
L.G
DOI 10.1007/s00603-024-04105-z
DatabaseName CrossRef
Oceanic Abstracts
Water Resources Abstracts
Technology Research Database
Environmental Sciences and Pollution Management
ASFA: Aquatic Sciences and Fisheries Abstracts
Engineering Research Database
Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources
Civil Engineering Abstracts
Aquatic Science & Fisheries Abstracts (ASFA) Professional
DatabaseTitle CrossRef
Civil Engineering Abstracts
Aquatic Science & Fisheries Abstracts (ASFA) Professional
Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources
Oceanic Abstracts
Technology Research Database
ASFA: Aquatic Sciences and Fisheries Abstracts
Engineering Research Database
Water Resources Abstracts
Environmental Sciences and Pollution Management
DatabaseTitleList Civil Engineering Abstracts

DeliveryMethod fulltext_linktorsrc
Discipline Geology
Engineering
EISSN 1434-453X
EndPage 10465
ExternalDocumentID 10_1007_s00603_024_04105_z
GrantInformation_xml – fundername: National Natural Science Foundation of China
  grantid: 41831289; 41772250; 42072276
  funderid: http://dx.doi.org/10.13039/501100001809
GroupedDBID -5A
-5G
-5~
-BR
-EM
-Y2
-~C
.86
.VR
06D
0R~
0VY
123
1N0
1SB
2.D
203
28-
29P
2J2
2JN
2JY
2KG
2KM
2LR
2P1
2VQ
2~H
30V
3V.
4.4
406
408
409
40D
40E
5QI
5VS
67M
67Z
6NX
78A
88I
8FE
8FG
8FH
8TC
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
ABDZT
ABECU
ABFTD
ABFTV
ABHLI
ABHQN
ABJCF
ABJNI
ABJOX
ABKCH
ABKTR
ABMNI
ABMQK
ABNWP
ABQBU
ABQSL
ABSXP
ABTAH
ABTEG
ABTHY
ABTKH
ABTMW
ABULA
ABUWG
ABWNU
ABXPI
ACAOD
ACBXY
ACDTI
ACGFS
ACGOD
ACHSB
ACHXU
ACIWK
ACKIV
ACKNC
ACMDZ
ACMLO
ACOKC
ACOMO
ACPIV
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
AEUYN
AEVLU
AEXYK
AFBBN
AFEXP
AFFNX
AFGCZ
AFKRA
AFLOW
AFQWF
AFRAH
AFWTZ
AFZKB
AGAYW
AGDGC
AGGDS
AGJBK
AGMZJ
AGQEE
AGQMX
AGRTI
AGWIL
AGWZB
AGYKE
AHAVH
AHBYD
AHSBF
AHYZX
AIAKS
AIGIU
AIIXL
AILAN
AITGF
AJBLW
AJRNO
AJZVZ
ALMA_UNASSIGNED_HOLDINGS
ALWAN
AMKLP
AMXSW
AMYLF
AMYQR
AOCGG
ARMRJ
ASPBG
AVWKF
AXYYD
AYJHY
AZFZN
AZQEC
B-.
BA0
BBWZM
BDATZ
BENPR
BGLVJ
BGNMA
BHPHI
BKSAR
BPHCQ
BSONS
CAG
CCPQU
COF
CS3
CSCUP
DDRTE
DL5
DNIVK
DPUIP
DU5
DWQXO
EBLON
EBS
EIOEI
EJD
ESBYG
FEDTE
FERAY
FFXSO
FIGPU
FINBP
FNLPD
FRRFC
FSGXE
FWDCC
GGCAI
GGRSB
GJIRD
GNUQQ
GNWQR
GQ6
GQ7
GQ8
GXS
H13
HCIFZ
HF~
HG5
HG6
HMJXF
HQYDN
HRMNR
HVGLF
HZ~
I-F
I09
IHE
IJ-
IKXTQ
ITM
IWAJR
IXC
IZIGR
IZQ
I~X
I~Z
J-C
J0Z
JBSCW
JCJTX
JZLTJ
KDC
KOV
KOW
L6V
L8X
LAS
LK5
LLZTM
M2P
M4Y
M7R
M7S
MA-
MK~
MM-
N2Q
N9A
NB0
NDZJH
NPVJJ
NQJWS
NU0
O9-
O93
O9G
O9I
O9J
OAM
P19
P2P
PCBAR
PF0
PQQKQ
PROAC
PT4
PT5
PTHSS
Q2X
QOK
QOS
R4E
R89
R9I
RHV
RIG
RNI
ROL
RPX
RSV
RZK
S16
S1Z
S26
S27
S28
S3B
SAP
SCK
SCLPG
SDH
SDM
SEV
SHX
SISQX
SJYHP
SNE
SNPRN
SNX
SOHCF
SOJ
SPISZ
SRMVM
SSLCW
STPWE
SZN
T13
T16
TN5
TSG
TSK
TSV
TUC
U2A
UG4
UOJIU
UTJUX
UZXMN
VC2
VFIZW
W23
W48
WH7
WK6
WK8
Y6R
YLTOR
Z45
Z5O
Z7Y
Z7Z
Z81
Z85
Z86
Z8S
Z8T
Z8U
Z8Z
ZMTXR
ZY4
~02
~EX
AAPKM
AAYXX
ABBRH
ABDBE
ABFSG
ACSTC
ADHKG
AEZWR
AFDZB
AFHIU
AFOHR
AGQPQ
AHPBZ
AHWEU
AIXLP
ATHPR
AYFIA
CITATION
PHGZM
PHGZT
7TN
7UA
8FD
ABRTQ
C1K
F1W
FR3
H96
KR7
L.G
ID FETCH-LOGICAL-c270t-5e350b55ef907e131e67b1f01ac15fee6ce9874c9c8386f9d75cba2bb0eab6c3
IEDL.DBID U2A
ISSN 0723-2632
IngestDate Fri Jul 25 19:13:35 EDT 2025
Tue Jul 01 03:35:30 EDT 2025
Fri Feb 21 02:38:49 EST 2025
IsPeerReviewed true
IsScholarly true
Issue 12
Keywords Aperture
Joint closure
Modified Hertzian contact model
Contact distribution
Pressure measurement film
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c270t-5e350b55ef907e131e67b1f01ac15fee6ce9874c9c8386f9d75cba2bb0eab6c3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0002-9082-8877
PQID 3133842412
PQPubID 60272
PageCount 19
ParticipantIDs proquest_journals_3133842412
crossref_primary_10_1007_s00603_024_04105_z
springer_journals_10_1007_s00603_024_04105_z
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 20241200
2024-12-00
20241201
PublicationDateYYYYMMDD 2024-12-01
PublicationDate_xml – month: 12
  year: 2024
  text: 20241200
PublicationDecade 2020
PublicationPlace Vienna
PublicationPlace_xml – name: Vienna
– name: Wien
PublicationTitle Rock mechanics and rock engineering
PublicationTitleAbbrev Rock Mech Rock Eng
PublicationYear 2024
Publisher Springer Vienna
Springer Nature B.V
Publisher_xml – name: Springer Vienna
– name: Springer Nature B.V
References Tang, Xia, Jiao, Wong (CR30) 2016; 83
Ghaednia, Wang, Saha, Xu, Sharma, Jackson (CR5) 2017; 69
Tang, Zhang (CR28) 2021; 54
Coli, Pranzini, Alfi, Boerio (CR4) 2008; 101
Tang, Zhang, Peng, Jiao (CR32) 2019; 258
Pyrak-Nolte, Morris (CR25) 2000; 37
Zhou, Xiong (CR48) 1996; 29
Ma, Wang, Qian, Luo, Wei (CR15) 2023; 171
Tang, Liu, Xia, Song, Huang, Wang (CR29) 2014; 47
Yasuhara, Polak, Mitani, Grader, Halleck, Elsworth (CR41) 2006; 244
Martin, Ohmae (CR18) 2008
Yoshioka (CR43) 1994; 99
Lin, Cao, Wen, Meng, Cao, Zhao (CR13) 2021; 139
Yoshioka, Scholz (CR45) 1989; 94
Scholz, Hickman (CR27) 1983; 88
Xing, Kulatilake, Sandbak (CR39) 2018; 238
Brown, Scholz (CR3) 1986; 91
Huang, Zhao, Li, Mo, Xing, Chen (CR9) 2023; 56
Kulatilake, Um (CR11) 1999; 36
Mindlin, Deresiewicz (CR21) 1953
Gischig, Preisig, Eberhardt (CR6) 2016; 49
Brown, Scholz (CR2) 1985; 90
Nolte, Pyrak-Nolte, Cook (CR23) 1989; 131
Renard, Candela, Bouchaud (CR26) 2013; 40
Von Planta, Vogler, Zulian, Saar, Krause (CR34) 2020; 133
Zou, Li, Mo, Cvetkovic (CR49) 2020; 53
Wang, Ye, Wang, Hu (CR37) 2022; 55
Xia, Yue, Tham, Lee, Sun (CR38) 2003; 40
Barton, Choubey (CR1) 1977; 10
Kim, Lee, Yazdani, Tohidi, Nejati, Park (CR10) 2018; 51
Majumdar, Bhushan (CR16) 1991
Wang, Elsworth, Liu (CR35) 2011; 87
Zangerl, Evans, Eberhardt, Loew (CR46) 2008; 45
Ma, Cao, Qian, Wang, Tan, Ma (CR14) 2023; 56
Matsuki, Wang, Giwelli, Sakaguchi (CR19) 2008; 45
Malama, Kulatilake (CR17) 2003; 40
Vogler, Amann, Bayer, Elsworth (CR33) 2016; 49
Yoshioka, Scholz (CR44) 1989; 94
Li, Zhao, Jiang, Jing (CR12) 2015; 39
Yoshioka (CR42) 1994; 99
Zhong, Xu, Yuan, Cui, Gherardi, Li (CR47) 2023; 313
Popov, Popov (CR24) 2017
Greenwood, Williamson (CR8) 1966; 295
Meng, Lifeng, Fengbiao, Gan, Yongbin (CR20) 2021; 294
Wang, Ma, Qian, Feng, Tan, Ma (CR36) 2021; 291
Yang, Wu, Xu, Xia, Yang (CR40) 2023; 56
Nolte, Pyrak-Nolte (CR22) 1991; 44
Greenwood (CR7) 1984; 393
N Coli (4105_CR4) 2008; 101
CC Xia (4105_CR38) 2003; 40
LJ Pyrak-Nolte (4105_CR25) 2000; 37
Y Yang (4105_CR40) 2023; 56
B Li (4105_CR12) 2015; 39
H Ma (4105_CR15) 2023; 171
C Von Planta (4105_CR34) 2020; 133
B Malama (4105_CR17) 2003; 40
C Zangerl (4105_CR46) 2008; 45
SR Brown (4105_CR3) 1986; 91
Q Lin (4105_CR13) 2021; 139
ZC Tang (4105_CR29) 2014; 47
K Matsuki (4105_CR19) 2008; 45
D Vogler (4105_CR33) 2016; 49
S Wang (4105_CR35) 2011; 87
CH Scholz (4105_CR27) 1983; 88
N Yoshioka (4105_CR42) 1994; 99
RD Mindlin (4105_CR21) 1953
JA Greenwood (4105_CR7) 1984; 393
ZC Tang (4105_CR30) 2016; 83
ZC Tang (4105_CR32) 2019; 258
F Renard (4105_CR26) 2013; 40
Y Xing (4105_CR39) 2018; 238
DD Nolte (4105_CR22) 1991; 44
L Huang (4105_CR9) 2023; 56
PHSW Kulatilake (4105_CR11) 1999; 36
N Yoshioka (4105_CR44) 1989; 94
H Yasuhara (4105_CR41) 2006; 244
L Zou (4105_CR49) 2020; 53
JM Martin (4105_CR18) 2008
H Ma (4105_CR14) 2023; 56
T Meng (4105_CR20) 2021; 294
C Zhong (4105_CR47) 2023; 313
HM Kim (4105_CR10) 2018; 51
J Wang (4105_CR36) 2021; 291
CB Zhou (4105_CR48) 1996; 29
ZC Tang (4105_CR28) 2021; 54
VL Popov (4105_CR24) 2017
JA Greenwood (4105_CR8) 1966; 295
N Yoshioka (4105_CR43) 1994; 99
N Yoshioka (4105_CR45) 1989; 94
H Ghaednia (4105_CR5) 2017; 69
W Wang (4105_CR37) 2022; 55
V Gischig (4105_CR6) 2016; 49
DD Nolte (4105_CR23) 1989; 131
SR Brown (4105_CR2) 1985; 90
N Barton (4105_CR1) 1977; 10
A Majumdar (4105_CR16) 1991
References_xml – volume: 295
  start-page: 300
  issue: 1442
  year: 1966
  end-page: 319
  ident: CR8
  article-title: Contact of nominally flat surfaces
  publication-title: Proc R Soc Lond A Math Phys Sci
– volume: 139
  year: 2021
  ident: CR13
  article-title: Crack coalescence in rock-like specimens with two dissimilar layers and pre-existing double parallel joints under uniaxial compression
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/j.ijrmms.2021.104621
– volume: 49
  start-page: 2457
  year: 2016
  end-page: 2478
  ident: CR6
  article-title: Numerical investigation of seismically induced rock mass fatigue as a mechanism contributing to the progressive failure of deep-seated landslides
  publication-title: Rock Mech Rock Eng
  doi: 10.1007/s00603-015-0821-z
– volume: 53
  start-page: 2141
  issue: 5
  year: 2020
  end-page: 2155
  ident: CR49
  article-title: A high-resolution contact analysis of rough-walled crystalline rock fractures subject to normal stress
  publication-title: Rock Mech Rock Eng
  doi: 10.1007/s00603-019-02034-w
– volume: 101
  start-page: 174
  issue: 3–4
  year: 2008
  end-page: 184
  ident: CR4
  article-title: Evaluation of rock-mass permeability tensor and prediction of tunnel inflows by means of geostructural surveys and finite element seepage analysis
  publication-title: Eng Geol
  doi: 10.1016/j.enggeo.2008.05.002
– volume: 238
  start-page: 62
  year: 2018
  end-page: 75
  ident: CR39
  article-title: Effect of rock mass and discontinuity mechanical properties and delayed rock supporting on tunnel stability in an underground mine
  publication-title: Eng Geol
  doi: 10.1016/j.enggeo.2018.03.010
– volume: 40
  start-page: 197
  issue: 2
  year: 2003
  end-page: 220
  ident: CR38
  article-title: Quantifying topography and closure deformation of rock joints
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/S1365-1609(02)00134-X
– volume: 47
  start-page: 2287
  year: 2014
  end-page: 2298
  ident: CR29
  article-title: Mechanical model for predicting closure behavior of rock joints under normal stress
  publication-title: Rock Mech Rock Eng
  doi: 10.1007/s00603-013-0499-z
– volume: 244
  start-page: 186
  issue: 1–2
  year: 2006
  end-page: 200
  ident: CR41
  article-title: Evolution of fracture permeability through fluid–rock reaction under hydrothermal conditions
  publication-title: Earth Planet Sci Lett
  doi: 10.1016/j.epsl.2006.01.046
– volume: 56
  start-page: 815
  issue: 1
  year: 2023
  end-page: 824
  ident: CR9
  article-title: Normal closure behavior of rock fractures considering transition from elastic deformation to fully plastic flow
  publication-title: Rock Mech Rock Eng
  doi: 10.1007/s00603-022-02926-4
– volume: 131
  start-page: 111
  year: 1989
  end-page: 138
  ident: CR23
  article-title: The fractal geometry of flow paths in natural fractures in rock and the approach to percolation
  publication-title: Pure Appl Geophys
  doi: 10.1007/BF00874483
– volume: 51
  start-page: 627
  year: 2018
  end-page: 638
  ident: CR10
  article-title: Coupled viscous fluid flow and joint deformation analysis for grout injection in a rock joint
  publication-title: Rock Mech Rock Eng
  doi: 10.1007/s00603-017-1339-3
– volume: 99
  start-page: 15549
  issue: B8
  year: 1994
  end-page: 15560
  ident: CR42
  article-title: Elastic behavior of contacting surfaces under normal loads: a computer simulation using three-dimensional surface topographies
  publication-title: J Geophys Res Solid Earth
  doi: 10.1029/94JB00938
– volume: 99
  start-page: 15561
  issue: B8
  year: 1994
  end-page: 15568
  ident: CR43
  article-title: The role of plastic deformation in normal loading and unloading cycles
  publication-title: J Geophys Res Solid Earth
  doi: 10.1029/94JB00931
– volume: 40
  start-page: 893
  issue: 6
  year: 2003
  end-page: 901
  ident: CR17
  article-title: Models for normal fracture deformation under compressive loading
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/S1365-1609(03)00071-6
– volume: 258
  year: 2019
  ident: CR32
  article-title: Experimental study on the water-weakening shear behaviors of sandstone joints collected from the middle region of Yunnan province, PR China
  publication-title: Eng Geol
  doi: 10.1016/j.enggeo.2019.105161
– volume: 91
  start-page: 4939
  issue: B5
  year: 1986
  end-page: 4948
  ident: CR3
  article-title: Closure of rock joints
  publication-title: J Geophys Res Solid Earth
  doi: 10.1029/JB091iB05p04939
– volume: 133
  year: 2020
  ident: CR34
  article-title: Contact between rough rock surfaces using a dual mortar method
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/j.ijrmms.2020.104414
– volume: 313
  year: 2023
  ident: CR47
  article-title: Coupled effects of elastic and plastic deformation on hydraulic properties of the geothermal fracture induced by cyclic loading-unloading processes
  publication-title: Eng Geol
  doi: 10.1016/j.enggeo.2022.106929
– volume: 45
  start-page: 1500
  issue: 8
  year: 2008
  end-page: 1507
  ident: CR46
  article-title: Normal stiffness of fractures in granitic rock: a compilation of laboratory and in-situ experiments
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/j.ijrmms.2008.02.001
– volume: 83
  start-page: 170
  year: 2016
  end-page: 173
  ident: CR30
  article-title: Closure model with asperity interaction in normal contact for rock joint
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/j.ijrmms.2015.12.006
– volume: 69
  issue: 6
  year: 2017
  ident: CR5
  article-title: A review of elastic–plastic contact mechanics
  publication-title: Appl Mech Rev
  doi: 10.1115/1.4038187
– volume: 54
  start-page: 477
  issue: 1
  year: 2021
  end-page: 486
  ident: CR28
  article-title: Elliptical Hertz-based general closure model for rock joints
  publication-title: Rock Mech Rock Eng
  doi: 10.1007/s00603-020-02275-0
– volume: 87
  start-page: 13
  issue: 1
  year: 2011
  end-page: 25
  ident: CR35
  article-title: Permeability evolution in fractured coal: the roles of fracture geometry and water-content
  publication-title: Int J Coal Geol
  doi: 10.1016/j.coal.2011.04.009
– volume: 294
  year: 2021
  ident: CR20
  article-title: Experimental study on permeability evolution and nonlinear seepage characteristics of fractured rock in coupled thermo-hydraulic-mechanical environment: a case study of the sedimentary rock in Xishan area
  publication-title: Eng Geol
  doi: 10.1016/j.enggeo.2021.106339
– year: 1991
  ident: CR16
  article-title: Fractal model of elastic-plastic contact between rough surfaces
  publication-title: J Tribol
  doi: 10.1115/1.2920588
– start-page: 57
  year: 2017
  end-page: 81
  ident: CR24
  article-title: Rigorous treatment of contact problems–Hertzian contact
  publication-title: Contact mechanics and friction: physical principles and applications
  doi: 10.1007/978-3-662-53081-8_5
– volume: 10
  start-page: 1
  year: 1977
  end-page: 54
  ident: CR1
  article-title: The shear strength of rock joints in theory and practice
  publication-title: Rock Mech
  doi: 10.1007/BF01261801
– volume: 45
  start-page: 194
  issue: 2
  year: 2008
  end-page: 209
  ident: CR19
  article-title: Estimation of closure of a fracture under normal stress based on aperture data
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/j.ijrmms.2007.04.009
– volume: 37
  start-page: 245
  issue: 1–2
  year: 2000
  end-page: 262
  ident: CR25
  article-title: Single fractures under normal stress: the relation between fracture specific stiffness and fluid flow
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/S1365-1609(99)00104-5
– volume: 90
  start-page: 5531
  issue: B7
  year: 1985
  end-page: 5545
  ident: CR2
  article-title: Closure of random elastic surfaces in contact
  publication-title: J Geophys Res Solid Earth
  doi: 10.1029/JB090iB07p05531
– volume: 44
  start-page: 6320
  issue: 10
  year: 1991
  ident: CR22
  article-title: Stratified continuum percolation: scaling geometry of hierarchical cascades
  publication-title: Phys Rev A
  doi: 10.1103/PhysRevA.44.6320
– volume: 49
  start-page: 3463
  year: 2016
  end-page: 3479
  ident: CR33
  article-title: Permeability evolution in natural fractures subject to cyclic loading and gouge formation
  publication-title: Rock Mech Rock Eng
  doi: 10.1007/s00603-016-1022-0
– volume: 393
  start-page: 133
  issue: 1804
  year: 1984
  end-page: 157
  ident: CR7
  article-title: A unified theory of surface roughness
  publication-title: Proc R Soc Lond A Math Phys Sci
  doi: 10.1098/rspa.1984.0050
– volume: 171
  year: 2023
  ident: CR15
  article-title: Experimental investigations of fractured rock deformation: A direct measurement method using strain gauges
  publication-title: J Struct Geol
  doi: 10.1016/j.jsg.2023.104869
– volume: 55
  start-page: 837
  year: 2022
  end-page: 853
  ident: CR37
  article-title: Experimental study on anisotropy of strength, deformation and damage evolution of contact zone composite rock with DIC and AE techniques
  publication-title: Rock Mech Rock Eng
  doi: 10.1007/s00603-021-02682-x
– volume: 39
  start-page: 1431
  issue: 13
  year: 2015
  end-page: 1449
  ident: CR12
  article-title: Contact mechanism of a rock fracture subjected to normal loading and its impact on fast closure behavior during initial stage of fluid flow experiment
  publication-title: Int J Numer Anal Meth Geomech
  doi: 10.1002/nag.2365
– volume: 94
  start-page: 17681
  issue: B12
  year: 1989
  end-page: 17690
  ident: CR45
  article-title: Elastic properties of contacting surfaces under normal and shear loads: 1. Theory
  publication-title: J Geophys Res Solid Earth
  doi: 10.1029/JB094iB12p17681
– volume: 29
  start-page: 1195
  issue: 5
  year: 1996
  end-page: 1197
  ident: CR48
  article-title: Relation between joint roughness coefficient and fractal dimension
  publication-title: J Wuhan Univ Hydraul Electr Eng
– year: 2008
  ident: CR18
  publication-title: Nanolubricants
  doi: 10.1002/9780470987711
– volume: 56
  start-page: 5719
  issue: 8
  year: 2023
  end-page: 5733
  ident: CR14
  article-title: Theoretical study of the mesoscopic mechanism of rock fractures during normal deformation
  publication-title: Rock Mech Rock Eng
  doi: 10.1007/s00603-023-03372-6
– volume: 291
  year: 2021
  ident: CR36
  article-title: Experimental and theoretical study on the seepage mechanism characteristics coupling with confining pressure
  publication-title: Eng Geol
  doi: 10.1016/j.enggeo.2021.106224
– year: 1953
  ident: CR21
  article-title: Elastic spheres in contact under varying oblique forces
  publication-title: J Appl Mech
  doi: 10.1115/1.4010702
– volume: 36
  start-page: 5
  issue: 1
  year: 1999
  end-page: 18
  ident: CR11
  article-title: Requirements for accurate quantification of self-affine roughness using the roughness–length method
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/S0148-9062(98)00170-3
– volume: 88
  start-page: 6501
  issue: B8
  year: 1983
  end-page: 6504
  ident: CR27
  article-title: Hysteresis in the closure of a nominally flat crack
  publication-title: J Res Solid Earth
  doi: 10.1029/JB088iB08p06501
– volume: 56
  start-page: 4043
  issue: 6
  year: 2023
  end-page: 4059
  ident: CR40
  article-title: A nodal-based 3D discontinuous deformation analysis method with contact potential for discrete rock block system
  publication-title: Rock Mech Rock Eng
  doi: 10.1007/s00603-023-03264-9
– volume: 40
  start-page: 83
  issue: 1
  year: 2013
  end-page: 87
  ident: CR26
  article-title: Constant dimensionality of fault roughness from the scale of micro-fractures to the scale of continents
  publication-title: Geophys Res Lett
  doi: 10.1029/2012GL054143
– volume: 94
  start-page: 17691
  issue: B12
  year: 1989
  end-page: 17700
  ident: CR44
  article-title: Elastic properties of contacting surfaces under normal and shear loads: 2. Comparison of theory with experiment
  publication-title: J Geophys Res Solid Earth
  doi: 10.1029/JB094iB12p17691
– volume: 94
  start-page: 17691
  issue: B12
  year: 1989
  ident: 4105_CR44
  publication-title: J Geophys Res Solid Earth
  doi: 10.1029/JB094iB12p17691
– volume: 56
  start-page: 5719
  issue: 8
  year: 2023
  ident: 4105_CR14
  publication-title: Rock Mech Rock Eng
  doi: 10.1007/s00603-023-03372-6
– volume: 37
  start-page: 245
  issue: 1–2
  year: 2000
  ident: 4105_CR25
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/S1365-1609(99)00104-5
– volume: 258
  year: 2019
  ident: 4105_CR32
  publication-title: Eng Geol
  doi: 10.1016/j.enggeo.2019.105161
– start-page: 57
  volume-title: Contact mechanics and friction: physical principles and applications
  year: 2017
  ident: 4105_CR24
  doi: 10.1007/978-3-662-53081-8_5
– volume: 69
  issue: 6
  year: 2017
  ident: 4105_CR5
  publication-title: Appl Mech Rev
  doi: 10.1115/1.4038187
– volume: 45
  start-page: 194
  issue: 2
  year: 2008
  ident: 4105_CR19
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/j.ijrmms.2007.04.009
– volume: 139
  year: 2021
  ident: 4105_CR13
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/j.ijrmms.2021.104621
– year: 1953
  ident: 4105_CR21
  publication-title: J Appl Mech
  doi: 10.1115/1.4010702
– volume: 83
  start-page: 170
  year: 2016
  ident: 4105_CR30
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/j.ijrmms.2015.12.006
– year: 1991
  ident: 4105_CR16
  publication-title: J Tribol
  doi: 10.1115/1.2920588
– volume-title: Nanolubricants
  year: 2008
  ident: 4105_CR18
  doi: 10.1002/9780470987711
– volume: 29
  start-page: 1195
  issue: 5
  year: 1996
  ident: 4105_CR48
  publication-title: J Wuhan Univ Hydraul Electr Eng
– volume: 171
  year: 2023
  ident: 4105_CR15
  publication-title: J Struct Geol
  doi: 10.1016/j.jsg.2023.104869
– volume: 44
  start-page: 6320
  issue: 10
  year: 1991
  ident: 4105_CR22
  publication-title: Phys Rev A
  doi: 10.1103/PhysRevA.44.6320
– volume: 313
  year: 2023
  ident: 4105_CR47
  publication-title: Eng Geol
  doi: 10.1016/j.enggeo.2022.106929
– volume: 53
  start-page: 2141
  issue: 5
  year: 2020
  ident: 4105_CR49
  publication-title: Rock Mech Rock Eng
  doi: 10.1007/s00603-019-02034-w
– volume: 54
  start-page: 477
  issue: 1
  year: 2021
  ident: 4105_CR28
  publication-title: Rock Mech Rock Eng
  doi: 10.1007/s00603-020-02275-0
– volume: 244
  start-page: 186
  issue: 1–2
  year: 2006
  ident: 4105_CR41
  publication-title: Earth Planet Sci Lett
  doi: 10.1016/j.epsl.2006.01.046
– volume: 238
  start-page: 62
  year: 2018
  ident: 4105_CR39
  publication-title: Eng Geol
  doi: 10.1016/j.enggeo.2018.03.010
– volume: 39
  start-page: 1431
  issue: 13
  year: 2015
  ident: 4105_CR12
  publication-title: Int J Numer Anal Meth Geomech
  doi: 10.1002/nag.2365
– volume: 99
  start-page: 15561
  issue: B8
  year: 1994
  ident: 4105_CR43
  publication-title: J Geophys Res Solid Earth
  doi: 10.1029/94JB00931
– volume: 294
  year: 2021
  ident: 4105_CR20
  publication-title: Eng Geol
  doi: 10.1016/j.enggeo.2021.106339
– volume: 40
  start-page: 197
  issue: 2
  year: 2003
  ident: 4105_CR38
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/S1365-1609(02)00134-X
– volume: 133
  year: 2020
  ident: 4105_CR34
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/j.ijrmms.2020.104414
– volume: 49
  start-page: 3463
  year: 2016
  ident: 4105_CR33
  publication-title: Rock Mech Rock Eng
  doi: 10.1007/s00603-016-1022-0
– volume: 45
  start-page: 1500
  issue: 8
  year: 2008
  ident: 4105_CR46
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/j.ijrmms.2008.02.001
– volume: 91
  start-page: 4939
  issue: B5
  year: 1986
  ident: 4105_CR3
  publication-title: J Geophys Res Solid Earth
  doi: 10.1029/JB091iB05p04939
– volume: 56
  start-page: 4043
  issue: 6
  year: 2023
  ident: 4105_CR40
  publication-title: Rock Mech Rock Eng
  doi: 10.1007/s00603-023-03264-9
– volume: 99
  start-page: 15549
  issue: B8
  year: 1994
  ident: 4105_CR42
  publication-title: J Geophys Res Solid Earth
  doi: 10.1029/94JB00938
– volume: 47
  start-page: 2287
  year: 2014
  ident: 4105_CR29
  publication-title: Rock Mech Rock Eng
  doi: 10.1007/s00603-013-0499-z
– volume: 36
  start-page: 5
  issue: 1
  year: 1999
  ident: 4105_CR11
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/S0148-9062(98)00170-3
– volume: 10
  start-page: 1
  year: 1977
  ident: 4105_CR1
  publication-title: Rock Mech
  doi: 10.1007/BF01261801
– volume: 88
  start-page: 6501
  issue: B8
  year: 1983
  ident: 4105_CR27
  publication-title: J Res Solid Earth
  doi: 10.1029/JB088iB08p06501
– volume: 295
  start-page: 300
  issue: 1442
  year: 1966
  ident: 4105_CR8
  publication-title: Proc R Soc Lond A Math Phys Sci
– volume: 51
  start-page: 627
  year: 2018
  ident: 4105_CR10
  publication-title: Rock Mech Rock Eng
  doi: 10.1007/s00603-017-1339-3
– volume: 90
  start-page: 5531
  issue: B7
  year: 1985
  ident: 4105_CR2
  publication-title: J Geophys Res Solid Earth
  doi: 10.1029/JB090iB07p05531
– volume: 87
  start-page: 13
  issue: 1
  year: 2011
  ident: 4105_CR35
  publication-title: Int J Coal Geol
  doi: 10.1016/j.coal.2011.04.009
– volume: 55
  start-page: 837
  year: 2022
  ident: 4105_CR37
  publication-title: Rock Mech Rock Eng
  doi: 10.1007/s00603-021-02682-x
– volume: 101
  start-page: 174
  issue: 3–4
  year: 2008
  ident: 4105_CR4
  publication-title: Eng Geol
  doi: 10.1016/j.enggeo.2008.05.002
– volume: 56
  start-page: 815
  issue: 1
  year: 2023
  ident: 4105_CR9
  publication-title: Rock Mech Rock Eng
  doi: 10.1007/s00603-022-02926-4
– volume: 393
  start-page: 133
  issue: 1804
  year: 1984
  ident: 4105_CR7
  publication-title: Proc R Soc Lond A Math Phys Sci
  doi: 10.1098/rspa.1984.0050
– volume: 40
  start-page: 893
  issue: 6
  year: 2003
  ident: 4105_CR17
  publication-title: Int J Rock Mech Min Sci
  doi: 10.1016/S1365-1609(03)00071-6
– volume: 131
  start-page: 111
  year: 1989
  ident: 4105_CR23
  publication-title: Pure Appl Geophys
  doi: 10.1007/BF00874483
– volume: 291
  year: 2021
  ident: 4105_CR36
  publication-title: Eng Geol
  doi: 10.1016/j.enggeo.2021.106224
– volume: 94
  start-page: 17681
  issue: B12
  year: 1989
  ident: 4105_CR45
  publication-title: J Geophys Res Solid Earth
  doi: 10.1029/JB094iB12p17681
– volume: 40
  start-page: 83
  issue: 1
  year: 2013
  ident: 4105_CR26
  publication-title: Geophys Res Lett
  doi: 10.1029/2012GL054143
– volume: 49
  start-page: 2457
  year: 2016
  ident: 4105_CR6
  publication-title: Rock Mech Rock Eng
  doi: 10.1007/s00603-015-0821-z
SSID ssj0014378
Score 2.401815
Snippet Theoretical Hertzian contact model is used to numerically study contact area of rock joints under normal deformation, stress distribution, and spatial...
SourceID proquest
crossref
springer
SourceType Aggregation Database
Index Database
Publisher
StartPage 10447
SubjectTerms Apertures
Boundary value problems
Civil Engineering
Compression
Constitutive models
Contact angle
Contact force
Contact pressure
Contact stresses
Deformation
Deformation analysis
Deformation effects
Deformation mechanisms
Earth and Environmental Science
Earth Sciences
Effectiveness
Geophysics/Geodesy
Mathematical models
Mechanical properties
Original Paper
Pressure measurement
Rock
Rock masses
Rocks
Seepage
Spatial variations
Stress distribution
Title Study on Mechanism of Rock Joint Normal Deformation Based on Mesoscopic Modified Hertzian Contact Model
URI https://link.springer.com/article/10.1007/s00603-024-04105-z
https://www.proquest.com/docview/3133842412
Volume 57
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV09T8MwED1BERIMiE9RKJUHNrCUxHE-xhYoFagdUCvBFDn2BUUqCaJhoL8eO01SQDAwRYodD5fL3XPu3jPAeeCbf_mWotxXkrqJ5DRUTkiFy6QfhKjCsqI7GnvDqXv3yB8rUti87navS5JlpG7IbkY6xNQcTeOERgV0sQ4b3OhJaS-eOr2mduCyZfz1HUaNGnlFlfl9je_paIUxf5RFy2wz2IWdCiaS3vK97sEaZvuw_UU8cB82b8tDeT8O4Nk0A36QPCMjNETedP5C8oQ86FBH7vI0K8jYINMZucaGq0j6On2p5TPz3HBTUklGuUoTjUnJEN-KhXYcYsSrhCzMCM4OYTK4mVwNaXWAApWObxWUI-NWzDkmeguMNrPR82M7sWwhbZ4gehLDwHdlKAMWeEmofC5j4cSxhSL2JDuCVpZneAxEBXo2Y5ILW7hCOkKhvoPILDcRsY1tuKjNGL0uZTKiRhC5NHqkjR6VRo8WbejUlo6qT2YeMbNbdjWgcNpwWVt_Nfz3aif_m34KW45xgLIlpQOt4u0dzzSwKOIubPQG_f7YXG-f7m-6pV99AgFnyTc
linkProvider Springer Nature
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV09T8MwED1BEQIGBAVEoYAHNrCUxHE-xvJZStsBtVK3yLEvqBIkiIah_fXYadICgoE1djy8nO-ec3fPAOeBb_7lW4pyX0nqJpLTUDkhFS6TfhCiCouMbq_vtYduZ8RHZVPYpKp2r1KShadeNLsZ6RCTczSFE5oV0NkqrJk0ozlyDZ3WInfgsrn_9R1GjRp52Srz-xrfw9GSY_5IixbR5m4HtkuaSFrz77oLK5jWYeuLeGAd1u-LS3mne_BsigGnJEtJD00j73jySrKEPGlXRzrZOM1J3zDTF3KDi15FcqXDl5q_M8lMb8pYkl6mxonmpKSN7_lMGw4x4lVC5mYEX_ZhcHc7uG7T8gIFKh3fyilHxq2Yc0z0ERhtZqPnx3Zi2ULaPEH0JIaB78pQBizwklD5XMbCiWMLRexJdgC1NEvxEIgK9GzGJBe2cIV0hEL9BJFZbiJiGxtwUcEYvc1lMqKFIHIBeqRBjwrQo1kDmhXSUbllJhEzp2VXEwqnAZcV-svhv1c7-t_0M9hoD3rdqPvQfzyGTccYQ1Ge0oRa_v6BJ5pk5PFpYVOf3-vJCg
linkToPdf http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LT9wwEB61i1rBoTwK6lJofeDWGpLYzuNIgWUL7KqqqERPkR9jtIImiA0H9tfXzmN5qD1UvcaOlcxM7M-Z-T4D7KSJ_5cfGCoSoym3WtDMRBmVnOkkzdBkdUZ3NI6HP_jJhbh4xOKvq927lGTDafAqTUW1d2Ps3pz45mVEfP7RF1E4hEBnL2GB-zMkerCwf_zz9GieSeCsmY2TiFGvTd4SZ_48ytPF6QFxPkuS1mvPYBlk99RNycnV7l2ldvXsmaDj_7zWCrxpgSnZbyJpFV5gsQZLj-QK1-DVcX0M8P1buPTlh_ekLMgIPXV4Mv1FSku-u8mVnJSToiJjj4WvySHO2ZHki1swTXPPtPRsmIkmo9JMrEPBZIi31cyFKvFyWVJXvgWv1-F8cHR-MKTtkQ1UR0lQUYFMBEoItG7TjSELMU5UaINQ6lBYxFhjliZcZzplaWwzkwitZKRUgFLFmm1ArygLfAfEpK43Y1rIUHKpI2nQXUFkAbdShdiHT52r8ptGmCOfSzDXdsydHfPajvmsD1udN_P2I53mzO_PuYMwUR8-d855aP77aJv_1v0jvP52OMjPvo5P38Ni5N1b18NsQa-6vcNth2oq9aEN3N8zN-8Z
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=Study+on+Mechanism+of+Rock+Joint+Normal+Deformation+Based+on+Mesoscopic+Modified+Hertzian+Contact+Model&rft.jtitle=Rock+mechanics+and+rock+engineering&rft.au=Ma%2C+Haichun&rft.au=Cao%2C+Yuan&rft.au=Qian%2C+Jiazhong&rft.au=Lu%2C+Zhitang&rft.date=2024-12-01&rft.pub=Springer+Nature+B.V&rft.issn=0723-2632&rft.eissn=1434-453X&rft.volume=57&rft.issue=12&rft.spage=10447&rft.epage=10465&rft_id=info:doi/10.1007%2Fs00603-024-04105-z&rft.externalDBID=HAS_PDF_LINK
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0723-2632&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0723-2632&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0723-2632&client=summon