Four-point combined DE/FE algorithm for brittle fracture analysis of laminated glass

A four-point combined DE/FE algorithm is proposed to constrain the rotation of a discrete element about its linked point and analyze the cracks propagation of laminated glass. In this approach, four linked points on a discrete element are combined with four nodes of the corresponding surface of a fi...

Full description

Saved in:
Bibliographic Details
Published inInternational journal of solids and structures Vol. 51; no. 10; pp. 1890 - 1900
Main Authors Xu, Wei, Zang, Mengyan
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 15.05.2014
Subjects
Online AccessGet full text
ISSN0020-7683
1879-2146
DOI10.1016/j.ijsolstr.2014.01.026

Cover

Abstract A four-point combined DE/FE algorithm is proposed to constrain the rotation of a discrete element about its linked point and analyze the cracks propagation of laminated glass. In this approach, four linked points on a discrete element are combined with four nodes of the corresponding surface of a finite element. The penalty method is implemented to calculate the interface force between the two subdomains, the finite element (FE) and the discrete element (DE) subdomains. The sequential procedure of brittle fracture is described by an extrinsic cohesive fracture model only in the DE subdomain. An averaged stress tensor for granular media, which is automatically symmetrical and invariant by translations, is used to an accurate calculation of the averaged stress of the DE. Two simple cases in the elastic range are given to certify the effectiveness of the combined algorithm and the averaged stress tensor by comparing with the finite element method and the mesh-size dependency of the combined algorithm and the cohesive model is also investigated. Finally, the impact fracture behavior of a laminated glass beam is simulated, and the cracks propagation is compared with experimental results showing that the theory in this work can be used to predict some fracture characteristics of laminated glass.
AbstractList A four-point combined DE/FE algorithm is proposed to constrain the rotation of a discrete element about its linked point and analyze the cracks propagation of laminated glass. In this approach, four linked points on a discrete element are combined with four nodes of the corresponding surface of a finite element. The penalty method is implemented to calculate the interface force between the two subdomains, the finite element (FE) and the discrete element (DE) subdomains. The sequential procedure of brittle fracture is described by an extrinsic cohesive fracture model only in the DE subdomain. An averaged stress tensor for granular media, which is automatically symmetrical and invariant by translations, is used to an accurate calculation of the averaged stress of the DE. Two simple cases in the elastic range are given to certify the effectiveness of the combined algorithm and the averaged stress tensor by comparing with the finite element method and the mesh-size dependency of the combined algorithm and the cohesive model is also investigated. Finally, the impact fracture behavior of a laminated glass beam is simulated, and the cracks propagation is compared with experimental results showing that the theory in this work can be used to predict some fracture characteristics of laminated glass.
Author Zang, Mengyan
Xu, Wei
Author_xml – sequence: 1
  givenname: Wei
  surname: Xu
  fullname: Xu, Wei
  email: xwteamobj007@gmail.com
– sequence: 2
  givenname: Mengyan
  surname: Zang
  fullname: Zang, Mengyan
  email: myzang@scut.edu.cn
BookMark eNqFkD1LBDEURYMouH78BUlpM-NLZiYzCxaK7qog2GgdkuyLZskka5IV_PeOrDY2Vu8W91x454jshxiQkDMGNQMmLta1W-foc0k1B9bWwGrgYo_M2NDPK85asU9mAByqXgzNITnKeQ0AbTOHGXlexm2qNtGFQk0ctQu4oreLi-WCKv8akytvI7UxUT3F4pHapEzZJqQqKP-ZXabRUq9GF1SZ0Fevcj4hB1b5jKc_95i8LBfPN_fV49Pdw831Y2VaxkoljOCo-QBaz1Gx1SCgB4MroVvbc0AlukZYrQE51z3XYgDoLGiltW7M3DbH5Hy3u0nxfYu5yNFlg96rgHGbJes6Bi10TExVsauaFHNOaOUmuVGlT8lAfmuUa_mrUX5rlMDkpHECL_-AxhVVXAwlKef_x692OE4ePhwmmY3DMH3pEpoiV9H9N_EFVIGW6w
CitedBy_id crossref_primary_10_3390_applmech4010010
crossref_primary_10_3390_coatings12030295
crossref_primary_10_1016_j_compstruct_2017_11_070
crossref_primary_10_1142_S0219876216500079
crossref_primary_10_1016_j_compositesb_2019_01_054
crossref_primary_10_1016_j_ijimpeng_2022_104187
crossref_primary_10_1016_j_engfracmech_2017_12_044
crossref_primary_10_1016_j_ijsolstr_2016_12_022
crossref_primary_10_1016_j_compositesb_2017_04_007
crossref_primary_10_1142_S0219876218500779
crossref_primary_10_3390_buildings12030271
crossref_primary_10_1016_j_ijimpeng_2017_07_014
crossref_primary_10_1007_s40571_019_00284_7
crossref_primary_10_1016_j_apm_2020_02_030
crossref_primary_10_1002_nag_2666
crossref_primary_10_1016_j_euromechsol_2024_105427
crossref_primary_10_1016_j_compstruct_2015_11_042
crossref_primary_10_1016_j_engfracmech_2022_108929
crossref_primary_10_1016_j_powtec_2019_10_069
crossref_primary_10_1016_j_camwa_2020_05_003
crossref_primary_10_1007_s40571_023_00668_w
crossref_primary_10_1016_j_ijimpeng_2017_10_007
crossref_primary_10_1016_j_enganabound_2021_10_017
crossref_primary_10_1680_jencm_23_00052
crossref_primary_10_1016_j_finel_2016_02_005
crossref_primary_10_1002_nme_7503
crossref_primary_10_1016_j_ijimpeng_2018_12_013
crossref_primary_10_1016_j_cma_2015_06_005
crossref_primary_10_1016_j_engfracmech_2017_10_020
crossref_primary_10_1016_j_ijimpeng_2020_103564
crossref_primary_10_1016_j_powtec_2025_120776
crossref_primary_10_15406_mojce_2017_03_00086
crossref_primary_10_1016_j_compstruct_2022_115914
crossref_primary_10_1155_2016_1468390
crossref_primary_10_1016_j_compstruct_2020_112568
crossref_primary_10_1142_S0219876218501013
crossref_primary_10_1007_s11223_019_00097_2
crossref_primary_10_1007_s00466_020_01913_2
crossref_primary_10_1016_j_compstruc_2016_08_010
crossref_primary_10_1016_j_compstruc_2017_08_011
crossref_primary_10_1016_j_engstruct_2023_116494
crossref_primary_10_1016_j_tafmec_2020_102668
crossref_primary_10_3390_buildings12070988
Cites_doi 10.1016/j.cma.2008.05.002
10.1108/02644400410510875
10.1016/j.cma.2003.12.056
10.1016/S0997-7538(03)00054-8
10.1108/02644400410519767
10.1088/0965-0393/17/3/035005
10.1002/nme.2030
10.3901/JME.2009.02.268
10.1007/s00603-007-0139-6
10.1109/ICDMA.2012.128
10.1016/j.cma.2005.10.025
10.1007/s00466-010-0502-4
10.1002/nme.1538
10.1002/(SICI)1097-0207(19990330)44:9<1267::AID-NME486>3.0.CO;2-7
10.1016/j.mechmat.2003.01.002
10.1007/s00466-004-0609-6
10.1007/s00466-007-0170-1
10.1088/0256-307X/26/12/120202
10.1142/S0219876213500515
10.3901/JME.2010.06.044
10.1002/(SICI)1097-0207(19980915)43:1<131::AID-NME447>3.0.CO;2-S
10.1002/nme.1287
ContentType Journal Article
Copyright 2014 Elsevier Ltd
Copyright_xml – notice: 2014 Elsevier Ltd
DBID 6I.
AAFTH
AAYXX
CITATION
7SR
7TB
8BQ
8FD
FR3
JG9
KR7
DOI 10.1016/j.ijsolstr.2014.01.026
DatabaseName ScienceDirect Open Access Titles
Elsevier:ScienceDirect:Open Access
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
Materials Research Database
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1879-2146
EndPage 1900
ExternalDocumentID 10_1016_j_ijsolstr_2014_01_026
S0020768314000365
GroupedDBID --K
--M
-~X
.~1
0R~
0SF
1B1
1~.
1~5
4.4
457
4G.
5GY
5VS
6I.
7-5
71M
8P~
9JN
AABNK
AACTN
AAEDT
AAEDW
AAFTH
AAFWJ
AAIAV
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AAXUO
ABFNM
ABFRF
ABJNI
ABMAC
ABVKL
ABXDB
ABYKQ
ACBEA
ACDAQ
ACGFO
ACGFS
ACIWK
ACRLP
ADBBV
ADEZE
ADTZH
AEBSH
AECPX
AEFWE
AEKER
AENEX
AEXQZ
AFKWA
AFTJW
AGUBO
AGYEJ
AHHHB
AHJVU
AIEXJ
AIKHN
AITUG
AJBFU
AJOXV
ALMA_UNASSIGNED_HOLDINGS
AMFUW
AMRAJ
AXJTR
BJAXD
BKOJK
BLXMC
CS3
DU5
E3Z
EBS
EFJIC
EFLBG
EJD
EO8
EO9
EP2
EP3
FDB
FIRID
FNPLU
FYGXN
G-Q
GBLVA
IHE
IXB
J1W
JJJVA
KOM
LY7
M24
M41
MO0
N9A
NCXOZ
O-L
O9-
OAUVE
OK1
OZT
P-8
P-9
P2P
PC.
Q38
RIG
RNS
ROL
RPZ
SDF
SDG
SDP
SES
SPC
SPCBC
SPD
SST
SSZ
T5K
TN5
TR2
XPP
ZMT
~02
~G-
29J
6TJ
AAQXK
AATTM
AAXKI
AAYWO
AAYXX
ABEFU
ABWVN
ACKIV
ACLOT
ACNNM
ACRPL
ACVFH
ADCNI
ADIYS
ADMUD
ADNMO
ADVLN
AEIPS
AEUPX
AFJKZ
AFPUW
AGHFR
AGQPQ
AI.
AIGII
AIIUN
AKBMS
AKRWK
AKYEP
ANKPU
APXCP
ASPBG
AVWKF
AZFZN
CITATION
EFKBS
FEDTE
FGOYB
G-2
HVGLF
HZ~
H~9
R2-
SET
SEW
SMS
VH1
WUQ
ZY4
~HD
7SR
7TB
8BQ
8FD
FR3
JG9
KR7
ID FETCH-LOGICAL-c411t-6c62eb280bb9ea1d86070ced6b4f720ea6536fbb0e22b72b68005f0babbb3c9f3
IEDL.DBID .~1
ISSN 0020-7683
IngestDate Mon Sep 29 05:07:27 EDT 2025
Wed Oct 01 06:27:48 EDT 2025
Thu Apr 24 22:59:31 EDT 2025
Fri Feb 23 02:27:55 EST 2024
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 10
Keywords Cohesive model
Combined algorithm
Averaged stress tensor
Discrete element method
Laminated glass
Language English
License http://www.elsevier.com/open-access/userlicense/1.0
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c411t-6c62eb280bb9ea1d86070ced6b4f720ea6536fbb0e22b72b68005f0babbb3c9f3
Notes ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
OpenAccessLink https://www.sciencedirect.com/science/article/pii/S0020768314000365
PQID 1551040516
PQPubID 23500
PageCount 11
ParticipantIDs proquest_miscellaneous_1551040516
crossref_primary_10_1016_j_ijsolstr_2014_01_026
crossref_citationtrail_10_1016_j_ijsolstr_2014_01_026
elsevier_sciencedirect_doi_10_1016_j_ijsolstr_2014_01_026
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2014-05-15
PublicationDateYYYYMMDD 2014-05-15
PublicationDate_xml – month: 05
  year: 2014
  text: 2014-05-15
  day: 15
PublicationDecade 2010
PublicationTitle International journal of solids and structures
PublicationYear 2014
Publisher Elsevier Ltd
Publisher_xml – name: Elsevier Ltd
References Tang, Xu (b0110) 2007; 24
Komodromos (b0050) 2005; 35
Lawn (b0060) 1993
Zang, Lei, Oda (b0135) 2009; 45
de Saxcé, Fortin, Millet (b0015) 2004; 36
Zhang, Tang (b0140) 2010; 27
Gao, Zang (b0030) 2013; 41
Sakai, S., Maenaka, K., Kakuda, H. et al, 2013. Optimum design of impact resistance of laminated glass plate. In: 10th World Congress on Structural and Multi-disciplinary Optimization, Orlando, Florida, USA.
Munjiza, Andrews (b0080) 1998; 43
Munjiza, Rougier, John (b0085) 2006; 66
Ortiz, Pandolfi (b0095) 1999; 44
Oñate, Rojekb (b0090) 2004; 193
Choi, Gethin (b0005) 2009; 17
Yu, Liu, Zang (b0125) 2010; 37
Gao, Zang, Xu (b0035) 2014; 11
Zienkiewicz, Taylor, Zhu (b0150) 2005
Zang, Lei, Wang (b0130) 2007; 41
Komodromos, Williams (b0055) 2004; 21
Williams, Perkins, Cook (b0115) 2004; 21
Karami, Stead (b0045) 2008; 41
Munjiza (b0075) 2004
Lewis, Gethin, Yang, Rowe (b0070) 2005; 62
Zhang, Paulino, Celes (b0145) 2007; 72
Gethin, Yang, Lewis (b0040) 2006; 195
Cundall, P., 1971. A computer model for simulating progressive largescale movements in blocky rock systems. In: Proceedings, Symposium on International Society for Rock Mechanics, vol. 1, pp. 129-136.
Shan, Ming, Liu (b0105) 2009; 26
Frenning (b0025) 2008; 197
Lei, Zang (b0065) 2010; 46
Fortin, Millet, de Saxcé (b0020) 2003; 22
Yong, P., Deck, C., Yang, J.K. et al, 2012. Modeling and validation of windscreen laminated glass behavior during fracture. In: 3rd International Conference on Digital Manufacturing and Automation, pp. 541–544.
de Saxcé (10.1016/j.ijsolstr.2014.01.026_b0015) 2004; 36
10.1016/j.ijsolstr.2014.01.026_b0100
10.1016/j.ijsolstr.2014.01.026_b0120
Ortiz (10.1016/j.ijsolstr.2014.01.026_b0095) 1999; 44
Lewis (10.1016/j.ijsolstr.2014.01.026_b0070) 2005; 62
Zhang (10.1016/j.ijsolstr.2014.01.026_b0145) 2007; 72
Oñate (10.1016/j.ijsolstr.2014.01.026_b0090) 2004; 193
Shan (10.1016/j.ijsolstr.2014.01.026_b0105) 2009; 26
Gao (10.1016/j.ijsolstr.2014.01.026_b0030) 2013; 41
Gao (10.1016/j.ijsolstr.2014.01.026_b0035) 2014; 11
Karami (10.1016/j.ijsolstr.2014.01.026_b0045) 2008; 41
Gethin (10.1016/j.ijsolstr.2014.01.026_b0040) 2006; 195
Zang (10.1016/j.ijsolstr.2014.01.026_b0130) 2007; 41
10.1016/j.ijsolstr.2014.01.026_b0010
Zang (10.1016/j.ijsolstr.2014.01.026_b0135) 2009; 45
Lei (10.1016/j.ijsolstr.2014.01.026_b0065) 2010; 46
Tang (10.1016/j.ijsolstr.2014.01.026_b0110) 2007; 24
Komodromos (10.1016/j.ijsolstr.2014.01.026_b0050) 2005; 35
Frenning (10.1016/j.ijsolstr.2014.01.026_b0025) 2008; 197
Lawn (10.1016/j.ijsolstr.2014.01.026_b0060) 1993
Zhang (10.1016/j.ijsolstr.2014.01.026_b0140) 2010; 27
Munjiza (10.1016/j.ijsolstr.2014.01.026_b0085) 2006; 66
Yu (10.1016/j.ijsolstr.2014.01.026_b0125) 2010; 37
Fortin (10.1016/j.ijsolstr.2014.01.026_b0020) 2003; 22
Munjiza (10.1016/j.ijsolstr.2014.01.026_b0075) 2004
Zienkiewicz (10.1016/j.ijsolstr.2014.01.026_b0150) 2005
Choi (10.1016/j.ijsolstr.2014.01.026_b0005) 2009; 17
Munjiza (10.1016/j.ijsolstr.2014.01.026_b0080) 1998; 43
Komodromos (10.1016/j.ijsolstr.2014.01.026_b0055) 2004; 21
Williams (10.1016/j.ijsolstr.2014.01.026_b0115) 2004; 21
References_xml – volume: 41
  start-page: 139
  year: 2013
  end-page: 144
  ident: b0030
  article-title: Simulation of impact fracture process of laminated glass beam based on cohesive model
  publication-title: J. South China Univ. Technol. Nat. Sci.
– volume: 41
  start-page: 229
  year: 2008
  end-page: 266
  ident: b0045
  article-title: Asperity degradation and damage in the direct shear test: a hybrid FEM/DEM approach
  publication-title: Rock Mech. Rock Eng.
– volume: 43
  start-page: 131
  year: 1998
  end-page: 149
  ident: b0080
  article-title: NBS contact detection algorithm for bodies of similar size
  publication-title: Int. J. Numer. Methods Eng.
– volume: 22
  start-page: 567
  year: 2003
  end-page: 582
  ident: b0020
  article-title: Construction of an averaged stress tensor for a granular medium
  publication-title: Eur. J. Mech. A/Solids
– volume: 45
  start-page: 268
  year: 2009
  end-page: 272
  ident: b0135
  article-title: Static characteristic and impact fracture behavior of automobile glass
  publication-title: J. Mech. Eng.
– volume: 21
  start-page: 431
  year: 2004
  end-page: 448
  ident: b0055
  article-title: Dynamic simulation of multiple deformable bodies using combined discrete and finite element methods
  publication-title: Eng. Comput.
– volume: 11
  year: 2014
  ident: b0035
  article-title: An approach to freely combining 3D discrete and finite element methods
  publication-title: Int. J. Comput. Methods
– volume: 193
  start-page: 3087
  year: 2004
  end-page: 3128
  ident: b0090
  article-title: Combination of discrete element and finite element methods for dynamic analysis of geomechanics problems
  publication-title: Comput. Methods Appl. Mech. Eng.
– volume: 44
  start-page: 1267
  year: 1999
  end-page: 1282
  ident: b0095
  article-title: Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis
  publication-title: Int. J. Numer. Methods Eng.
– volume: 37
  start-page: 126
  year: 2010
  end-page: 129
  ident: b0125
  article-title: Impacting response emulation of front windshield based on DEM/FEM coupling
  publication-title: J. Hunan Univ. Nat. Sci.
– year: 2005
  ident: b0150
  article-title: The Finite Element Method: Its Basis and Fundamentals
– volume: 36
  start-page: 1175
  year: 2004
  end-page: 1184
  ident: b0015
  article-title: About the numerical simulation of the dynamics of granular media and the definition of the mean stress tensor
  publication-title: Mech. Mater.
– reference: Yong, P., Deck, C., Yang, J.K. et al, 2012. Modeling and validation of windscreen laminated glass behavior during fracture. In: 3rd International Conference on Digital Manufacturing and Automation, pp. 541–544.
– volume: 41
  start-page: 73
  year: 2007
  end-page: 83
  ident: b0130
  article-title: Investigation of impact fracture behavior of automobile laminated glass by 3D discrete element method
  publication-title: Comput. Mech.
– volume: 17
  start-page: 035005
  year: 2009
  ident: b0005
  article-title: A discrete finite element modelling and measurements for powder compaction
  publication-title: Model. Simul. Mater. Sci. Eng.
– volume: 72
  start-page: 893
  year: 2007
  end-page: 923
  ident: b0145
  article-title: Extrinsic cohesive modelling of dynamic fracture and microbranching instability in brittle materials
  publication-title: Int. J. Numer. Methods Eng.
– volume: 26
  start-page: 120202
  year: 2009
  ident: b0105
  article-title: New discrete element models for three-dimensional impact problems
  publication-title: Chin. Phys. Lett.
– volume: 62
  start-page: 853
  year: 2005
  end-page: 869
  ident: b0070
  article-title: A combined finite-discrete element method for simulating pharmaceutical powder tableting
  publication-title: Int. J. Numer. Methods Eng.
– volume: 66
  start-page: 46
  year: 2006
  end-page: 71
  ident: b0085
  article-title: MR linear contact detection algorithm
  publication-title: Int. J. Numer. Methods Eng.
– reference: Cundall, P., 1971. A computer model for simulating progressive largescale movements in blocky rock systems. In: Proceedings, Symposium on International Society for Rock Mechanics, vol. 1, pp. 129-136.
– volume: 197
  start-page: 4266
  year: 2008
  end-page: 4272
  ident: b0025
  article-title: An efficient finite/discrete element procedure for simulating compression of 3D particle assemblies
  publication-title: Comput. Methods Appl. Mech. Eng.
– year: 1993
  ident: b0060
  article-title: Fracture of Brittle Solids
– year: 2004
  ident: b0075
  article-title: The Combined Finite-discrete Element Method
– volume: 195
  start-page: 5552
  year: 2006
  end-page: 5565
  ident: b0040
  article-title: A two dimensional combined discrete and finite element scheme for simulating the flow and compaction of systems comprising irregular particulates
  publication-title: Comput. Methods Appl. Mech. Eng.
– volume: 35
  start-page: 305
  year: 2005
  end-page: 313
  ident: b0050
  article-title: A simplified updated lagrangian approach for combining discrete and finite element methods
  publication-title: Comput. Mech.
– reference: Sakai, S., Maenaka, K., Kakuda, H. et al, 2013. Optimum design of impact resistance of laminated glass plate. In: 10th World Congress on Structural and Multi-disciplinary Optimization, Orlando, Florida, USA.
– volume: 21
  start-page: 235
  year: 2004
  end-page: 248
  ident: b0115
  article-title: A contact algorithm for partitioning N arbitrary sized objects
  publication-title: Eng. Comput.
– volume: 24
  start-page: 591
  year: 2007
  end-page: 596
  ident: b0110
  article-title: A combined discrete/cylindrical shell finite element multiscale method and its application
  publication-title: Chin. J. Comput. Mech.
– volume: 46
  start-page: 609
  year: 2010
  end-page: 619
  ident: b0065
  article-title: An approach to combining 3D discrete and finite element methods based on penalty function method
  publication-title: Comput. Mech.
– volume: 27
  start-page: 44
  year: 2010
  end-page: 50
  ident: b0140
  article-title: A multiscale method of time and space by coupling three-dimensional DEM and cylindrical shell FEM
  publication-title: Eng. Mech.
– volume: 197
  start-page: 4266
  issue: 49–50
  year: 2008
  ident: 10.1016/j.ijsolstr.2014.01.026_b0025
  article-title: An efficient finite/discrete element procedure for simulating compression of 3D particle assemblies
  publication-title: Comput. Methods Appl. Mech. Eng.
  doi: 10.1016/j.cma.2008.05.002
– volume: 21
  start-page: 431
  issue: 2–4
  year: 2004
  ident: 10.1016/j.ijsolstr.2014.01.026_b0055
  article-title: Dynamic simulation of multiple deformable bodies using combined discrete and finite element methods
  publication-title: Eng. Comput.
  doi: 10.1108/02644400410510875
– volume: 193
  start-page: 3087
  issue: 27–29
  year: 2004
  ident: 10.1016/j.ijsolstr.2014.01.026_b0090
  article-title: Combination of discrete element and finite element methods for dynamic analysis of geomechanics problems
  publication-title: Comput. Methods Appl. Mech. Eng.
  doi: 10.1016/j.cma.2003.12.056
– volume: 22
  start-page: 567
  issue: 4
  year: 2003
  ident: 10.1016/j.ijsolstr.2014.01.026_b0020
  article-title: Construction of an averaged stress tensor for a granular medium
  publication-title: Eur. J. Mech. A/Solids
  doi: 10.1016/S0997-7538(03)00054-8
– volume: 21
  start-page: 235
  issue: 2–4
  year: 2004
  ident: 10.1016/j.ijsolstr.2014.01.026_b0115
  article-title: A contact algorithm for partitioning N arbitrary sized objects
  publication-title: Eng. Comput.
  doi: 10.1108/02644400410519767
– volume: 17
  start-page: 035005
  issue: 3
  year: 2009
  ident: 10.1016/j.ijsolstr.2014.01.026_b0005
  article-title: A discrete finite element modelling and measurements for powder compaction
  publication-title: Model. Simul. Mater. Sci. Eng.
  doi: 10.1088/0965-0393/17/3/035005
– volume: 72
  start-page: 893
  year: 2007
  ident: 10.1016/j.ijsolstr.2014.01.026_b0145
  article-title: Extrinsic cohesive modelling of dynamic fracture and microbranching instability in brittle materials
  publication-title: Int. J. Numer. Methods Eng.
  doi: 10.1002/nme.2030
– year: 2004
  ident: 10.1016/j.ijsolstr.2014.01.026_b0075
– volume: 45
  start-page: 268
  issue: 2
  year: 2009
  ident: 10.1016/j.ijsolstr.2014.01.026_b0135
  article-title: Static characteristic and impact fracture behavior of automobile glass
  publication-title: J. Mech. Eng.
  doi: 10.3901/JME.2009.02.268
– volume: 41
  start-page: 229
  issue: 2
  year: 2008
  ident: 10.1016/j.ijsolstr.2014.01.026_b0045
  article-title: Asperity degradation and damage in the direct shear test: a hybrid FEM/DEM approach
  publication-title: Rock Mech. Rock Eng.
  doi: 10.1007/s00603-007-0139-6
– ident: 10.1016/j.ijsolstr.2014.01.026_b0120
  doi: 10.1109/ICDMA.2012.128
– year: 1993
  ident: 10.1016/j.ijsolstr.2014.01.026_b0060
– volume: 195
  start-page: 5552
  issue: 41–43
  year: 2006
  ident: 10.1016/j.ijsolstr.2014.01.026_b0040
  article-title: A two dimensional combined discrete and finite element scheme for simulating the flow and compaction of systems comprising irregular particulates
  publication-title: Comput. Methods Appl. Mech. Eng.
  doi: 10.1016/j.cma.2005.10.025
– volume: 46
  start-page: 609
  issue: 4
  year: 2010
  ident: 10.1016/j.ijsolstr.2014.01.026_b0065
  article-title: An approach to combining 3D discrete and finite element methods based on penalty function method
  publication-title: Comput. Mech.
  doi: 10.1007/s00466-010-0502-4
– volume: 66
  start-page: 46
  issue: 1
  year: 2006
  ident: 10.1016/j.ijsolstr.2014.01.026_b0085
  article-title: MR linear contact detection algorithm
  publication-title: Int. J. Numer. Methods Eng.
  doi: 10.1002/nme.1538
– volume: 44
  start-page: 1267
  year: 1999
  ident: 10.1016/j.ijsolstr.2014.01.026_b0095
  article-title: Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis
  publication-title: Int. J. Numer. Methods Eng.
  doi: 10.1002/(SICI)1097-0207(19990330)44:9<1267::AID-NME486>3.0.CO;2-7
– volume: 36
  start-page: 1175
  year: 2004
  ident: 10.1016/j.ijsolstr.2014.01.026_b0015
  article-title: About the numerical simulation of the dynamics of granular media and the definition of the mean stress tensor
  publication-title: Mech. Mater.
  doi: 10.1016/j.mechmat.2003.01.002
– volume: 35
  start-page: 305
  issue: 4
  year: 2005
  ident: 10.1016/j.ijsolstr.2014.01.026_b0050
  article-title: A simplified updated lagrangian approach for combining discrete and finite element methods
  publication-title: Comput. Mech.
  doi: 10.1007/s00466-004-0609-6
– volume: 41
  start-page: 73
  issue: 1
  year: 2007
  ident: 10.1016/j.ijsolstr.2014.01.026_b0130
  article-title: Investigation of impact fracture behavior of automobile laminated glass by 3D discrete element method
  publication-title: Comput. Mech.
  doi: 10.1007/s00466-007-0170-1
– ident: 10.1016/j.ijsolstr.2014.01.026_b0010
– volume: 41
  start-page: 139
  issue: 5
  year: 2013
  ident: 10.1016/j.ijsolstr.2014.01.026_b0030
  article-title: Simulation of impact fracture process of laminated glass beam based on cohesive model
  publication-title: J. South China Univ. Technol. Nat. Sci.
– volume: 26
  start-page: 120202
  year: 2009
  ident: 10.1016/j.ijsolstr.2014.01.026_b0105
  article-title: New discrete element models for three-dimensional impact problems
  publication-title: Chin. Phys. Lett.
  doi: 10.1088/0256-307X/26/12/120202
– ident: 10.1016/j.ijsolstr.2014.01.026_b0100
– volume: 11
  issue: 1
  year: 2014
  ident: 10.1016/j.ijsolstr.2014.01.026_b0035
  article-title: An approach to freely combining 3D discrete and finite element methods
  publication-title: Int. J. Comput. Methods
  doi: 10.1142/S0219876213500515
– volume: 27
  start-page: 44
  issue: 4
  year: 2010
  ident: 10.1016/j.ijsolstr.2014.01.026_b0140
  article-title: A multiscale method of time and space by coupling three-dimensional DEM and cylindrical shell FEM
  publication-title: Eng. Mech.
  doi: 10.3901/JME.2010.06.044
– volume: 43
  start-page: 131
  issue: 1
  year: 1998
  ident: 10.1016/j.ijsolstr.2014.01.026_b0080
  article-title: NBS contact detection algorithm for bodies of similar size
  publication-title: Int. J. Numer. Methods Eng.
  doi: 10.1002/(SICI)1097-0207(19980915)43:1<131::AID-NME447>3.0.CO;2-S
– volume: 37
  start-page: 126
  issue: 12
  year: 2010
  ident: 10.1016/j.ijsolstr.2014.01.026_b0125
  article-title: Impacting response emulation of front windshield based on DEM/FEM coupling
  publication-title: J. Hunan Univ. Nat. Sci.
– volume: 62
  start-page: 853
  issue: 7
  year: 2005
  ident: 10.1016/j.ijsolstr.2014.01.026_b0070
  article-title: A combined finite-discrete element method for simulating pharmaceutical powder tableting
  publication-title: Int. J. Numer. Methods Eng.
  doi: 10.1002/nme.1287
– year: 2005
  ident: 10.1016/j.ijsolstr.2014.01.026_b0150
– volume: 24
  start-page: 591
  issue: 5
  year: 2007
  ident: 10.1016/j.ijsolstr.2014.01.026_b0110
  article-title: A combined discrete/cylindrical shell finite element multiscale method and its application
  publication-title: Chin. J. Comput. Mech.
SSID ssj0004390
Score 2.3331041
Snippet A four-point combined DE/FE algorithm is proposed to constrain the rotation of a discrete element about its linked point and analyze the cracks propagation of...
SourceID proquest
crossref
elsevier
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 1890
SubjectTerms Algorithms
Averaged stress tensor
Cohesive model
Combined algorithm
Computer simulation
Crack propagation
Discrete element method
Finite element method
Fracture mechanics
Glass
Laminated glass
Mathematical analysis
Mathematical models
Title Four-point combined DE/FE algorithm for brittle fracture analysis of laminated glass
URI https://dx.doi.org/10.1016/j.ijsolstr.2014.01.026
https://www.proquest.com/docview/1551040516
Volume 51
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVESC
  databaseName: Baden-Württemberg Complete Freedom Collection (Elsevier)
  customDbUrl:
  eissn: 1879-2146
  dateEnd: 99991231
  omitProxy: true
  ssIdentifier: ssj0004390
  issn: 0020-7683
  databaseCode: GBLVA
  dateStart: 20110101
  isFulltext: true
  titleUrlDefault: https://www.sciencedirect.com
  providerName: Elsevier
– providerCode: PRVESC
  databaseName: Elsevier ScienceDirect Freedom Collection Journals
  customDbUrl:
  eissn: 1879-2146
  dateEnd: 20231015
  omitProxy: true
  ssIdentifier: ssj0004390
  issn: 0020-7683
  databaseCode: ACRLP
  dateStart: 20051001
  isFulltext: true
  titleUrlDefault: https://www.sciencedirect.com
  providerName: Elsevier
– providerCode: PRVESC
  databaseName: Elsevier ScienceDirect Open Access Journals
  customDbUrl:
  eissn: 1879-2146
  dateEnd: 20231102
  omitProxy: true
  ssIdentifier: ssj0004390
  issn: 0020-7683
  databaseCode: IXB
  dateStart: 20051001
  isFulltext: true
  titleUrlDefault: https://www.sciencedirect.com
  providerName: Elsevier
– providerCode: PRVESC
  databaseName: Elsevier SD Freedom Collection Journals [SCFCJ]
  customDbUrl:
  eissn: 1879-2146
  dateEnd: 20231015
  omitProxy: true
  ssIdentifier: ssj0004390
  issn: 0020-7683
  databaseCode: AIKHN
  dateStart: 20051001
  isFulltext: true
  titleUrlDefault: https://www.sciencedirect.com
  providerName: Elsevier
– providerCode: PRVESC
  databaseName: ScienceDirect (Elsevier)
  customDbUrl:
  eissn: 1879-2146
  dateEnd: 99991231
  omitProxy: true
  ssIdentifier: ssj0004390
  issn: 0020-7683
  databaseCode: .~1
  dateStart: 19950101
  isFulltext: true
  titleUrlDefault: https://www.sciencedirect.com
  providerName: Elsevier
– providerCode: PRVLSH
  databaseName: Elsevier Journals
  customDbUrl:
  mediaType: online
  eissn: 1879-2146
  dateEnd: 99991231
  omitProxy: true
  ssIdentifier: ssj0004390
  issn: 0020-7683
  databaseCode: AKRWK
  dateStart: 19650101
  isFulltext: true
  providerName: Library Specific Holdings
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LT4QwEG6MXvRgfMZ3auKVBUpb4Ljqkl2Nntxkbw0DRdkobHbZq7_dKQ9fidmDN1paAtPp9Bs685WQK2ChDESWWIL7icW1k1px6KUWVjLt-k4q6yCah0c5HPO7iZiskZsuF8aEVba2v7HptbVua-xWmvYsz02OLzPbSB66CIZVxSSac-6bUwx6719hHrjgNmko6CaZ1t-yhKe9fIoDvKgML6jLG_pO-dcC9ctU1-tPtEO2W-BI-8277ZI1XeyRrW90gvvkKcJG1qzMi4ri96DPq1N6O7CjAY1fn8t5Xr28UQSpFPASdYRmJkVqOdc0bqlJaJlRVJG8QASa0hpZH5BxNHi6GVrtqQlWwl23smQiGbrLgQMQ6thNA4mzGqUpgWc-c3QshSczAEczBj4DiZBRZA7EAOAlYeYdkvWiLPQRoeZ3h8T7WmQx1xJCAYHDEpzzPAlABMdEdKJSSUspbk62eFVd7NhUdSJWRsTKcRWK-JjYn_1mDanGyh5hNxLqh3ootPwr-152Q6dw7pgNkbjQ5XKhDFxEIyZcefKP55-STVMyIQWuOCPr1XypzxGpVHBRq-IF2eiP7oePWBpNrj8AsY3q4g
linkProvider Elsevier
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV07T8MwELZKGYAB8RRvjMSaNnFsJxkRtCrPqZW6WbnEgVQlqUq68ts55wEFCTGwRX5Eyfl8_s6--0zIJbBA-iKJLMG9yOLajq0wcGMLC5l2PDuWZRDN45McjPjdWIxb5LrJhTFhlbXtr2x6aa3rkm4tze4sTU2OLzPHSC66CIZVRayQVS6YZzywzvtXnAeuuFUeCvpJpvlSmvCkk05whN8KQwzq8Iq_U_62Qv2w1eUC1N8imzVypFfVx22Tls52yMYSn-AuGfaxkTXL06yg-EPo9OqY3vS6_R4Np8_5PC1eXimiVAr4iEpCE5MjtZhrGtbcJDRPKOpImiEEjWkJrffIqN8bXg-s-toEK-KOU1gykgz9Zd8GCHToxL7EaY3ilMATj9k6lMKVCYCtGQOPgUTMKBIbQgBwoyBx90k7yzN9QKjZ75BYr0USci0hEODbLMJJzyMfhH9IRCMqFdWc4uZqi6lqgscmqhGxMiJWtqNQxIek-9lvVrFq_NkjaEZCfdMPhab_z74XzdApnDzmRCTMdL54UwYvohUTjjz6x_vPydpg-PigHm6f7o_Juqkx8QWOOCHtYr7QpwhbCjgr1fIDqUXrcw
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=Four-point+combined+DE%2FFE+algorithm+for+brittle+fracture+analysis+of+laminated+glass&rft.jtitle=International+journal+of+solids+and+structures&rft.au=Xu%2C+Wei&rft.au=Zang%2C+Mengyan&rft.date=2014-05-15&rft.issn=0020-7683&rft.volume=51&rft.issue=10&rft.spage=1890&rft.epage=1900&rft_id=info:doi/10.1016%2Fj.ijsolstr.2014.01.026&rft.externalDBID=NO_FULL_TEXT
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0020-7683&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0020-7683&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0020-7683&client=summon