On dynamical fracture mechanics in the case of polyharmonic loading by P-waves

We will solve a fracture-mechanics problem for an elastic material with cracks subject to a polyharmonic load created by longitudinal waves with different wavelengths propagating through the material. The frictionless contact between the edges of a finite-length plane crack under the action of two n...

Full description

Saved in:
Bibliographic Details
Published inInternational applied mechanics Vol. 45; no. 9; pp. 1033 - 1039
Main Authors Guz, A. N., Zozulya, V. V.
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.09.2009
Subjects
Online AccessGet full text
ISSN1063-7095
1573-8582
DOI10.1007/s10778-010-0244-1

Cover

Loading…
Abstract We will solve a fracture-mechanics problem for an elastic material with cracks subject to a polyharmonic load created by longitudinal waves with different wavelengths propagating through the material. The frictionless contact between the edges of a finite-length plane crack under the action of two normal harmonic tension/compression waves with different frequencies is studied. The forces of contact interaction and displacement discontinuity are analyzed. The effect of the wave frequency on the stress intensity factor is examined for different normalized wave numbers
AbstractList We will solve a fracture-mechanics problem for an elastic material with cracks subject to a polyharmonic load created by longitudinal waves with different wavelengths propagating through the material. The frictionless contact between the edges of a finite-length plane crack under the action of two normal harmonic tension/compression waves with different frequencies is studied. The forces of contact interaction and displacement discontinuity are analyzed. The effect of the wave frequency on the stress intensity factor is examined for different normalized wave numbers
Author Guz, A. N.
Zozulya, V. V.
Author_xml – sequence: 1
  givenname: A. N.
  surname: Guz
  fullname: Guz, A. N.
  email: guz@carrier.kiev.ua
  organization: S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine
– sequence: 2
  givenname: V. V.
  surname: Zozulya
  fullname: Zozulya, V. V.
  organization: Centro de Investigacion Cientifica de Yucatan
BookMark eNp9kD1PwzAQQC1UJFrgB7B5YzL4I4mdEVV8SRVlgNk6O07rKrGLnYL670lVJoZOd9K9d8OboUmIwSF0w-gdo1TeZ0alVIQySigvCsLO0JSVUhBVKj4Zd1oJImldXqBZzhtKaS1lPUVvy4CbfYDeW-hwm8AOu-Rw7-wagrcZ-4CHtcMWssOxxdvY7deQ-jgecReh8WGFzR6_kx_4dvkKnbfQZXf9Ny_R59Pjx_yFLJbPr_OHBbGC04FwZxpRWwOu5k4aJVsogJdN1bRQq8ooUVDaNMaWypZgVSUq2VpjKtO0TCgrLtHt8e82xa-dy4Pufbau6yC4uMu65pXgqizYSMojaVPMOblWWz_A4GMYEvhOM6oPAfUxoB4D6kNAfTDZP3ObfA9pf9LhRyePbFi5pDdxl8KY4oT0Cwiihek
CitedBy_id crossref_primary_10_1007_s10778_010_0288_2
crossref_primary_10_1007_s10778_019_00960_4
crossref_primary_10_1007_s00419_010_0481_0
Cites_doi 10.1007/s10778-007-0082-y
10.1007/BF00847122
10.1007/s10778-007-0058-y
10.1007/s10778-007-0105-8
10.1023/A:1021266113662
ContentType Journal Article
Copyright Springer Science+Business Media, Inc. 2009
Copyright_xml – notice: Springer Science+Business Media, Inc. 2009
DBID AAYXX
CITATION
7TB
8FD
FR3
KR7
DOI 10.1007/s10778-010-0244-1
DatabaseName CrossRef
Mechanical & Transportation Engineering Abstracts
Technology Research Database
Engineering Research Database
Civil Engineering Abstracts
DatabaseTitle CrossRef
Civil Engineering Abstracts
Engineering Research Database
Technology Research Database
Mechanical & Transportation Engineering Abstracts
DatabaseTitleList
Civil Engineering Abstracts
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
Physics
EISSN 1573-8582
EndPage 1039
ExternalDocumentID 10_1007_s10778_010_0244_1
GroupedDBID -54
-5F
-5G
-BR
-EM
-Y2
-~C
-~X
.4S
.86
.DC
.VR
06D
0R~
0VY
1N0
1SB
2.D
28-
29J
29~
2J2
2JN
2JY
2KG
2KM
2LR
2P1
2VQ
2~H
30V
4.4
406
408
409
40D
40E
5GY
5QI
5VS
642
67Z
6NX
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
ABDBF
ABDZT
ABECU
ABFTV
ABHLI
ABHQN
ABJNI
ABJOX
ABKCH
ABKTR
ABMNI
ABMQK
ABNWP
ABQBU
ABQSL
ABSXP
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
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
AIAKS
AIGIU
AIIXL
AILAN
AITGF
AJBLW
AJRNO
ALMA_UNASSIGNED_HOLDINGS
ALWAN
AMKLP
AMXSW
AMYLF
AMYQR
AOCGG
ARCSS
ARMRJ
ASPBG
AVWKF
AXYYD
AZFZN
B-.
B0M
BA0
BBWZM
BDATZ
BGNMA
BSONS
CAG
COF
CS3
CSCUP
DDRTE
DL5
DNIVK
DPUIP
EAD
EAP
EBLON
EBS
EDO
EIOEI
EJD
EMK
ESBYG
ESX
FEDTE
FERAY
FFXSO
FIGPU
FINBP
FNLPD
FRRFC
FSGXE
FWDCC
GGCAI
GGRSB
GJIRD
GNWQR
GPTSA
GQ6
GQ7
GQ8
GXS
H13
HF~
HG6
HMJXF
HQYDN
HRMNR
HVGLF
HZ~
I-F
IAO
IHE
IJ-
IKXTQ
ITC
IWAJR
IXC
IXD
IXE
IZIGR
IZQ
I~X
I~Z
J-C
JBSCW
JCJTX
JZLTJ
KDC
KOV
KOW
LAK
LLZTM
M4Y
MA-
N2Q
N9A
NB0
NDZJH
NPVJJ
NQJWS
NU0
O9-
O93
O9G
O9I
O9J
OAM
OVD
P19
P9T
PF0
PT4
PT5
QOK
QOS
R89
R9I
RHV
RNI
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
TSG
TSK
TSV
TUC
TUS
U2A
UG4
UOJIU
UTJUX
UZXMN
VC2
VFIZW
W23
W48
WK8
XU3
YLTOR
Z7R
Z7S
Z8M
Z8N
ZMTXR
~8M
~A9
~EX
AAPKM
AAYXX
ABBRH
ABDBE
ABFSG
ACSTC
AEZWR
AFDZB
AFHIU
AFOHR
AGQPQ
AHPBZ
AHWEU
AIXLP
ATHPR
CITATION
7TB
8FD
FR3
KR7
ID FETCH-LOGICAL-c320t-2ebd39cbae92e7b87fa4a25d6dfa986b83400ddbc58c5ac86367fcbb6bdf138c3
IEDL.DBID U2A
ISSN 1063-7095
IngestDate Fri Jul 11 04:33:29 EDT 2025
Tue Jul 01 00:20:50 EDT 2025
Thu Apr 24 23:07:26 EDT 2025
Fri Feb 21 02:36:53 EST 2025
IsPeerReviewed true
IsScholarly true
Issue 9
Keywords harmonic wave
crack
contact interaction
boundary integral equation
stress intensity factor
fracture
Language English
License http://www.springer.com/tdm
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c320t-2ebd39cbae92e7b87fa4a25d6dfa986b83400ddbc58c5ac86367fcbb6bdf138c3
Notes ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
PQID 926328541
PQPubID 23500
PageCount 7
ParticipantIDs proquest_miscellaneous_926328541
crossref_citationtrail_10_1007_s10778_010_0244_1
crossref_primary_10_1007_s10778_010_0244_1
springer_journals_10_1007_s10778_010_0244_1
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 20090900
2009-9-00
20090901
PublicationDateYYYYMMDD 2009-09-01
PublicationDate_xml – month: 9
  year: 2009
  text: 20090900
PublicationDecade 2000
PublicationPlace Boston
PublicationPlace_xml – name: Boston
PublicationTitle International applied mechanics
PublicationTitleAbbrev Int Appl Mech
PublicationYear 2009
Publisher Springer US
Publisher_xml – name: Springer US
References Men’shykov, Guz (CR12) 2007; 43
Parton, Boriskovskii (CR5) 1985
Zozulya (CR15) 2007; 43
Zozulya (CR16) 2007; 43
Guz, Zozulya (CR3) 1993
Guz, Zozulya (CR11) 2002; 38
Aliabadi (CR7) 1995
Kit, Poberezhnyi (CR4) 1992
Zozulya (CR13) 1991; 27
Sih (CR8) 1977
Zozulya (CR14) 2006; 4
Guz, Zozulya (CR2) 1991; 321
Guz, Zozulya (CR1) 1991; 318
Guz, Zozulya (CR9) 1992; 28
Parton, Boriskovskii (CR6) 1988
Guz, Zozulya (CR10) 2001; 2
VV Zozulya (244_CR15) 2007; 43
GS Kit (244_CR4) 1992
VZ Parton (244_CR5) 1985
AN Guz (244_CR1) 1991; 318
VV Zozulya (244_CR13) 1991; 27
MH Aliabadi (244_CR7) 1995
AN Guz (244_CR2) 1991; 321
AN Guz (244_CR3) 1993
(244_CR8) 1977
AN Guz (244_CR10) 2001; 2
VV Zozulya (244_CR14) 2006; 4
AN Guz (244_CR11) 2002; 38
OV Men’shykov (244_CR12) 2007; 43
VV Zozulya (244_CR16) 2007; 43
VZ Parton (244_CR6) 1988
AN Guz (244_CR9) 1992; 28
References_xml – year: 1985
  ident: CR5
  publication-title: Dynamic Fracture Mechanics
– volume: 4
  start-page: 58
  issue: 2
  year: 2006
  end-page: 67
  ident: CR14
  article-title: Regularization of the divergent integrals. II. Application in fracture mechanics
  publication-title: Electron. J. Bound. Elem.
– volume: 318
  start-page: 304
  issue: 2
  year: 1991
  end-page: 307
  ident: CR1
  article-title: Dynamic problem for a plane with a cut: Allowing for the interaction of its edges
  publication-title: DAN SSSR
– year: 1995
  ident: CR7
  publication-title: Dynamic Fracture Mechanics
– volume: 2
  start-page: 173
  issue: 3
  year: 2001
  end-page: 233
  ident: CR10
  article-title: Fracture dynamics with allowance for a crack edges contact interaction
  publication-title: Int. J. Nonlin. Sci. Numer. Simul.
– year: 1992
  ident: CR4
  publication-title: Nonstationary Processes in Bodies with Cracks-Type Defects
– volume: 43
  start-page: 809
  issue: 7
  year: 2007
  end-page: 815
  ident: CR12
  article-title: Effect of contact interaction of the crack faces for a crack under harmonic loading
  publication-title: Int. Appl. Mech.
  doi: 10.1007/s10778-007-0082-y
– volume: 28
  start-page: 407
  issue: 7
  year: 1992
  end-page: 414
  ident: CR9
  article-title: Contact interaction between crack edges under a dynamic load
  publication-title: Int. Appl. Mech.
  doi: 10.1007/BF00847122
– volume: 43
  start-page: 586
  issue: 5
  year: 2007
  end-page: 590
  ident: CR15
  article-title: Contact problems for a plane crack under a normally incident antiplane shear wave
  publication-title: Int. Appl. Mech.
  doi: 10.1007/s10778-007-0058-y
– year: 1977
  ident: CR8
  publication-title: Elastodynamic Crack Problems
– year: 1993
  ident: CR3
  publication-title: Brittle Fracture of Materials under Dynamic Loads, Vol. 4 of the four-volume five book series Nonclassical Problems of Fracture Mechanics
– volume: 43
  start-page: 1043
  issue: 9
  year: 2007
  end-page: 1047
  ident: CR16
  article-title: Stress intensity factor in a contact problem for a plane crack under an antiplane shear wave
  publication-title: Int. Appl. Mech.
  doi: 10.1007/s10778-007-0105-8
– year: 1988
  ident: CR6
  publication-title: Dynamics of Brittle Fracture
– volume: 38
  start-page: 895
  issue: 8
  year: 2002
  end-page: 932
  ident: CR11
  article-title: Elastodynamic unilateral contact problems with friction for bodies with cracks
  publication-title: Int. Appl. Mech.
  doi: 10.1023/A:1021266113662
– volume: 321
  start-page: 278
  issue: 2
  year: 1991
  end-page: 280
  ident: CR2
  article-title: Dynamic contact problem for a plane with two cracks
  publication-title: DAN SSSR
– volume: 27
  start-page: 1191
  issue: 12
  year: 1991
  end-page: 1195
  ident: CR13
  article-title: Investigation of the contact of edges of cracks interacting with a plane longitudinal harmonic wave
  publication-title: Int. Appl. Mech.
– volume: 321
  start-page: 278
  issue: 2
  year: 1991
  ident: 244_CR2
  publication-title: DAN SSSR
– volume: 43
  start-page: 1043
  issue: 9
  year: 2007
  ident: 244_CR16
  publication-title: Int. Appl. Mech.
  doi: 10.1007/s10778-007-0105-8
– volume-title: Brittle Fracture of Materials under Dynamic Loads, Vol. 4 of the four-volume five book series Nonclassical Problems of Fracture Mechanics
  year: 1993
  ident: 244_CR3
– volume-title: Dynamic Fracture Mechanics
  year: 1995
  ident: 244_CR7
– volume: 27
  start-page: 1191
  issue: 12
  year: 1991
  ident: 244_CR13
  publication-title: Int. Appl. Mech.
– volume-title: Nonstationary Processes in Bodies with Cracks-Type Defects
  year: 1992
  ident: 244_CR4
– volume: 38
  start-page: 895
  issue: 8
  year: 2002
  ident: 244_CR11
  publication-title: Int. Appl. Mech.
  doi: 10.1023/A:1021266113662
– volume: 4
  start-page: 58
  issue: 2
  year: 2006
  ident: 244_CR14
  publication-title: Electron. J. Bound. Elem.
– volume: 2
  start-page: 173
  issue: 3
  year: 2001
  ident: 244_CR10
  publication-title: Int. J. Nonlin. Sci. Numer. Simul.
– volume: 28
  start-page: 407
  issue: 7
  year: 1992
  ident: 244_CR9
  publication-title: Int. Appl. Mech.
  doi: 10.1007/BF00847122
– volume-title: Dynamics of Brittle Fracture
  year: 1988
  ident: 244_CR6
– volume-title: Dynamic Fracture Mechanics
  year: 1985
  ident: 244_CR5
– volume: 43
  start-page: 809
  issue: 7
  year: 2007
  ident: 244_CR12
  publication-title: Int. Appl. Mech.
  doi: 10.1007/s10778-007-0082-y
– volume-title: Elastodynamic Crack Problems
  year: 1977
  ident: 244_CR8
– volume: 318
  start-page: 304
  issue: 2
  year: 1991
  ident: 244_CR1
  publication-title: DAN SSSR
– volume: 43
  start-page: 586
  issue: 5
  year: 2007
  ident: 244_CR15
  publication-title: Int. Appl. Mech.
  doi: 10.1007/s10778-007-0058-y
SSID ssj0009779
Score 1.809992
Snippet We will solve a fracture-mechanics problem for an elastic material with cracks subject to a polyharmonic load created by longitudinal waves with different...
SourceID proquest
crossref
springer
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 1033
SubjectTerms Applications of Mathematics
Classical Mechanics
Compression waves
Contact
Discontinuity
Displacement
Fracture mechanics
Loads (forces)
Physics
Physics and Astronomy
Wave propagation
Wavelengths
Title On dynamical fracture mechanics in the case of polyharmonic loading by P-waves
URI https://link.springer.com/article/10.1007/s10778-010-0244-1
https://www.proquest.com/docview/926328541
Volume 45
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LSwMxEA7SIuhBtCrWR8nBkxLYZnez2WOR1qJQPViopyVPEOpu6bZK_72TfdgqKnif5DCTyXzDzHyD0KX0VNcoIcHTuEcCQcGlrA0Js9YxPgHi1kWD7IgNx8HdJJxUc9x53e1elySLn3pj2C1ybLCueAsxiUDK0wxd6g6PeEx7a6bdqCDYg1THJxEAiLqU-dMVX4PRGmF-K4oWsWawj_YqkIh7pVUP0JZJW2h3gzqwhbaL1k2VH6LRQ4p1uVcezlg39bScG_xq3EwvSOCXFAPKwwriFc4snmXTleOrdpy4eJoVPfRYrvAjeRdvJj9C40H_6WZIqi0JRPnUWxBqpPZjJYWJqYkkj6wAlYeaaStiziT3wU21lirkKhSKM59FVknJpLZdnyv_GDXSLDUnCEupWOBxYwXngbZeTLWiNKYq0oqbwLSRV6srURWFuNtkMU3W5MdOwwloOHEaTrptdPV5ZFbyZ_wljGsbJPDKXelCpCZb5knsaOV5GIDIdW2bpPK2_PcLT_8lfYZ2ylqR6yA7R43FfGkuAHIsZAc1e7fP9_1O8dQ-ADdVzzs
linkProvider Springer Nature
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1NSwMxEA1SEfUgWhXrZw6elIVtdjebPRaxVK3VQwu9hXyCUHdLt1X6751sd20VFbxPcphkMi-8mTcIXUpfNY0SEiKN-V4oCISUtZFHrXWKT4C4dVEg26OdQXg_jIZlH3deVbtXlGTxUq80u8VODdaRt5CTPPjyrAMWYK6Oa0BaS6XduBDYg69O4MUAICoq86ctviajJcL8RooWuaa9i3ZKkIhbi1PdQ2smraPtFenAOtooSjdVvo96TynWi7nysMa6rqfZxOBX43p6wQK_pBhQHlaQr3Bm8TgbzZ1etdPExaOsqKHHco6fvXfxZvIDNGjf9m86XjklwVMB8aceMVIHiZLCJMTEksVWgMsjTbUVCaOSBRCmWksVMRUJxWhAY6ukpFLbZsBUcIhqaZaaI4SlVDT0mbGCsVBbPyFaEZIQFWvFTGgayK_cxVUpIe4mWYz4UvzYeZiDh7nzMG820NXnkvFCP-MvY1ydAYdb7qgLkZpslvPEycqzKAST6-pseBlt-e8bHv_L-gJtdvqPXd696z2coK0Fb-SqyU5RbTqZmTOAH1N5Xly3D55N0Jo
linkToPdf http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LSwMxEA6iKHoQrYr1mYMnZek2-8oei1rqg9qDhd5CniDU3dLdKv33TvZhq6jgfZLDPDITvplvELoQrmxryQVEGnUdnxMIKWMCJzTGMj5Bxa2KBtl-2Bv696NgVO05zepu9xqSLGcaLEtTkrcmyrSWBt8iywxrgVzITw58f9bgNW5btx6SzoJ1NyrI9uDb4zkRFBM1rPnTFV8T06La_AaQFnmnu4O2q4IRd0oL76IVnTTQ1hKNYAOtF22cMttD_acEq3LHPJwxdgJqNtX4Vdv5XpDALwmGig9LyF04NXiSjueWu9ry4-JxWvTTYzHHA-edv-lsHw27t8_XPafamOBIj7i5Q7RQXiwF1zHRkaCR4aD-QIXK8JiGgnoQskoJGVAZcElDL4yMFCIUyrQ9Kr0DtJqkiT5EWAgZ-i7VhlPqK-PGRElCYiIjJan2dRO5tbqYrOjE7VaLMVsQIVsNM9Awsxpm7Sa6_DwyKbk0_hLGtQ0YeLyFMXii01nGYksxTwMfRK5q27Aq8rLfLzz6l_Q52hjcdNnjXf_hGG2WEJJtLDtBq_l0pk-hEsnFWeFtH9Q41NY
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=On+dynamical+fracture+mechanics+in+the+case+of+polyharmonic+loading+by+P-waves&rft.jtitle=International+applied+mechanics&rft.au=Guz%2C+A+N&rft.au=Zozulya%2C+V+V&rft.date=2009-09-01&rft.issn=1063-7095&rft.volume=45&rft.issue=9&rft.spage=1033&rft.epage=1039&rft_id=info:doi/10.1007%2Fs10778-010-0244-1&rft.externalDBID=NO_FULL_TEXT
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1063-7095&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1063-7095&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1063-7095&client=summon