A boundary element methodology for viscoelastic analysis: Part I with cells

In this study Kelvin and Boltzmann viscoelastic models are implemented in a two-dimensional boundary element atmosphere. This general methodology is based on differential constitutive relations for viscoelasticity, avoiding the use of relaxation functions. Part I describes a methodology using intern...

Full description

Saved in:
Bibliographic Details
Published inApplied mathematical modelling Vol. 31; no. 6; pp. 1149 - 1170
Main Authors Mesquita, A.D., Coda, H.B.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.06.2007
Online AccessGet full text

Cover

Loading…
Abstract In this study Kelvin and Boltzmann viscoelastic models are implemented in a two-dimensional boundary element atmosphere. This general methodology is based on differential constitutive relations for viscoelasticity, avoiding the use of relaxation functions. Part I describes a methodology using internal cells. This methodology makes it possible to consider viscous parameters, which are not proportional to elastic tensor. From the kinematical relation between material and strain velocities at the approximation level a simple time marching process is achieved. At the end of Part I, numerical examples are provided to validate the methodology. The BEM viscoelastic formulation without using cells is carefully described in Part II.
AbstractList In this study Kelvin and Boltzmann viscoelastic models are implemented in a two-dimensional boundary element atmosphere. This general methodology is based on differential constitutive relations for viscoelasticity, avoiding the use of relaxation functions. Part I describes a methodology using internal cells. This methodology makes it possible to consider viscous parameters, which are not proportional to elastic tensor. From the kinematical relation between material and strain velocities at the approximation level a simple time marching process is achieved. At the end of Part I, numerical examples are provided to validate the methodology. The BEM viscoelastic formulation without using cells is carefully described in Part II.
Author Mesquita, A.D.
Coda, H.B.
Author_xml – sequence: 1
  givenname: A.D.
  surname: Mesquita
  fullname: Mesquita, A.D.
  email: mesquita@sc.usp.br
– sequence: 2
  givenname: H.B.
  surname: Coda
  fullname: Coda, H.B.
  email: hbcoda@sc.usp.br
BookMark eNp9UD1PwzAU9FAkWuAHsHliS3jOh-PAVFV8VFSCASQ2y3FeqKskLrZb1H-PqzIz3XvS3enuZmQy2hEJuWaQMmD8dpOq7ZBmADyFIo0wIVPIoUpqKD7Pycz7DQCU8ZuSlzlt7G5slTtQ7HHAMdABw9q2trdfB9pZR_fGa4u98sFoqkbVH7zxd_RNuUCX9MeENdXY9_6SnHWq93j1hxfk4_HhffGcrF6flov5KtF5JkIiKi4UK0E1ZYO6zbus4sBFXXaiwkoJgUwxzlVRV40o48W1AGhb3uRdFx3yC3Jz8t06-71DH-QQE8YEakS78zKrGXBWsEhkJ6J21nuHndw6M8SqkoE8TiU3Mk4lj1NJKGSEqLk_aTA22Bt00muDo8bWONRBttb8o_4Fvr11FA
CitedBy_id crossref_primary_10_1007_s10999_013_9220_3
crossref_primary_10_1016_j_ijengsci_2010_03_003
crossref_primary_10_1155_2021_2684127
crossref_primary_10_1080_15376494_2018_1430270
crossref_primary_10_1016_j_enganabound_2019_09_011
crossref_primary_10_1016_j_engfracmech_2022_108284
crossref_primary_10_1016_j_apm_2010_03_010
crossref_primary_10_1016_j_enganabound_2023_01_031
crossref_primary_10_1007_s40430_022_03773_8
crossref_primary_10_1016_j_compstruc_2015_06_014
crossref_primary_10_1016_j_compstruc_2023_107229
crossref_primary_10_1186_s13661_019_1119_y
crossref_primary_10_1016_j_enganabound_2011_01_006
crossref_primary_10_1007_s11043_012_9183_z
crossref_primary_10_4028_www_scientific_net_AMR_463_464_499
crossref_primary_10_1590_1679_78257010
crossref_primary_10_1016_j_ijengsci_2011_09_003
crossref_primary_10_1016_j_enganabound_2024_01_002
crossref_primary_10_1590_1679_78256709
crossref_primary_10_1007_s00419_008_0253_2
crossref_primary_10_12989_sem_2009_32_3_407
crossref_primary_10_1016_j_cma_2022_114911
crossref_primary_10_1016_j_cma_2022_115725
crossref_primary_10_1007_s10598_009_9046_x
crossref_primary_10_1016_j_compstruct_2015_10_014
Cites_doi 10.1016/0045-7825(91)90252-2
10.1016/0045-7949(85)90002-1
10.1002/nme.1620040306
10.1002/nme.1620141206
10.1090/qam/144536
10.1002/nme.198
10.1016/0045-7825(93)90084-B
10.1016/S0307-904X(01)00048-8
10.1016/0141-0296(82)90033-5
ContentType Journal Article
Copyright 2006 Elsevier Inc.
Copyright_xml – notice: 2006 Elsevier Inc.
DBID 6I.
AAFTH
AAYXX
CITATION
7SC
8FD
JQ2
L7M
L~C
L~D
DOI 10.1016/j.apm.2006.04.006
DatabaseName ScienceDirect Open Access Titles
Elsevier:ScienceDirect:Open Access
CrossRef
Computer and Information Systems Abstracts
Technology Research Database
ProQuest Computer Science Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
DatabaseTitle CrossRef
Computer and Information Systems Abstracts
Technology Research Database
Computer and Information Systems Abstracts – Academic
Advanced Technologies Database with Aerospace
ProQuest Computer Science Collection
Computer and Information Systems Abstracts Professional
DatabaseTitleList
Computer and Information Systems Abstracts
DeliveryMethod fulltext_linktorsrc
Discipline Mathematics
EndPage 1170
ExternalDocumentID 10_1016_j_apm_2006_04_006
S0307904X06000874
GroupedDBID --K
--M
-~X
.DC
.~1
0R~
1B1
1RT
1~.
1~5
23M
4.4
457
4G.
5GY
5VS
6I.
7-5
71M
8P~
9JN
AACTN
AAEDT
AAEDW
AAFTH
AAIAV
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AAQXK
AAXUO
ABAOU
ABEFU
ABFNM
ABMAC
ABVKL
ABXDB
ABYKQ
ACAZW
ACDAQ
ACGFS
ACNNM
ACRLP
ADBBV
ADEZE
ADMUD
ADTZH
AEBSH
AECPX
AEKER
AENEX
AEXQZ
AFFNX
AFKWA
AFTJW
AGHFR
AGUBO
AGYEJ
AHHHB
AHJVU
AIEXJ
AIGVJ
AIKHN
AITUG
AJBFU
AJOXV
ALMA_UNASSIGNED_HOLDINGS
AMFUW
AMRAJ
ARUGR
ASPBG
AVWKF
AXJTR
AZFZN
BJAXD
BKOJK
BLXMC
CS3
EBS
EFJIC
EFLBG
EJD
EO8
EO9
EP2
EP3
F5P
FDB
FGOYB
FIRID
FNPLU
FYGXN
G-2
G-Q
GBLVA
HZ~
IHE
IXB
J1W
JJJVA
KOM
LG9
LY7
M26
M41
MHUIS
MO0
MVM
N9A
NCXOZ
O-L
O9-
OAUVE
OK1
OZT
P-8
P-9
P2P
PC.
Q38
R2-
RIG
ROL
RPZ
SDF
SDG
SES
SEW
SPC
SPCBC
SST
SSW
SSZ
T5K
TN5
WH7
WUQ
XJT
XPP
ZMT
~02
~G-
0SF
AAXKI
AAYXX
ADVLN
AFJKZ
AKRWK
CITATION
7SC
8FD
JQ2
L7M
L~C
L~D
ID FETCH-LOGICAL-c328t-8768a150ab5becd3f27606895f87e7a88e1a166a497b851666c800dd6b3ff3283
IEDL.DBID ABVKL
ISSN 0307-904X
IngestDate Sat Oct 05 05:36:25 EDT 2024
Thu Sep 26 19:03:20 EDT 2024
Fri Feb 23 02:30:27 EST 2024
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 6
Language English
License http://www.elsevier.com/open-access/userlicense/1.0
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c328t-8768a150ab5becd3f27606895f87e7a88e1a166a497b851666c800dd6b3ff3283
Notes ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
OpenAccessLink https://www.sciencedirect.com/science/article/pii/S0307904X06000874
PQID 29106141
PQPubID 23500
PageCount 22
ParticipantIDs proquest_miscellaneous_29106141
crossref_primary_10_1016_j_apm_2006_04_006
elsevier_sciencedirect_doi_10_1016_j_apm_2006_04_006
PublicationCentury 2000
PublicationDate 2007-06-01
PublicationDateYYYYMMDD 2007-06-01
PublicationDate_xml – month: 06
  year: 2007
  text: 2007-06-01
  day: 01
PublicationDecade 2000
PublicationTitle Applied mathematical modelling
PublicationYear 2007
Publisher Elsevier Inc
Publisher_xml – name: Elsevier Inc
References Perzyna (bib10) 1963; 20
J. Munaiar Neto, A study of viscoelastic and viscoplastic constitutive models and the use of Finite Elements algorithms, Doctor in Science Thesis, EESC-USP, Brazil, 1998.
Mesquita, Coda (bib18) 2002; 26/4
Yadagiri, Papi (bib8) 1985; 20
Beer, Watson (bib19) 1992
Argyris, Doltsinis, Silva (bib9) 1991; 88
Chen, Chang, Yeh (bib5) 1993; 109
Simo, Hughes (bib14) 1998
Chen, Lin (bib7) 1982; 14
Owen, Damjanic (bib11) 1982
Carpenter (bib6) 1972; 4
Argyris, Doltsinis, William (bib13) 1979; 14
Sobotka (bib3) 1984
Lemaitre, Chaboche (bib1) 1990
Doltsinis (bib15) 2000
Mesquita, Coda, Venturini (bib16) 2001; 51
Christensen (bib4) 1982
Flügge (bib2) 1967
Brebbia, Telles, Wrobel (bib17) 1984
Chen (10.1016/j.apm.2006.04.006_bib7) 1982; 14
Mesquita (10.1016/j.apm.2006.04.006_bib18) 2002; 26/4
Flügge (10.1016/j.apm.2006.04.006_bib2) 1967
Christensen (10.1016/j.apm.2006.04.006_bib4) 1982
Argyris (10.1016/j.apm.2006.04.006_bib13) 1979; 14
Simo (10.1016/j.apm.2006.04.006_bib14) 1998
Doltsinis (10.1016/j.apm.2006.04.006_bib15) 2000
Yadagiri (10.1016/j.apm.2006.04.006_bib8) 1985; 20
10.1016/j.apm.2006.04.006_bib12
Chen (10.1016/j.apm.2006.04.006_bib5) 1993; 109
Carpenter (10.1016/j.apm.2006.04.006_bib6) 1972; 4
Lemaitre (10.1016/j.apm.2006.04.006_bib1) 1990
Argyris (10.1016/j.apm.2006.04.006_bib9) 1991; 88
Beer (10.1016/j.apm.2006.04.006_bib19) 1992
Brebbia (10.1016/j.apm.2006.04.006_bib17) 1984
Mesquita (10.1016/j.apm.2006.04.006_bib16) 2001; 51
Sobotka (10.1016/j.apm.2006.04.006_bib3) 1984
Perzyna (10.1016/j.apm.2006.04.006_bib10) 1963; 20
Owen (10.1016/j.apm.2006.04.006_bib11) 1982
References_xml – year: 1992
  ident: bib19
  article-title: Introduction to Finite and Boundary Element Methods for Engineers
  contributor:
    fullname: Watson
– volume: 4
  start-page: 357
  year: 1972
  end-page: 366
  ident: bib6
  article-title: Viscoelastic stress analysis
  publication-title: Int. J. Numer. Meth. Eng.
  contributor:
    fullname: Carpenter
– year: 2000
  ident: bib15
  article-title: Elements of Plasticity – Theory and Computation
  contributor:
    fullname: Doltsinis
– year: 1982
  ident: bib4
  article-title: Theory of Viscoelasticity
  contributor:
    fullname: Christensen
– year: 1967
  ident: bib2
  article-title: Viscoelasticity
  contributor:
    fullname: Flügge
– volume: 14
  start-page: 1813
  year: 1979
  end-page: 1850
  ident: bib13
  article-title: New developments in the inelastic analysis of quasistatic and dynamic problems
  publication-title: Int. J. Numer. Meth. Eng.
  contributor:
    fullname: William
– volume: 20
  start-page: 817
  year: 1985
  end-page: 825
  ident: bib8
  article-title: Viscoelastic analysis of near incompressible solids
  publication-title: Comput. Struct.
  contributor:
    fullname: Papi
– year: 1990
  ident: bib1
  article-title: Mechanics of Solids
  contributor:
    fullname: Chaboche
– volume: 26/4
  start-page: 501
  year: 2002
  end-page: 516
  ident: bib18
  article-title: Alternative Kelvin viscoelastic procedure for finite elements
  publication-title: Appl. Math. Model.
  contributor:
    fullname: Coda
– year: 1984
  ident: bib17
  article-title: Boundary Element Techniques: Theory and Applications in Engineering
  contributor:
    fullname: Wrobel
– volume: 88
  start-page: 135
  year: 1991
  end-page: 163
  ident: bib9
  article-title: Constitutive modelling and computation of non-linear viscoelastic solids. Part I: Rheological models and integration techniques
  publication-title: Comp. Meth. Appl. Mech. Eng.
  contributor:
    fullname: Silva
– volume: 51
  start-page: 1157
  year: 2001
  end-page: 1173
  ident: bib16
  article-title: An alternative time marching process for viscoelastic analysis by BEM and FEM
  publication-title: Inter. J. Numer. Meth. Eng.
  contributor:
    fullname: Venturini
– volume: 14
  start-page: 271
  year: 1982
  end-page: 276
  ident: bib7
  article-title: Dynamic analysis of viscoelastic structures using incremental finite element method
  publication-title: Eng. Struct.
  contributor:
    fullname: Lin
– volume: 109
  start-page: 315
  year: 1993
  end-page: 319
  ident: bib5
  article-title: An incremental relaxation finite element analysis of viscoelastic problems with contact and friction
  publication-title: Comput. Meth. Appl. Mech. Eng.
  contributor:
    fullname: Yeh
– volume: 20
  start-page: 321
  year: 1963
  end-page: 332
  ident: bib10
  article-title: The constitutive equations for rate sensitive plastic models
  publication-title: Quart. Appl. Math.
  contributor:
    fullname: Perzyna
– year: 1998
  ident: bib14
  article-title: Computational Inelasticity
  contributor:
    fullname: Hughes
– year: 1984
  ident: bib3
  article-title: Rheology of Materials and Engineering Structures
  contributor:
    fullname: Sobotka
– year: 1982
  ident: bib11
  article-title: Viscoplastic analysis of solids stability considerations
  publication-title: Recent Advances in Non-Linear Computational Mechanics
  contributor:
    fullname: Damjanic
– volume: 88
  start-page: 135
  year: 1991
  ident: 10.1016/j.apm.2006.04.006_bib9
  article-title: Constitutive modelling and computation of non-linear viscoelastic solids. Part I: Rheological models and integration techniques
  publication-title: Comp. Meth. Appl. Mech. Eng.
  doi: 10.1016/0045-7825(91)90252-2
  contributor:
    fullname: Argyris
– volume: 20
  start-page: 817
  year: 1985
  ident: 10.1016/j.apm.2006.04.006_bib8
  article-title: Viscoelastic analysis of near incompressible solids
  publication-title: Comput. Struct.
  doi: 10.1016/0045-7949(85)90002-1
  contributor:
    fullname: Yadagiri
– year: 1984
  ident: 10.1016/j.apm.2006.04.006_bib17
  contributor:
    fullname: Brebbia
– year: 1967
  ident: 10.1016/j.apm.2006.04.006_bib2
  contributor:
    fullname: Flügge
– volume: 4
  start-page: 357
  year: 1972
  ident: 10.1016/j.apm.2006.04.006_bib6
  article-title: Viscoelastic stress analysis
  publication-title: Int. J. Numer. Meth. Eng.
  doi: 10.1002/nme.1620040306
  contributor:
    fullname: Carpenter
– volume: 14
  start-page: 1813
  year: 1979
  ident: 10.1016/j.apm.2006.04.006_bib13
  article-title: New developments in the inelastic analysis of quasistatic and dynamic problems
  publication-title: Int. J. Numer. Meth. Eng.
  doi: 10.1002/nme.1620141206
  contributor:
    fullname: Argyris
– year: 2000
  ident: 10.1016/j.apm.2006.04.006_bib15
  contributor:
    fullname: Doltsinis
– volume: 20
  start-page: 321
  year: 1963
  ident: 10.1016/j.apm.2006.04.006_bib10
  article-title: The constitutive equations for rate sensitive plastic models
  publication-title: Quart. Appl. Math.
  doi: 10.1090/qam/144536
  contributor:
    fullname: Perzyna
– year: 1982
  ident: 10.1016/j.apm.2006.04.006_bib11
  article-title: Viscoplastic analysis of solids stability considerations
  contributor:
    fullname: Owen
– year: 1998
  ident: 10.1016/j.apm.2006.04.006_bib14
  contributor:
    fullname: Simo
– volume: 51
  start-page: 1157
  year: 2001
  ident: 10.1016/j.apm.2006.04.006_bib16
  article-title: An alternative time marching process for viscoelastic analysis by BEM and FEM
  publication-title: Inter. J. Numer. Meth. Eng.
  doi: 10.1002/nme.198
  contributor:
    fullname: Mesquita
– year: 1992
  ident: 10.1016/j.apm.2006.04.006_bib19
  contributor:
    fullname: Beer
– volume: 109
  start-page: 315
  year: 1993
  ident: 10.1016/j.apm.2006.04.006_bib5
  article-title: An incremental relaxation finite element analysis of viscoelastic problems with contact and friction
  publication-title: Comput. Meth. Appl. Mech. Eng.
  doi: 10.1016/0045-7825(93)90084-B
  contributor:
    fullname: Chen
– year: 1984
  ident: 10.1016/j.apm.2006.04.006_bib3
  contributor:
    fullname: Sobotka
– year: 1990
  ident: 10.1016/j.apm.2006.04.006_bib1
  contributor:
    fullname: Lemaitre
– volume: 26/4
  start-page: 501
  year: 2002
  ident: 10.1016/j.apm.2006.04.006_bib18
  article-title: Alternative Kelvin viscoelastic procedure for finite elements
  publication-title: Appl. Math. Model.
  doi: 10.1016/S0307-904X(01)00048-8
  contributor:
    fullname: Mesquita
– volume: 14
  start-page: 271
  year: 1982
  ident: 10.1016/j.apm.2006.04.006_bib7
  article-title: Dynamic analysis of viscoelastic structures using incremental finite element method
  publication-title: Eng. Struct.
  doi: 10.1016/0141-0296(82)90033-5
  contributor:
    fullname: Chen
– year: 1982
  ident: 10.1016/j.apm.2006.04.006_bib4
  contributor:
    fullname: Christensen
– ident: 10.1016/j.apm.2006.04.006_bib12
SSID ssj0005904
Score 1.9922613
Snippet In this study Kelvin and Boltzmann viscoelastic models are implemented in a two-dimensional boundary element atmosphere. This general methodology is based on...
SourceID proquest
crossref
elsevier
SourceType Aggregation Database
Publisher
StartPage 1149
Title A boundary element methodology for viscoelastic analysis: Part I with cells
URI https://dx.doi.org/10.1016/j.apm.2006.04.006
https://search.proquest.com/docview/29106141
Volume 31
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3dS8MwEA_bfNEH8RPnx8yDT0JdP9Km9W0bjs25Keik-BKSNoUJbmPdBF_82720iaKgDz6FBi40l-Tud5fLHUJn1BaURNK3VC4ni7jctsCMEJZI1MNGLwXLWfkhh6OgNybXsR9XUMe8hVFhlVr2lzK9kNa6p6m52ZxPJs17tT0jm8R2oBQZJVW05lI_gtO51mo_Dm6-Ij0im5h8iIrAXG4WYV58_qKvJFQa7eA39fRDUBfap7uFNjVsxK3yz7ZRRU530MbwM-dqvosGLSyKGkmLNyzLoHBc1ocuPOcY0Cl-neTJTAJgBhLMdT6SS3wHM8Z9rHyyWHny8z007l49dHqWLpVgJZ4bLpVMCzlgOy58WJTUy1wKlkkY-VlIJeVhKB3uBAEnERWAscBmSQAppmkgvCyDEbx9VJvOpvIAYeBXBkqKJBRMJelQLlI349BmHoyVJHV0bjjE5mVGDGZCxZ4ZsFNVtgyYTRg0dUQMD9m3ZWUgsf8iOzX8ZrDd1cz5VM5WOXOjwoZ1Dv838BFaNwF_tnOMasvFSp4AqliKBqpevDsNvXdU2x_0RtDbj9vwNerEt08fBFDOrw
link.rule.ids 315,786,790,3520,4516,24137,27591,27946,27947,45609,45687,45703,45898
linkProvider Elsevier
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3dS8MwED_mfFAfxE-cX8uDT0Jd2qZN69sYyuY-ENxgbyFpU5hgN9ZN8MW_3Us_RAV98CkQmqO5HHe_u1zuAK44VZyF2rNMLSeLOZJa6EYoS0XmYaMbo-ds4pDDkd-dsIepN61Bp3oLY9IqS91f6PRcW5czrZKbrcVs1noy4hlSNqW-MWScbcAmogFqRPvm_UueR0hZVQ3RfF5dbeZJXnLxUl5ImCLa_m_G6Yeazm3P_R7slqCRtIv_2oeaTg9gZ_hZcTU7hH6bqLxD0vKN6CIlnBTdofO4OUFsSl5nWTTXCJdxCZFlNZJb8oj7JT1iIrLExPGzI5jc3407XatslGBFrhOsjEYLJCI7qTw8kthNHI5-SRB6ScA1l0GgbWn7vmQhV4iw0GOJECfGsa_cJEEK7jHU03mqT4AgvxI0USzi6Chpm0sVO4nEMXGRVhQ14LrikFgU9TBElSj2LJCdpq-lLygTODSAVTwU3w5VoL7-a1mz4rdAYTc7l6merzPhhLkHa5_-j3ATtrrj4UAMeqP-GWxXqX_UPof6arnWF4gvVuoyl58PGXXLKg
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=A+boundary+element+methodology+for+viscoelastic+analysis%3A+Part+I+with+cells&rft.jtitle=Applied+mathematical+modelling&rft.au=Mesquita%2C+A.D.&rft.au=Coda%2C+H.B.&rft.date=2007-06-01&rft.issn=0307-904X&rft.volume=31&rft.issue=6&rft.spage=1149&rft.epage=1170&rft_id=info:doi/10.1016%2Fj.apm.2006.04.006&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_apm_2006_04_006
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0307-904X&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0307-904X&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0307-904X&client=summon