Winkler Support Model and Nonlinear Boundary Conditions Applied to 3D Elastic Contact Problem Using the Boundary Element Method
This work presents a numerical methodology for modeling the Winkler supports and nonlinear conditions by proposing new boundary conditions. For the boundary conditions of Winkler support model, the surface tractions and the displacements normal to the surface of the solid are unknown, but their rela...
Uložené v:
| Vydané v: | Acta mechanica solida Sinica Ročník 32; číslo 2; s. 230 - 248 |
|---|---|
| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Singapore
Springer Singapore
11.04.2019
|
| Predmet: | |
| ISSN: | 0894-9166, 1860-2134 |
| On-line prístup: | Získať plný text |
| Tagy: |
Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
|
| Abstract | This work presents a numerical methodology for modeling the Winkler supports and nonlinear conditions by proposing new boundary conditions. For the boundary conditions of Winkler support model, the surface tractions and the displacements normal to the surface of the solid are unknown, but their relationship is known by means of the ballast coefficient, whereas for nonlinear boundary conditions, the displacements normal to the boundary of the solid are zero in the positive direction but are allowed in the negative direction. In those zones, detachments of nodes might appear, leading to a nonlinearity, because the number of nodes that remain fixed or of the detached ones (under tensile tractions) is unknown. The proposed methodology is applied to the 3D elastic receding contact problem using the boundary element method. The surface tractions and the displacements of the common interface between the two solids in contact under the influence of different supports are calculated as well as the boundary zone of the solid where the new boundary conditions are applied. The problem is solved by a double-iterative method, so in the final solution, there are no tractions or penetrations between the two solids or at the boundary of the solid where the nonlinear boundary conditions are simulated. The effectiveness of the proposed method is verified by examples. |
|---|---|
| AbstractList | This work presents a numerical methodology for modeling the Winkler supports and nonlinear conditions by proposing new boundary conditions. For the boundary conditions of Winkler support model, the surface tractions and the displacements normal to the surface of the solid are unknown, but their relationship is known by means of the ballast coefficient, whereas for nonlinear boundary conditions, the displacements normal to the boundary of the solid are zero in the positive direction but are allowed in the negative direction. In those zones, detachments of nodes might appear, leading to a nonlinearity, because the number of nodes that remain fixed or of the detached ones (under tensile tractions) is unknown. The proposed methodology is applied to the 3D elastic receding contact problem using the boundary element method. The surface tractions and the displacements of the common interface between the two solids in contact under the influence of different supports are calculated as well as the boundary zone of the solid where the new boundary conditions are applied. The problem is solved by a double-iterative method, so in the final solution, there are no tractions or penetrations between the two solids or at the boundary of the solid where the nonlinear boundary conditions are simulated. The effectiveness of the proposed method is verified by examples. |
| Author | Vallepuga-Espinosa, J. Ubero-Martínez, Iván Sánchez-González, Lidia |
| Author_xml | – sequence: 1 givenname: J. surname: Vallepuga-Espinosa fullname: Vallepuga-Espinosa, J. organization: Departamento de Tecnología Minera, Topografía y de Estructuras, Universidad de León – sequence: 2 givenname: Lidia surname: Sánchez-González fullname: Sánchez-González, Lidia organization: Departamento de Ingenierías Mecánica, Informática y Aeroespacial, Universidad de León – sequence: 3 givenname: Iván orcidid: 0000-0003-4236-9298 surname: Ubero-Martínez fullname: Ubero-Martínez, Iván email: iubem@unileon.es organization: Departamento de Tecnología Minera, Topografía y de Estructuras, Universidad de León |
| BookMark | eNp9kMtOwzAQRS1UJNrCD7DyDwTGj4RkWUp5SOUhQcUycmyndUntyHYXrPh1XIqExKKL0WhG98zo3hEaWGc1QucELgjA1WUgwFiZAUmVZpbxIzQkZQEZJYwP0BDKimcVKYoTNAphDUCBlXSIvt6N_ei0x6_bvnc-4kendIeFVfjJ2c5YLTy-dlurhP_EU2eVicbZgCd93xmtcHSY3eBZJ0I0cieIQkb84l3T6Q1eBGOXOK70341Z2mubHum4cuoUHbeiC_rst4_R4nb2Nr3P5s93D9PJPJO0IjGTjDZMMSaVlKIsOK94zvOmkUCEBEFJqTXN87xpQUCphSpaoKQRquUAXDRsjMr9XeldCF63tTRR7KxEL0xXE6h3Qdb7IOsUZP0TZM0TSv-hvTebZOUwxPZQSGK71L5eu623yeIh6hsH3YoE |
| CitedBy_id | crossref_primary_10_1016_j_enganabound_2024_106076 crossref_primary_10_3390_fractalfract6030133 crossref_primary_10_3390_math10111913 |
| Cites_doi | 10.1016/j.enganabound.2011.12.010 10.1016/j.tws.2012.05.020 10.1007/s004660000207 10.1016/j.mechmat.2008.06.002 10.1016/0264-682X(86)90045-6 10.1016/j.mechrescom.2013.12.007 10.1016/j.apm.2017.10.022 10.1016/j.wear.2005.07.020 10.1007/BF00058082 10.1016/j.ijsolstr.2014.09.019 10.1002/(SICI)1097-0207(19980430)41:8<1435::AID-NME345>3.0.CO;2-O 10.1016/j.ijsolstr.2010.05.021 10.1016/j.enganabound.2016.05.007 10.1016/S0043-1648(99)00113-1 10.1016/j.ijsolstr.2005.09.004 10.1016/0895-7177(91)90060-K 10.1016/j.triboint.2018.03.033 10.1016/j.cma.2018.01.025 10.1016/j.mechrescom.2016.01.007 10.1016/j.enganabound.2017.11.007 10.1007/BF01535102 10.1002/cnm.1630020412 10.1016/j.cnsns.2018.05.001 10.1016/S0045-7949(01)00100-6 10.1007/978-3-319-01854-6_9 10.1016/j.triboint.2016.04.001 10.1016/S0955-7997(98)00018-6 10.1016/0045-7949(92)90076-C 10.1016/j.ijsolstr.2016.03.007 10.1007/978-3-319-67180-2_51 10.1016/j.compstruct.2016.01.096 10.1016/0955-7997(95)00029-N 10.1016/0045-7949(82)90020-7 10.1115/1.2837089 10.1115/1.2833523 10.1007/978-3-642-48860-3 |
| ContentType | Journal Article |
| Copyright | The Chinese Society of Theoretical and Applied Mechanics 2019 |
| Copyright_xml | – notice: The Chinese Society of Theoretical and Applied Mechanics 2019 |
| DBID | AAYXX CITATION |
| DOI | 10.1007/s10338-018-00073-4 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 1860-2134 |
| EndPage | 248 |
| ExternalDocumentID | 10_1007_s10338_018_00073_4 |
| GroupedDBID | --K --M -01 -0A -EM -S~ .86 .~1 0R~ 188 1B1 1~. 1~5 23M 2B. 2C. 4.4 406 457 4G. 5GY 5VR 5VS 5XA 5XB 7-5 71M 8P~ 92E 92I 92M 92Q 93N AACDK AACTN AAEDT AAHNG AAIAL AAIKJ AAJBT AAKOC AAOAW AASML AATNV AAUYE AAXDM ABAKF ABDZT ABECU ABFTV ABJNI ABKCH ABMQK ABTEG ABTKH ABTMW ACAOD ACDTI ACGFS ACHSB ACOKC ACPIV ACRLP ACZOJ ADEZE ADIMF ADKNI ADRFC ADTZH ADURQ ADYFF AECPX AEFQL AEKER AEMSY AENEX AESKC AFBBN AFQWF AFUIB AGDGC AGHFR AGJBK AGMZJ AGQEE AGRTI AGUBO AGYEJ AIGIU AIKHN AILAN AITGF AJZVZ AKRWK ALMA_UNASSIGNED_HOLDINGS AMFUW AMKLP AMXSW AMYLF AXYYD BGNMA BLXMC CAJEA CCEZO CCVFK CHBEP CS3 CW9 DPUIP EBLON EBS EJD EP2 EP3 FA0 FDB FEDTE FIGPU FINBP FNLPD FNPLU FSGXE FYGXN GBLVA GGCAI GJIRD HVGLF HZ~ IKXTQ IWAJR J-C J1W JJJVA JUIAU JZLTJ KOM KOV LLZTM M4Y MO0 N9A NPVJJ NQJWS O-L O9- O9J OAUVE OZT P-8 P-9 P2P PC. PT4 Q-- Q-0 Q38 R-A RLLFE ROL RSV RT1 S27 SDF SES SJYHP SNE SNPRN SOHCF SOJ SPC SRMVM SSLCW STPWE T13 T5K T8Q TCJ TGP U1F U1G U5A U5K UOJIU UTJUX VEKWB VFIZW ZMTXR ~LB -SA 1SB 8RM 9D9 9DA 9DU AAEDW AALRI AATTM AAXKI AAXUO AAYWO AAYXX ABBRH ABDBE ABFSG ABJCF ABMAC ABRTQ ABWVN ABXDB ACDAQ ACLOT ACNNM ACRPL ACSTC ACVFH ADBBV ADCNI ADMUD ADNMO AEBSH AEIPS AEUPX AEZWR AFDZB AFFHD AFHIU AFKRA AFLOW AFOHR AFPUW AHJVU AHPBZ AHWEU AIAKS AIEXJ AIGII AIIUN AITUG AIXLP AKBMS AKYEP AMRAJ ANKPU ARAPS ATHPR AXJTR AYFIA BENPR BGLVJ BKOJK CCPQU CITATION EFJIC EFKBS EFLBG FIRID HCIFZ HF~ IXE KB. KDC LAS M41 M7S NU0 PDBOC PHGZM PHGZT PQGLB PTHSS REI RPX S1Z SST SSZ U2A ~HD |
| ID | FETCH-LOGICAL-c291t-c32b3d33cdcca864494545bbc01ac0a218ee2555bf0a08ead6f021badf4004ab3 |
| IEDL.DBID | RSV |
| ISICitedReferencesCount | 3 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000462442800008&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0894-9166 |
| IngestDate | Tue Nov 18 22:06:30 EST 2025 Sat Nov 29 03:53:06 EST 2025 Fri Feb 21 02:42:36 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 2 |
| Keywords | Winkler support model Nonlinear boundary conditions Boundary element method Elastic contact problem |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c291t-c32b3d33cdcca864494545bbc01ac0a218ee2555bf0a08ead6f021badf4004ab3 |
| ORCID | 0000-0003-4236-9298 |
| PageCount | 19 |
| ParticipantIDs | crossref_citationtrail_10_1007_s10338_018_00073_4 crossref_primary_10_1007_s10338_018_00073_4 springer_journals_10_1007_s10338_018_00073_4 |
| PublicationCentury | 2000 |
| PublicationDate | 20190411 |
| PublicationDateYYYYMMDD | 2019-04-11 |
| PublicationDate_xml | – month: 4 year: 2019 text: 20190411 day: 11 |
| PublicationDecade | 2010 |
| PublicationPlace | Singapore |
| PublicationPlace_xml | – name: Singapore |
| PublicationSubtitle | The Chinese Society of Theoretical and Applied Mechanics |
| PublicationTitle | Acta mechanica solida Sinica |
| PublicationTitleAbbrev | Acta Mech. Solida Sin |
| PublicationYear | 2019 |
| Publisher | Springer Singapore |
| Publisher_xml | – name: Springer Singapore |
| References | Winkler E. Die Lehre von der Elasticitaet und Festigkeit: mit besonderer Rücksicht auf ihre Anwendung in der Technik, für polytechnische Schulen, Bauakademien, Ingenieure, Maschinenbauer, Architecten, etc. Dominicius; 1868. ZhangSLiXRanRSelf-adaptive projection and boundary element methods for contact problems with Tresca frictionCommun Nonlinear Sci Numer Simul20186872386005610.1016/j.cnsns.2018.05.001 StanleyHMKatoTAn FFT-based method for rough surface contactJ Tribol1997119348148510.1115/1.2833523 Mediavilla AF. Tridimensional elastic contact problem by boundary integrals. Ph.D., Universidad de Valladolid; 1991. XiaoJRBoundary element analysis of unilateral supported Reissner plates on elastic foundationsComput Mech200112711010.1007/s0046600002071042.74056 GarridoJALorenzanaAEnriched beam model for slender prismatic solids in contact with a rigid foundationEng Anal Bound Elem199842129530310.1016/S0955-7997(98)00018-6 HartmannFThe Somigliana identity on piecewise smooth surfacesJ Elast.198111440342363762310.1007/BF000580820487.73014 Rodríguez-TemblequeLAbascalRAliabadiMHA boundary element formulation for wear modeling on 3D and rolling-contact problemsInt J Solids Struct2010472600261210.1016/j.ijsolstr.2010.05.0211196.74274 DargushGFSoomAContact modeling in boundary element analysis including the simulation of thermomechanical wearTribol Int201610036037010.1016/j.triboint.2016.04.001 SfantosGKAliabadiMHWear simulation using an incremental sliding boundary element methodWear20062601119112810.1016/j.wear.2005.07.020 KalkerJJVan RandenYA minimum principle for frictionless elastic contact with application to non-Hertzian half-space contact problemsJ Eng Math19726219320635949810.1007/BF015351020243.73043 TsaiNWestmannRABeam on tensionless foundationJ Eng Mech196793112 Al-HosaniKA non-singular fundamental solution for boundary element analysis of thick plates on Winkler foundation under generalized loadingComput Struct200131792767278010.1016/S0045-7949(01)00100-6 ShuXZhangJHanLDongYA surface-to-surface scheme for 3D contact problems by boundary face methodEng Anal Bound Elem2016702330353064710.1016/j.enganabound.2016.05.0071403.74063 BrebbiaCATellesJCFWrobelLCBoundary element techniques1984BerlinSpringer17723610.1007/978-3-642-48860-30556.73086 EspinosaJVMediavillaAFBoundary element method applied to three dimensional thermoelastic contactEng Anal Bound Elem201263692893310.1016/j.enganabound.2011.12.0101351.74142 ParisFFocesAGarridoJAApplication of boundary element method to solve three-dimensional elastic contact problems without frictionComput Struct199243193010.1016/0045-7949(92)90076-C0779.73079 Espinosa JV. 3D thermoelastic contact problem without friction analysis using BEM. Microelectronic application, Ph.D., Universidad de Valladolid; 2009. AttarMKarrechARegenauer-LiebKNon-linear analysis of beam-like structures on unilateral foundations: a lattice spring modelInt J Solids Struct201688–8919221410.1016/j.ijsolstr.2016.03.0071406.74370 Wayne ChenWJane WangQA numerical model for the point contact of dissimilar materials considering tangential tractionsMech Mater20084093694810.1016/j.mechmat.2008.06.002 GarridoJAFocesAParisFBEM applied to receding contact problems with frictionMath Comput Model19913–51514315310.1016/0895-7177(91)90060-K0725.73081 Panahandeh-ShahrakiDShahidiARMirdamadiHRVaseghiONonlinear analysis of uni-lateral buckling for cylindrical panels on tensionless foundationThin-Walled Struct20136210911710.1016/j.tws.2012.05.020 González R, Sánchez L, Vallepuga J, Alfonso J. Solving linear systems of equations from BEM codes. In: International joint conference SOCO’13-CISIS’13-ICEUTE’13. Springer; 2014. p. 81–90 SelvaduraiAPSElastic analysis of soil-foundation interaction2013AmsterdamElsevier ZhongJFuYChenYLiYAnalysis of nonlinear dynamic responses for functionally graded beams resting on tensionless elastic foundation under thermal shockCompos Struct201614227227710.1016/j.compstruct.2016.01.096 KalkerJJNumerical calculation of the elastic field in a half-spaceCommun Appl Numer Methods1986240141010.1002/cnm.16300204120592.73116 BalciMNDagSDynamic frictional contact problems involving elastic coatingsTribol Int2018124709210.1016/j.triboint.2018.03.033 González R, Sánchez-González L, Vallepuga J, Ubero I. Parallel performance of the boundary element method in thermoelastic contact problems. In: International joint conference SOCO’17-CISIS’17-ICEUTE’17. Springer; 2017. p. 524–32 CostaJAJrBrebbiaCAThe boundary element method applied to plates on elastic foundationsEng Anal198542 RashedYFAliabadiMHBrebbiaCAThe boundary element method for thick plates on a winkler foundationInt J Numer Methods Eng1998411435146210.1002/(SICI)1097-0207(19980430)41:8<1435::AID-NME345>3.0.CO;2-O0907.73075 CouchauxMHjiajMRyanIEnriched beam model for slender prismatic solids in contact with a rigid foundationEng Anal201593181190 Garrido JA. The contact problem in elasticity by integral equations. Ph.D., Universidad Politécnica de las Palmas; 1986. TE DB SE-C, Seguridad Estructural Cimientos. BOE 25/01/2008. TianXBhushanBA numerical three-dimensional model for the contact of rough surfaces by variational principleJ Tribol19961181334210.1115/1.2837089 GimperleinHMeyerFÖzdemirCStephanEPTime domain boundary elements for dynamic contact problemsComput Methods Appl Mech Eng2018333147175377189110.1016/j.cma.2018.01.025 LiYSBuckling analysis of magnetoelectroelastic plate resting on Pasternak elastic foundationMech Res Commun20145610411410.1016/j.mechrescom.2013.12.007 YastrebovVAAnciauxGMolinariJ-FFrom infinitesimal to full contact between rough surfaces: evolution of the contact areaInt J Solids Struct2015528310210.1016/j.ijsolstr.2014.09.019 PolonskyIAKeerLMA numerical method for solving rough contact problems based on the multi-level multi-summation and conjugate gradient techniquesWear199923120621910.1016/S0043-1648(99)00113-1 WeitsmanYOn foundations that react in compression onlyJ Appl Mech19704370218.73072 AlonsoPGarrido GarcíaJABEM applied to 2D thermoelastic contact problems including conduction and forced convection in interstitial zonesEng Anal Bound Elem199531524925910.1016/0955-7997(95)00029-N KatzCWernerHImplementation of nonlinear boundary conditions in finite elements analysisComput Struct198215329930410.1016/0045-7949(82)90020-70486.73067 IoakimidisNIDerivation of conditions of complete contact for a beam on a tensionless Winkler elastic foundation with MathematicaMech Res Commun201672647310.1016/j.mechrescom.2016.01.007 ZhangLZhaoMNew method for a beam resting on a tensionless and elastic–plastic foundation subjected to arbitrarily complex loadsInt J Geomech2015416 ZhangSLiXA self-adaptive projection method for contact problems with the BEMAppl Math Model201855145159373985010.1016/j.apm.2017.10.022 ZhongB-DYanFLvJ-HContinuous–discontinuous hybrid boundary node method for frictional contact problemsEng Anal Bound Elem2018871926374002710.1016/j.enganabound.2017.11.0071403.74270 CostaJABrebbiaCAOn the reduction of domain integrals to the boundary for the BEM formulation of plates on elastic foundationEng Anal19862312312610.1016/0264-682X(86)90045-6 SfantosGKAliabadiMHApplication of BEM and optimization technique to wear problemsInt J Solids Struct2006433626364210.1016/j.ijsolstr.2005.09.0041121.74439 HM Stanley (73_CR23) 1997; 119 MN Balci (73_CR33) 2018; 124 GK Sfantos (73_CR19) 2006; 43 JA Costa Jr (73_CR5) 1985; 4 F Paris (73_CR40) 1992; 43 K Al-Hosani (73_CR4) 2001; 31 L Rodríguez-Tembleque (73_CR18) 2010; 47 J Zhong (73_CR14) 2016; 142 APS Selvadurai (73_CR1) 2013 D Panahandeh-Shahraki (73_CR15) 2013; 62 VA Yastrebov (73_CR24) 2015; 52 73_CR36 JA Garrido (73_CR37) 1998; 4 NI Ioakimidis (73_CR12) 2016; 72 P Alonso (73_CR35) 1995; 3 M Couchaux (73_CR11) 2015; 93 73_CR38 JA Garrido (73_CR39) 1991; 3–5 X Tian (73_CR25) 1996; 118 73_CR2 M Attar (73_CR17) 2016; 88–89 JR Xiao (73_CR7) 2001; 1 GK Sfantos (73_CR20) 2006; 260 IA Polonsky (73_CR22) 1999; 231 JJ Kalker (73_CR27) 1986; 2 JJ Kalker (73_CR26) 1972; 6 C Katz (73_CR3) 1982; 15 GF Dargush (73_CR21) 2016; 100 Y Weitsman (73_CR10) 1970; 4 73_CR43 N Tsai (73_CR9) 1967; 93 73_CR44 YS Li (73_CR16) 2014; 56 73_CR47 YF Rashed (73_CR8) 1998; 41 CA Brebbia (73_CR45) 1984 W Wayne Chen (73_CR28) 2008; 40 H Gimperlein (73_CR34) 2018; 333 JV Espinosa (73_CR42) 2012; 6 S Zhang (73_CR31) 2018; 55 X Shu (73_CR32) 2016; 70 73_CR41 F Hartmann (73_CR46) 1981; 11 L Zhang (73_CR13) 2015; 4 S Zhang (73_CR29) 2018; 68 B-D Zhong (73_CR30) 2018; 87 JA Costa (73_CR6) 1986; 2 |
| References_xml | – reference: Rodríguez-TemblequeLAbascalRAliabadiMHA boundary element formulation for wear modeling on 3D and rolling-contact problemsInt J Solids Struct2010472600261210.1016/j.ijsolstr.2010.05.0211196.74274 – reference: LiYSBuckling analysis of magnetoelectroelastic plate resting on Pasternak elastic foundationMech Res Commun20145610411410.1016/j.mechrescom.2013.12.007 – reference: TE DB SE-C, Seguridad Estructural Cimientos. BOE 25/01/2008. – reference: SfantosGKAliabadiMHWear simulation using an incremental sliding boundary element methodWear20062601119112810.1016/j.wear.2005.07.020 – reference: SelvaduraiAPSElastic analysis of soil-foundation interaction2013AmsterdamElsevier – reference: XiaoJRBoundary element analysis of unilateral supported Reissner plates on elastic foundationsComput Mech200112711010.1007/s0046600002071042.74056 – reference: Wayne ChenWJane WangQA numerical model for the point contact of dissimilar materials considering tangential tractionsMech Mater20084093694810.1016/j.mechmat.2008.06.002 – reference: GarridoJALorenzanaAEnriched beam model for slender prismatic solids in contact with a rigid foundationEng Anal Bound Elem199842129530310.1016/S0955-7997(98)00018-6 – reference: BrebbiaCATellesJCFWrobelLCBoundary element techniques1984BerlinSpringer17723610.1007/978-3-642-48860-30556.73086 – reference: ZhangSLiXRanRSelf-adaptive projection and boundary element methods for contact problems with Tresca frictionCommun Nonlinear Sci Numer Simul20186872386005610.1016/j.cnsns.2018.05.001 – reference: GimperleinHMeyerFÖzdemirCStephanEPTime domain boundary elements for dynamic contact problemsComput Methods Appl Mech Eng2018333147175377189110.1016/j.cma.2018.01.025 – reference: Winkler E. Die Lehre von der Elasticitaet und Festigkeit: mit besonderer Rücksicht auf ihre Anwendung in der Technik, für polytechnische Schulen, Bauakademien, Ingenieure, Maschinenbauer, Architecten, etc. Dominicius; 1868. – reference: CostaJABrebbiaCAOn the reduction of domain integrals to the boundary for the BEM formulation of plates on elastic foundationEng Anal19862312312610.1016/0264-682X(86)90045-6 – reference: KalkerJJVan RandenYA minimum principle for frictionless elastic contact with application to non-Hertzian half-space contact problemsJ Eng Math19726219320635949810.1007/BF015351020243.73043 – reference: Panahandeh-ShahrakiDShahidiARMirdamadiHRVaseghiONonlinear analysis of uni-lateral buckling for cylindrical panels on tensionless foundationThin-Walled Struct20136210911710.1016/j.tws.2012.05.020 – reference: StanleyHMKatoTAn FFT-based method for rough surface contactJ Tribol1997119348148510.1115/1.2833523 – reference: TsaiNWestmannRABeam on tensionless foundationJ Eng Mech196793112 – reference: ZhangLZhaoMNew method for a beam resting on a tensionless and elastic–plastic foundation subjected to arbitrarily complex loadsInt J Geomech2015416 – reference: BalciMNDagSDynamic frictional contact problems involving elastic coatingsTribol Int2018124709210.1016/j.triboint.2018.03.033 – reference: ZhongJFuYChenYLiYAnalysis of nonlinear dynamic responses for functionally graded beams resting on tensionless elastic foundation under thermal shockCompos Struct201614227227710.1016/j.compstruct.2016.01.096 – reference: AttarMKarrechARegenauer-LiebKNon-linear analysis of beam-like structures on unilateral foundations: a lattice spring modelInt J Solids Struct201688–8919221410.1016/j.ijsolstr.2016.03.0071406.74370 – reference: González R, Sánchez L, Vallepuga J, Alfonso J. Solving linear systems of equations from BEM codes. In: International joint conference SOCO’13-CISIS’13-ICEUTE’13. Springer; 2014. p. 81–90 – reference: SfantosGKAliabadiMHApplication of BEM and optimization technique to wear problemsInt J Solids Struct2006433626364210.1016/j.ijsolstr.2005.09.0041121.74439 – reference: AlonsoPGarrido GarcíaJABEM applied to 2D thermoelastic contact problems including conduction and forced convection in interstitial zonesEng Anal Bound Elem199531524925910.1016/0955-7997(95)00029-N – reference: YastrebovVAAnciauxGMolinariJ-FFrom infinitesimal to full contact between rough surfaces: evolution of the contact areaInt J Solids Struct2015528310210.1016/j.ijsolstr.2014.09.019 – reference: CostaJAJrBrebbiaCAThe boundary element method applied to plates on elastic foundationsEng Anal198542 – reference: ZhongB-DYanFLvJ-HContinuous–discontinuous hybrid boundary node method for frictional contact problemsEng Anal Bound Elem2018871926374002710.1016/j.enganabound.2017.11.0071403.74270 – reference: ZhangSLiXA self-adaptive projection method for contact problems with the BEMAppl Math Model201855145159373985010.1016/j.apm.2017.10.022 – reference: HartmannFThe Somigliana identity on piecewise smooth surfacesJ Elast.198111440342363762310.1007/BF000580820487.73014 – reference: DargushGFSoomAContact modeling in boundary element analysis including the simulation of thermomechanical wearTribol Int201610036037010.1016/j.triboint.2016.04.001 – reference: Garrido JA. The contact problem in elasticity by integral equations. Ph.D., Universidad Politécnica de las Palmas; 1986. – reference: KatzCWernerHImplementation of nonlinear boundary conditions in finite elements analysisComput Struct198215329930410.1016/0045-7949(82)90020-70486.73067 – reference: GarridoJAFocesAParisFBEM applied to receding contact problems with frictionMath Comput Model19913–51514315310.1016/0895-7177(91)90060-K0725.73081 – reference: ShuXZhangJHanLDongYA surface-to-surface scheme for 3D contact problems by boundary face methodEng Anal Bound Elem2016702330353064710.1016/j.enganabound.2016.05.0071403.74063 – reference: WeitsmanYOn foundations that react in compression onlyJ Appl Mech19704370218.73072 – reference: PolonskyIAKeerLMA numerical method for solving rough contact problems based on the multi-level multi-summation and conjugate gradient techniquesWear199923120621910.1016/S0043-1648(99)00113-1 – reference: KalkerJJNumerical calculation of the elastic field in a half-spaceCommun Appl Numer Methods1986240141010.1002/cnm.16300204120592.73116 – reference: Al-HosaniKA non-singular fundamental solution for boundary element analysis of thick plates on Winkler foundation under generalized loadingComput Struct200131792767278010.1016/S0045-7949(01)00100-6 – reference: IoakimidisNIDerivation of conditions of complete contact for a beam on a tensionless Winkler elastic foundation with MathematicaMech Res Commun201672647310.1016/j.mechrescom.2016.01.007 – reference: RashedYFAliabadiMHBrebbiaCAThe boundary element method for thick plates on a winkler foundationInt J Numer Methods Eng1998411435146210.1002/(SICI)1097-0207(19980430)41:8<1435::AID-NME345>3.0.CO;2-O0907.73075 – reference: EspinosaJVMediavillaAFBoundary element method applied to three dimensional thermoelastic contactEng Anal Bound Elem201263692893310.1016/j.enganabound.2011.12.0101351.74142 – reference: Espinosa JV. 3D thermoelastic contact problem without friction analysis using BEM. Microelectronic application, Ph.D., Universidad de Valladolid; 2009. – reference: Mediavilla AF. Tridimensional elastic contact problem by boundary integrals. Ph.D., Universidad de Valladolid; 1991. – reference: CouchauxMHjiajMRyanIEnriched beam model for slender prismatic solids in contact with a rigid foundationEng Anal201593181190 – reference: González R, Sánchez-González L, Vallepuga J, Ubero I. Parallel performance of the boundary element method in thermoelastic contact problems. In: International joint conference SOCO’17-CISIS’17-ICEUTE’17. Springer; 2017. p. 524–32 – reference: ParisFFocesAGarridoJAApplication of boundary element method to solve three-dimensional elastic contact problems without frictionComput Struct199243193010.1016/0045-7949(92)90076-C0779.73079 – reference: TianXBhushanBA numerical three-dimensional model for the contact of rough surfaces by variational principleJ Tribol19961181334210.1115/1.2837089 – volume: 6 start-page: 928 issue: 36 year: 2012 ident: 73_CR42 publication-title: Eng Anal Bound Elem doi: 10.1016/j.enganabound.2011.12.010 – volume: 62 start-page: 109 year: 2013 ident: 73_CR15 publication-title: Thin-Walled Struct doi: 10.1016/j.tws.2012.05.020 – ident: 73_CR2 – volume: 1 start-page: 1 issue: 27 year: 2001 ident: 73_CR7 publication-title: Comput Mech doi: 10.1007/s004660000207 – volume: 40 start-page: 936 year: 2008 ident: 73_CR28 publication-title: Mech Mater doi: 10.1016/j.mechmat.2008.06.002 – volume: 4 start-page: 16 year: 2015 ident: 73_CR13 publication-title: Int J Geomech – ident: 73_CR38 – volume: 2 start-page: 123 issue: 3 year: 1986 ident: 73_CR6 publication-title: Eng Anal doi: 10.1016/0264-682X(86)90045-6 – volume: 56 start-page: 104 year: 2014 ident: 73_CR16 publication-title: Mech Res Commun doi: 10.1016/j.mechrescom.2013.12.007 – volume: 55 start-page: 145 year: 2018 ident: 73_CR31 publication-title: Appl Math Model doi: 10.1016/j.apm.2017.10.022 – volume: 260 start-page: 1119 year: 2006 ident: 73_CR20 publication-title: Wear doi: 10.1016/j.wear.2005.07.020 – volume: 11 start-page: 403 issue: 4 year: 1981 ident: 73_CR46 publication-title: J Elast. doi: 10.1007/BF00058082 – volume: 52 start-page: 83 year: 2015 ident: 73_CR24 publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2014.09.019 – volume: 93 start-page: 1 year: 1967 ident: 73_CR9 publication-title: J Eng Mech – volume: 41 start-page: 1435 year: 1998 ident: 73_CR8 publication-title: Int J Numer Methods Eng doi: 10.1002/(SICI)1097-0207(19980430)41:8<1435::AID-NME345>3.0.CO;2-O – volume: 47 start-page: 2600 year: 2010 ident: 73_CR18 publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2010.05.021 – volume: 70 start-page: 23 year: 2016 ident: 73_CR32 publication-title: Eng Anal Bound Elem doi: 10.1016/j.enganabound.2016.05.007 – volume: 4 start-page: 37 year: 1970 ident: 73_CR10 publication-title: J Appl Mech – volume: 231 start-page: 206 year: 1999 ident: 73_CR22 publication-title: Wear doi: 10.1016/S0043-1648(99)00113-1 – volume: 43 start-page: 3626 year: 2006 ident: 73_CR19 publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2005.09.004 – volume: 3–5 start-page: 143 issue: 15 year: 1991 ident: 73_CR39 publication-title: Math Comput Model doi: 10.1016/0895-7177(91)90060-K – volume: 124 start-page: 70 year: 2018 ident: 73_CR33 publication-title: Tribol Int doi: 10.1016/j.triboint.2018.03.033 – volume: 333 start-page: 147 year: 2018 ident: 73_CR34 publication-title: Comput Methods Appl Mech Eng doi: 10.1016/j.cma.2018.01.025 – volume: 4 start-page: 2 year: 1985 ident: 73_CR5 publication-title: Eng Anal – volume: 72 start-page: 64 year: 2016 ident: 73_CR12 publication-title: Mech Res Commun doi: 10.1016/j.mechrescom.2016.01.007 – volume: 87 start-page: 19 year: 2018 ident: 73_CR30 publication-title: Eng Anal Bound Elem doi: 10.1016/j.enganabound.2017.11.007 – volume-title: Elastic analysis of soil-foundation interaction year: 2013 ident: 73_CR1 – volume: 6 start-page: 193 issue: 2 year: 1972 ident: 73_CR26 publication-title: J Eng Math doi: 10.1007/BF01535102 – ident: 73_CR47 – ident: 73_CR41 – volume: 2 start-page: 401 year: 1986 ident: 73_CR27 publication-title: Commun Appl Numer Methods doi: 10.1002/cnm.1630020412 – volume: 68 start-page: 72 year: 2018 ident: 73_CR29 publication-title: Commun Nonlinear Sci Numer Simul doi: 10.1016/j.cnsns.2018.05.001 – volume: 31 start-page: 2767 issue: 79 year: 2001 ident: 73_CR4 publication-title: Comput Struct doi: 10.1016/S0045-7949(01)00100-6 – ident: 73_CR43 doi: 10.1007/978-3-319-01854-6_9 – volume: 100 start-page: 360 year: 2016 ident: 73_CR21 publication-title: Tribol Int doi: 10.1016/j.triboint.2016.04.001 – volume: 4 start-page: 295 issue: 21 year: 1998 ident: 73_CR37 publication-title: Eng Anal Bound Elem doi: 10.1016/S0955-7997(98)00018-6 – volume: 43 start-page: 19 year: 1992 ident: 73_CR40 publication-title: Comput Struct doi: 10.1016/0045-7949(92)90076-C – volume: 88–89 start-page: 192 year: 2016 ident: 73_CR17 publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2016.03.007 – ident: 73_CR44 doi: 10.1007/978-3-319-67180-2_51 – ident: 73_CR36 – volume: 142 start-page: 272 year: 2016 ident: 73_CR14 publication-title: Compos Struct doi: 10.1016/j.compstruct.2016.01.096 – volume: 3 start-page: 249 issue: 15 year: 1995 ident: 73_CR35 publication-title: Eng Anal Bound Elem doi: 10.1016/0955-7997(95)00029-N – volume: 93 start-page: 181 year: 2015 ident: 73_CR11 publication-title: Eng Anal – volume: 15 start-page: 299 issue: 3 year: 1982 ident: 73_CR3 publication-title: Comput Struct doi: 10.1016/0045-7949(82)90020-7 – volume: 118 start-page: 33 issue: 1 year: 1996 ident: 73_CR25 publication-title: J Tribol doi: 10.1115/1.2837089 – volume: 119 start-page: 481 issue: 3 year: 1997 ident: 73_CR23 publication-title: J Tribol doi: 10.1115/1.2833523 – start-page: 177 volume-title: Boundary element techniques year: 1984 ident: 73_CR45 doi: 10.1007/978-3-642-48860-3 |
| SSID | ssj0020382 |
| Score | 2.1524043 |
| Snippet | This work presents a numerical methodology for modeling the Winkler supports and nonlinear conditions by proposing new boundary conditions. For the boundary... |
| SourceID | crossref springer |
| SourceType | Enrichment Source Index Database Publisher |
| StartPage | 230 |
| SubjectTerms | Classical Mechanics Engineering Surfaces and Interfaces Theoretical and Applied Mechanics Thin Films |
| Title | Winkler Support Model and Nonlinear Boundary Conditions Applied to 3D Elastic Contact Problem Using the Boundary Element Method |
| URI | https://link.springer.com/article/10.1007/s10338-018-00073-4 |
| Volume | 32 |
| WOSCitedRecordID | wos000462442800008&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVAVX databaseName: SpringerLINK Contemporary 1997-Present customDbUrl: eissn: 1860-2134 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0020382 issn: 0894-9166 databaseCode: RSV dateStart: 20060301 isFulltext: true titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22 providerName: Springer Nature |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LSwMxEA5aPejBt1hfzMGbBjbNPrJHrS0etBTU2tuSZLMglFa2q-DJv-4ku2tbkILeZydLZpJ8wzw-Qi4iLRRGFSn1JVfUjzJGlfYMjZUKhAk0Cx3X4eA-6vXEcBj3q6awaV3tXqck3U091-yG4RSGvoK6_BL1V8laYKfN2Bj9cfATZnncUUR5IvbxKIdh1Srzu47F52gxF-qemO72_35uh2xVkBKuSx_YJStmvEc25wYN7pOvF9Q5MjlYEk8E3GAp0EYgxyn0ylkZMocbx7CUf0J7YvPY1h-hAqlQTIDfQgehNi5iBQqpC-iXbDTg6g4AoeRMR6csS4cHx1B9QJ67naf2Ha2oF6huxaygmrcUTznXKVpYIGaKfYRaCs3IpPYk4gJjMBgJVOZJT6A3hhmCBSXTzN4JUvFD0hhPxuaIgNAqiFJPh5ozPxIoo5UI0yBUEm8DkTUJqy2Q6GouuaXHGCWzicp2cxPc3MRtbuI3yeXPN2_lVI6l0le10ZLqhE6XiB__TfyEbCCIchkmxk5Jo8jfzRlZ1x_F6zQ_d675DZbN3lU |
| linkProvider | Springer Nature |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1bS8MwFA46BfXBuzivefBNA-3SS_qoc2PiVgbO6VtJ0hSE0UlXBZ_8656k7S4gA30_PSk5J8l3OJcPoStfMgFRRUwcTgVx_MQmQlqKBEK4TLnS9gzX4bDrhyF7fQ36ZVPYpKp2r1KS5qaea3aDcApCX0ZMfok4q2jN0TQ7OkZ_Gk7DLIsaiiiLBQ4cZc8rW2V-17H4HC3mQs0T097538_tou0SUuLbwgf20IpK99HW3KDBA_T9AjpHKsOaxBMAN9YUaCPM0xiHxawMnuE7w7CUfeHmWOextT_iEqTifIzpPW4B1IZFtEDOZY77BRsNNnUHGKDkTEerKEvHPcNQfYie261Bs0NK6gUiG4GdE0kbgsaUyhgszAAzBQ5ALQFmtLm0OOACpSAYcUVicYuBN3oJgAXB40TfCVzQI1RLx6k6RphJ4fqxJT1JwVYMZKRgXux6gsNtwJI6sisLRLKcS67pMUbRbKKy3twINjcymxs5dXQ9_ea9mMqxVPqmMlpUntDJEvGTv4lfoo3OoNeNug_h4ynaBEBlsk22fYZqefahztG6_MzfJtmFcdMfC2nhOQ |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1bS8MwFA46RfTBuzivefBNw5qll_RRd0FxluFl7q0kaQvC6EZXBZ_8656k3UWQgfh-mpRzTpLvcC4fQhee4hKiiojYgkliewklUlkx8aV0eOwo6hquw17HCwLe7_vduS5-U-0-SUkWPQ16SlOa10ZRUptrfIPQCsJgTkyuidjLaMWGPXVR1-NTbxpyWczQRVnct-FYu27ZNvP7Gj-fpp95UfPctLf-_6PbaLOEmvi68I0dtBSnu2hjbgDhHvp6hfUHcYY1uScAcayp0QZYpBEOihkaIsM3hnkp-8SNoc5vaz_FJXjF-RCzJm4BBIdNtEAuVI67BUsNNvUIGCDmbI1WUa6OHwxz9T56abeeG7ekpGQgqu7TnChWlyxiTEVgeQ5YyrcBgkkwLxXKEoAX4hiCFEcmlrA4eKmbAIiQIkr0XSEkO0CVdJjGhwhzJR0vspSrGLU9DjJKcjdyXCngluBJFdGJNUJVzivXtBmDcDZpWSs3BOWGRrmhXUWX029GxbSOhdJXEwOG5ckdLxA_-pv4OVrrNtth5y64P0brgLNMEorSE1TJs_f4FK2qj_xtnJ0Zj_0Gf-LqHQ |
| 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=Winkler+Support+Model+and+Nonlinear+Boundary+Conditions+Applied+to+3D+Elastic+Contact+Problem+Using+the+Boundary+Element+Method&rft.jtitle=Acta+mechanica+solida+Sinica&rft.au=Vallepuga-Espinosa%2C+J.&rft.au=S%C3%A1nchez-Gonz%C3%A1lez%2C+Lidia&rft.au=Ubero-Mart%C3%ADnez%2C+Iv%C3%A1n&rft.date=2019-04-11&rft.issn=0894-9166&rft.eissn=1860-2134&rft.volume=32&rft.issue=2&rft.spage=230&rft.epage=248&rft_id=info:doi/10.1007%2Fs10338-018-00073-4&rft.externalDBID=n%2Fa&rft.externalDocID=10_1007_s10338_018_00073_4 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0894-9166&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0894-9166&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0894-9166&client=summon |