Simulation of frictional dissipation under biaxial tangential loading with the method of dimensionality reduction

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dc.contributor.authorDimaki, Andrey V.
dc.contributor.authorPohrt, Roman
dc.contributor.authorPopov, Valentin L.
dc.date.accessioned2020-06-08T06:35:20Z
dc.date.available2020-06-08T06:35:20Z
dc.date.issued2017
dc.description.abstractThe paper is concerned with the contact between the elastic bodies subjected to a constant normal load and a varying tangential loading in two directions of the contact plane. For uni-axial in-plane loading, the Cattaneo-Mindlin superposition principle can be applied even if the normal load is not constant but varies as well. However, this is generally not the case if the contact is periodically loaded in two perpendicular in-plane directions. The applicability of the Cattaneo-Mindlin superposition principle guarantees the applicability of the method of dimensionality reduction (MDR) which in the case of a uni-axial in-plane loading has the same accuracy as the Cattaneo-Mindlin theory. In the present paper we investigate whether it is possible to generalize the procedure used in the MDR for bi-axial in-plane loading. By comparison of the MDR-results with a complete three-dimensional numeric solution, we arrive at the conclusion that the exact mapping is not possible. However, the inaccuracy of the MDR solution is on the same order of magnitude as the inaccuracy of the Cattaneo-Mindlin theory itself. This means that the MDR can be also used as a good approximation for bi-axial in-plane loading.en
dc.identifier.eissn2335-0164
dc.identifier.issn0354-2025
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/11272
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-10160
dc.language.isoen
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.ddc600 Technik, Technologiede
dc.subject.otherfrictionen
dc.subject.otherdissipationen
dc.subject.othertangential contacten
dc.subject.otherbiaxial in-plane loadingen
dc.subject.othercircular loadingen
dc.subject.otherCattaneoen
dc.subject.otherMindlinen
dc.subject.otherMDRen
dc.titleSimulation of frictional dissipation under biaxial tangential loading with the method of dimensionality reductionen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.doi10.22190/FUME170503007D
dcterms.bibliographicCitation.issue2
dcterms.bibliographicCitation.journaltitleFacta Universitatis, Series: Mechanical Engineeringen
dcterms.bibliographicCitation.originalpublishernameUniversity of Nišen
dcterms.bibliographicCitation.originalpublisherplaceNišen
dcterms.bibliographicCitation.pageend306
dcterms.bibliographicCitation.pagestart295
dcterms.bibliographicCitation.volume15
tub.accessrights.dnbfree
tub.affiliationFak. 5 Verkehrs- und Maschinensysteme::Inst. Mechanik::FG Systemdynamik und Reibungsphysikde
tub.affiliation.facultyFak. 5 Verkehrs- und Maschinensystemede
tub.affiliation.groupFG Systemdynamik und Reibungsphysikde
tub.affiliation.instituteInst. Mechanikde
tub.publisher.universityorinstitutionTechnische Universität Berlinde

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