Dynamic contact with Signorini's condition and slip rate dependent friction

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dc.contributor.authorKuttler, Kenneth
dc.contributor.authorShillor, Meir
dc.date.accessioned2021-04-26T15:46:23Z
dc.date.available2021-04-26T15:46:23Z
dc.date.issued2004-06-11
dc.description.abstractExistence of a weak solution for the problem of dynamic frictional contact between a viscoelastic body and a rigid foundation is established. Contact is modelled with the Signorini condition. Friction is described by a slip rate dependent friction coefficient and a nonlocal and regularized contact stress. The existence in the case of a friction coefficient that is a graph, which describes the jump from static to dynamic friction, is established, too. The proofs employ the theory of set-valued pseudomonotone operators applied to approximate problems and a priori estimates.
dc.description.departmentMathematics
dc.formatText
dc.format.extent21 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationKuttler, K., & Shillor, M. (2004). Dynamic contact with Signorini's condition and slip rate dependent friction. <i>Electronic Journal of Differential Equations, 2004</i>(83), pp. 1-21.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13437
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectDynamic contact
dc.subjectSignorini condition
dc.subjectSlip rate dependent friction
dc.subjectNonlocal friction
dc.subjectViscoelastic body
dc.subjectExistence
dc.titleDynamic contact with Signorini's condition and slip rate dependent friction
dc.typeArticle

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