Dynamic contact with normal compliance wear and discontinuous friction coefficient

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dc.contributor.authorShillor, Meir
dc.date.accessioned2016-03-30T15:53:03Z
dc.date.available2016-03-30T15:53:03Z
dc.date.issued2002-08
dc.description.abstractWe apply the recent theory of evolution inclusions forset-valued pseudomonotone maps, developed in Kuttler and Shillor[Commun.Contemp.Math.,1(1999),pp.87–123]to the problem of dynamic frictional contact with normal compliance and wear. The friction coefficient is assumed to be slip rate dependent, and may be continuous, or discontinuous in the form of a graph with a vertical segment at the origin, representing the transition from the static to the dynamic value.The wear of the contacting surfaces is modeled by the Archard law.We prove the existence of a weak solution for the problem. We establish the uniqueness of the weak solution in the case when the friction coefficient is continuous. We also show that the problem with prescribed wear depends continuously on the wear.en_US
dc.identifier.citationKuttler K.L., and Shillor M. (2002). Dynamic contact with normal compliance wear and discontinuous friction coefficient. SIAM Journal on Mathematical Analysis, 34(1), 1-27.en_US
dc.identifier.issn0036-1410
dc.identifier.urihttp://hdl.handle.net/10323/4216
dc.language.isoen_USen_US
dc.subjectDynamic frictional contacten_US
dc.subjectSet-valued inclusionsen_US
dc.subjectExistence and uniquenessen_US
dc.subjectDiscontinuous friction coefficienten_US
dc.subjectNormal complianceen_US
dc.subjectWearen_US
dc.titleDynamic contact with normal compliance wear and discontinuous friction coefficienten_US
dc.typeArticleen_US

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