Model and analysis for quasistatic frictional contact of a 2D elastic bar

dc.contributor.authorSofonea, Mircea
dc.contributor.authorShillor, Meir
dc.date.accessioned2022-02-02T19:54:56Z
dc.date.available2022-02-02T19:54:56Z
dc.date.issued2018-05-08
dc.description.abstractThis article constructs and analyzes a mathematical model that describes the quasistatic evolution of a 2D elastic bar that may come in frictional contact with a deformable foundation. The model and the underlying mechanical assumptions are described in detail and so are the assumptions on the problem data. The variational formulation of the problem is derived and, since friction is taken into account, it is in the form of an evolutionary variational inequality for the displacement field. Existence of solutions for the problem is established by using arguments of evolutionary variational inequalities.
dc.description.departmentMathematics
dc.formatText
dc.format.extent19 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationSofonea, M., & Shillor, M. (2018). Model and analysis for quasistatic frictional contact of a 2D elastic bar. <i>Electronic Journal of Differential Equations, 2018</i>(107), pp. 1-19.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15274
dc.language.isoen
dc.publisherTexas 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, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subject2D bar
dc.subjectFrictional contact
dc.subjectNormal compliance
dc.subjectWeak solution
dc.subjectVariational inequality
dc.titleModel and analysis for quasistatic frictional contact of a 2D elastic bar
dc.typeArticle

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