Convergences and numerical analysis of a contact problem with normal compliance and unilateral constraint

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dc.contributor.authorSouleiman, Yahyeh
dc.date.accessioned2023-08-18T13:57:07Z
dc.date.available2023-08-18T13:57:07Z
dc.date.issued2021-01-05
dc.description.abstractThis paper represents a continuation of a previous study on “Analysis of a Sliding Frictional Contact Problem with Unilateral Constraint”. This study considers a mathematical model which describes the equilibrium of an elastic body in frictional contact with a moving foundation. The contact is modeled with a multivalued normal compliance condition with unilateral constraints, associated to a sliding version of Coulomb’s law of dry friction. After a description of the model, the variational formulation was presented. Then, the dependence of the solution was studied with respect to the data and a convergence result was proven. Regularization method was also used to study the existence and uniqueness of the contact problem for which a convergence result was presented. Finally, a semidiscrete scheme was introduced for the numerical approximation of the sliding contact problem. Under certain solution regularity assumptions, an optimal order error estimate was deriveden_US
dc.description.sponsorshipUD College of Engineeringen_US
dc.identifier.issn2006-9731
dc.identifier.urihttp://hdl.handle.net/123456789/2037
dc.language.isoenen_US
dc.publisherAfrican Journal of Mathematics and Computer Science Researchen_US
dc.relation.ispartofseriesAfrican Journal of Mathematics and Computer Science Research;Vol. 14(1),
dc.subjectElastic materialen_US
dc.subjectfrictional contacten_US
dc.subjectnormal complianceen_US
dc.subjectunilateral constrainten_US
dc.subjectvariational formulationen_US
dc.subjectweak solutionen_US
dc.subjectregularization methoden_US
dc.subjectfinite elementen_US
dc.subjecterror estimateen_US
dc.subjectUD College of Engineeringen_US
dc.subjectCoE_Djiboutien_US
dc.subjectUniversité de Djiboutien_US
dc.subjectDjiboutien_US
dc.subjectEngineeringen_US
dc.titleConvergences and numerical analysis of a contact problem with normal compliance and unilateral constrainten_US
dc.typeArticleen_US
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