Continuous and discontinuous contact problem of a functionally graded layer resting on a rigid foundation

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dc.authorid56741397000
dc.authorid56094536400
dc.authorid6701577981
dc.contributor.authorAdıyaman G.
dc.contributor.authorÖner E.
dc.contributor.authorBirinci A.
dc.date.accessioned20.04.201910:49:12
dc.date.accessioned2019-04-20T21:43:15Z
dc.date.available20.04.201910:49:12
dc.date.available2019-04-20T21:43:15Z
dc.date.issued2017
dc.departmentBayburt Üniversitesien_US
dc.description.abstractIn this study, the continuous and discontinuous contact problem of a functionally graded (FG) layer resting on a rigid foundation is considered. The top of the FG layer is subjected to normal tractions over a finite segment. The graded layer is modeled as a non-homogenous medium with a constant Poissons’ ratio and exponentially varying shear modules and density. For continuous contact, the problem was solved analytically using plane elasticity and integral transform techniques. The critical load that causes first separation and contact pressures is investigated for various material properties and loadings. The problem reduced to a singular integral equation using plane elasticity and integral transform techniques in case of discontinuous contact. The obtained singular integral equation is solved numerically using Gauss–Jacobi integral formulation, and an iterative scheme is employed to obtain the correct separation distance. The separation distance and contact pressures between the FG layer and the foundation are analyzed for various material properties and loading. The results are shown in Tables and Figures. It is seen that decreasing stiffness and density at the top of the layer result in an increment in both critical load in case of continuous contact and separation distance in case of discontinuous contact. © 2017, Springer-Verlag Wien.en_US
dc.identifier.doi10.1007/s00707-017-1871-y
dc.identifier.endpage3017
dc.identifier.issn0001-5970
dc.identifier.issue9
dc.identifier.scopus2-s2.0-85019589454en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage3003
dc.identifier.urihttps://dx.doi.org/10.1007/s00707-017-1871-y
dc.identifier.urihttps://hdl.handle.net/20.500.12403/472
dc.identifier.volume228
dc.identifier.wosWOS:000408224600005en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer-Verlag Wien
dc.relation.ispartofActa Mechanicaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectElasticity
dc.subjectIterative methods
dc.subjectContact pressures
dc.subjectFunctionally graded
dc.subjectFunctionally graded layers
dc.subjectIntegral transform technique
dc.subjectIterative schemes
dc.subjectJacobi integrals
dc.subjectSeparation distances
dc.subjectSingular integral equations
dc.subjectIntegral equations
dc.subjectElasticity
dc.subjectIterative methods
dc.subjectContact pressures
dc.subjectFunctionally graded
dc.subjectFunctionally graded layers
dc.subjectIntegral transform technique
dc.subjectIterative schemes
dc.subjectJacobi integrals
dc.subjectSeparation distances
dc.subjectSingular integral equations
dc.subjectIntegral equations
dc.titleContinuous and discontinuous contact problem of a functionally graded layer resting on a rigid foundationen_US
dc.typeArticleen_US

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