Continuous contact problem of a functionally graded layer resting on an elastic half-plane

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dc.authorid56094536400
dc.authorid56741397000
dc.authorid6701577981
dc.contributor.authorÖner E.
dc.contributor.authorAdiyaman G.
dc.contributor.authorBirinci A.
dc.date.accessioned20.04.201910:49:12
dc.date.accessioned2019-04-20T21:43:24Z
dc.date.available20.04.201910:49:12
dc.date.available2019-04-20T21:43:24Z
dc.date.issued2017
dc.departmentBayburt Üniversitesien_US
dc.description.abstractIn this study, the continuous contact problem of a functionally graded layer resting on an elastic half-plane and loaded by a rigid rectangular stamp is examined. The problem is solved assuming that the functionally graded (FG) layer is isotropic and the shear modulus and mass density vary exponentially throughout the layer's thickness. However, the body force of the elastic half-plane is neglected. In addition, it is assumed that all surfaces are frictionless and only compressive stress is transferred along the contact surfaces. The mathematical problem is reduced to a singular integral equation in which the contact stress under the rigid stamp is unknown using the Fourier integral transform and boundary conditions related to the problem. This singular integral equation is solved numerically using the Gauss-Chebyshev integration formula. The dimensionless contact stress under the rigid stamp, the initial separation loads and the initial separation distances between the FG layer and the elastic half-plane are obtained for various dimensionless quantities. Copyright © 2017 by IPPT PAN.en_US
dc.identifier.endpage73
dc.identifier.issn0373-2029
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85015815044en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage53
dc.identifier.urihttps://hdl.handle.net/20.500.12403/538
dc.identifier.volume69
dc.identifier.wosWOS:000396624000003en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherPolish Academy of Sciences
dc.relation.ispartofArchives of Mechanicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectContact problem
dc.subjectFunctionally graded layer
dc.subjectInitial separation distance
dc.subjectInitial separation load
dc.subjectSingular integral equation
dc.subjectContact problem
dc.subjectFunctionally graded layer
dc.subjectInitial separation distance
dc.subjectInitial separation load
dc.subjectSingular integral equation
dc.titleContinuous contact problem of a functionally graded layer resting on an elastic half-planeen_US
dc.typeArticleen_US

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