Continuous contact problem for two elastic layers resting on an elastic half-infinite plane

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dc.authorid56094536400
dc.authorid6701577981
dc.contributor.authorÖner E.
dc.contributor.authorBirinci A.
dc.date.accessioned20.04.201910:49:12
dc.date.accessioned2019-04-20T21:44:13Z
dc.date.available20.04.201910:49:12
dc.date.available2019-04-20T21:44:13Z
dc.date.issued2014
dc.departmentBayburt Üniversitesien_US
dc.description.abstractThe continuous contact problem for two elastic layers resting on an elastic half-infinite plane and loaded by means of a rigid stamp is presented. The elastic layers have different heights and elastic constants. An external load is applied to the upper elastic layer by means of a rigid stamp. The problem is solved under the assumptions that all surfaces are frictionless, body forces of elastic layers are taken into account, and only compressive normal tractions can be transmitted through the interfaces. General expressions of stresses and displacements are obtained by using the fundamental equations of the theory of elasticity and the integral transform technique. Substituting the stress and the displacement expressions into the boundary conditions, the problem is reduced to a singular integral equation, in which the function of contact stresses under the rigid stamp is unknown. The integral equation is solved numerically by making use of the appropriate Gauss-Chebyshev integration formula for circular and rectangular stamp profiles. The contact stresses under the rigid stamp, contact areas, initial separation loads, and initial separation distances between the two elastic layers and the lower-layer elastic half-infinite plane are obtained numerically for various dimensionless quantities and shown in graphics and tables. © 2014 Mathematical Sciences Publishers.en_US
dc.identifier.doi10.2140/jomms.2014.9.105
dc.identifier.endpage119
dc.identifier.issn1559-3959
dc.identifier.issue1
dc.identifier.scopus2-s2.0-84897459454en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage105
dc.identifier.urihttps://dx.doi.org/10.2140/jomms.2014.9.105
dc.identifier.urihttps://hdl.handle.net/20.500.12403/801
dc.identifier.volume9
dc.identifier.wosWOS:000335455500005en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMathematical Sciences Publishers
dc.relation.ispartofJournal of Mechanics of Materials and Structuresen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectContinuous contact
dc.subjectElastic layer
dc.subjectIntegral equation
dc.subjectRigid stamp
dc.subjectTheory of elasticity
dc.subjectHydroelasticity
dc.subjectElastic layers
dc.subjectFundamental equations
dc.subjectGeneral expression
dc.subjectIntegral transform technique
dc.subjectRigid stamp
dc.subjectSeparation distances
dc.subjectSingular integral equations
dc.subjectTheory of elasticity
dc.subjectIntegral equations
dc.subjectContinuous contact
dc.subjectElastic layer
dc.subjectIntegral equation
dc.subjectRigid stamp
dc.subjectTheory of elasticity
dc.subjectHydroelasticity
dc.subjectElastic layers
dc.subjectFundamental equations
dc.subjectGeneral expression
dc.subjectIntegral transform technique
dc.subjectRigid stamp
dc.subjectSeparation distances
dc.subjectSingular integral equations
dc.subjectTheory of elasticity
dc.subjectIntegral equations
dc.titleContinuous contact problem for two elastic layers resting on an elastic half-infinite planeen_US
dc.typeArticleen_US

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