Investigation of the solution for discontinuous contact problem between a functionally graded (FG) layer and homogeneous half-space

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dc.authoridBirinci, Ahmet/0000-0002-5913-7699
dc.authoridONER, Erdal/0000-0001-7492-3754
dc.contributor.authorOner, Erdal
dc.contributor.authorBirinci, Ahmet
dc.date.accessioned2024-10-04T18:51:17Z
dc.date.available2024-10-04T18:51:17Z
dc.date.issued2020
dc.departmentBayburt Üniversitesien_US
dc.description.abstractIn this study, the discontinuous contact problem between a functionally graded (FG) layer, which is loaded symmetrically with point loadPthrough a rigid block, and a homogeneous half-space was solved using the theory of elasticity and integral transform techniques. The shear modulus and density of the layer addressed in the problem vary with an exponential function along with its height. The half-space is homogeneous, and no binder exists on the contact surface containing the FG layer. In the solution, the body force of the FG layer was considered, whereas that of the homogeneous half-space was neglected. The Poisson's ratios of both the FG layer and homogeneous half-space were assumed to remain constant. Additionally, all the surfaces addressed in the problem were assumed to be frictionless. Using the theory of elasticity and integral transform techniques, the discontinuous contact problem was reduced to two integral equations, wherein the contact stress under the rigid block and the slope of the separation, which occurred at the interface of the FG layer and homogeneous half-space, are unknown. These integral equations were solved numerically for the flat condition of the rigid block profile using the Gauss-Chebyshev integration formula. Consequently, the stress distributions, start-end points of the separation region, and separation displacements between the FG layer and homogeneous half-space were obtained for various dimensionless quantities.en_US
dc.identifier.doi10.1007/s00419-020-01750-y
dc.identifier.endpage2819en_US
dc.identifier.issn0939-1533
dc.identifier.issn1432-0681
dc.identifier.issue12en_US
dc.identifier.scopus2-s2.0-85089859693en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage2799en_US
dc.identifier.urihttps://doi.org/10.1007/s00419-020-01750-y
dc.identifier.urihttp://hdl.handle.net/20.500.12403/3451
dc.identifier.volume90en_US
dc.identifier.wosWOS:000564989700001en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofArchive of Applied Mechanicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDiscontinuous contact problemen_US
dc.subjectFunctionally graded layeren_US
dc.subjectRigid blocken_US
dc.subjectTheory of elasticityen_US
dc.titleInvestigation of the solution for discontinuous contact problem between a functionally graded (FG) layer and homogeneous half-spaceen_US
dc.typeArticleen_US

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