Contact problem between a rigid punch and a functionally graded orthotropic layer resting on a Pasternak foundation

dc.authorid0000-0003-2669-6459
dc.contributor.authorÇömez, İsa
dc.contributor.authorOmurtag, Mehmet Hakkı
dc.date.accessioned2021-10-11T11:42:06Z
dc.date.available2021-10-11T11:42:06Z
dc.date.issued2021
dc.departmentİstanbul Medipol Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, İnşaat Mühendisliği Bölümü
dc.description.abstractThe present work is a pioneering study on the contact mechanics including Pasternak foundation model. The context of this research is frictionless plane contact problem between a rigid punch and a functionally graded orthotropic layer lying on a Pasternak foundation in the limits of the linear elasticity theory. The layer is pressed by rigid cylindrical or flat punches that apply a concentrated force in the normal direction. The orthotropic material parameters are assumed to vary exponentially in the in-depth direction. Applying the Fourier integral transform technique and the boundary conditions of the problem, a singular integral equation is obtained, in which the contact stress and the contact width are unknowns. Using the Gauss-Chebyshev integration formula the singular integral equation is solved numerically. Effects of the Pasternak foundation parameters, material inhomogeneity, external load, punch radius or punch length on the contact stress, the contact width, the vertical displacements on the top and bottom surfaces of the layer, the subsurface and in-plane stresses are given.
dc.identifier.citationÇömez, İ. ve Omurtag, M. H. (2021). Contact problem between a rigid punch and a functionally graded orthotropic layer resting on a Pasternak foundation. Archive of Applied Mechanics, 91(1), 3937-3958. https://dx.doi.org/10.1007/s00419-021-01988-0
dc.identifier.doi10.1007/s00419-021-01988-0
dc.identifier.endpage3958
dc.identifier.issn0939-1533
dc.identifier.issn1432-0681
dc.identifier.issue9
dc.identifier.scopusqualityQ2
dc.identifier.startpage3937
dc.identifier.urihttps://dx.doi.org/10.1007/s00419-021-01988-0
dc.identifier.urihttps://hdl.handle.net/20.500.12511/8417
dc.identifier.volume91
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofArchive of Applied Mechanicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/embargoedAccess
dc.subjectContact Mechanics
dc.subjectOrthotropic Materials
dc.subjectFunctionally Graded Materials
dc.subjectPasternak Foundation
dc.subjectFourier Integral Transform
dc.subjectSingular Integral Equation
dc.titleContact problem between a rigid punch and a functionally graded orthotropic layer resting on a Pasternak foundation
dc.typeArticle

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