Examining the contact problem of a functionally graded layer supported by an elastic half-plane with the analytical and numerical methods

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dc.authorid0000-0003-0407-1685en_US
dc.authorid0009-0002-1406-6302en_US
dc.authorid0000-0003-3290-2343en_US
dc.authorid0000-0001-7983-7265en_US
dc.authorid0000-0002-2558-2487en_US
dc.authorid0000-0002-5913-7699en_US
dc.contributor.authorYaylacı, Murat
dc.contributor.authorYaylı, Müjgen
dc.contributor.authorÖztürk, Şevval
dc.contributor.authorAy, Sevil
dc.contributor.authorÖzdemir, Mehmet Emin
dc.contributor.authorUzun Yaylacı, Ecren
dc.contributor.authorBirinci, Ahmet
dc.date.accessioned2024-12-05T08:32:37Z
dc.date.available2024-12-05T08:32:37Z
dc.date.issued2024
dc.departmentAÇÜ, Borçka Acarlar Meslek Yüksekokulu, Yapı Denetimi Bölümüen_US
dc.description.abstractThis study offers a comparative study of the analytical and numerical methods for investigating a contact problem. The contact problem comprises a functionally graded layer supported by a half-plane and loaded with a distributed load from the top surface. First, the analytical and numerical solutions to the problem are acquired by utilizing a theory of elasticity and finite element method, respectively. The problem is transformed into a system of integral equations in which the contact stress is an unknown function. The solution of the integral equation was achieved with Gauss–Jacobi integration formulation. The finite element model of the problem is created using ANSYS software, and the two-dimensional analysis of the problem is performed. Results were obtained from the samples for different material properties and loading conditions. The distributed load width and non-homogeneity parameters significantly impact on contact mechanics. The results indicate that the contact area and the contact stress obtained from finite element method (FEM) are close to the analytical results. As a result, acceptable error rates were obtained. Finally, this study provides evidence of a good agreement between the two methods.
dc.identifier.doi10.1002/mma.10129
dc.identifier.endpage10420en_US
dc.identifier.issn0170-4214
dc.identifier.issue12en_US
dc.identifier.scopusqualityQ1
dc.identifier.startpage10400en_US
dc.identifier.urihttp://dx.doi.org/10.1002/mma.10129
dc.identifier.urihttps://hdl.handle.net/11494/5111
dc.identifier.volume47en_US
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherJohn Wiley and Sons Ltden_US
dc.relation.ispartofMathematical Methods in the Applied Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.subjectContact Problemen_US
dc.subjectFinite Element Methoden_US
dc.subjectFunctionally Graded Layeren_US
dc.subjectTheory of Elasticityen_US
dc.titleExamining the contact problem of a functionally graded layer supported by an elastic half-plane with the analytical and numerical methodsen_US
dc.typeArticle

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