Analytical approach to contact mechanics of functionally graded orthotropic layers with gravitational considerations

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dc.authoridONER, Erdal/0000-0001-7492-3754
dc.contributor.authorOner, Erdal
dc.contributor.authorAl-Qado, Ahmed Wasfi Hasan
dc.date.accessioned2024-10-04T18:48:15Z
dc.date.available2024-10-04T18:48:15Z
dc.date.issued2024
dc.departmentBayburt Üniversitesien_US
dc.description.abstractContact problems involving deformable bodies are widespread in both industrial and everyday situations. They have a crucial impact on structural and mechanical systems, which has led to significant efforts in modeling and numerical simulations. These efforts aim to improve understanding and optimization in various engineering applications. This study examines the contact problem involving a functionally graded (FG) orthotropic layer resting on a rigid foundation, without considering frictional influences. A point load is applied to the layer through a rigid punch on its top surface. Additionally, the gravitational effects of the FG orthotropic layer are considered in the analyses. Material parameters and density of the FG orthotropic layer are presumed to exhibit exponential variations along the vertical axis. The resolution of the problem involves deriving stress and displacement expressions through the application of elasticity theory and integral transformation techniques. By imposing the pertinent boundary conditions onto these expressions, a singular integral equation is formulated, wherein the contact stress under the punch remains unknown. Employing the Gauss-Chebyshev integration method, this integral equation is subsequently numerically solved, particularly for a flat punch profile. The outcomes of this investigation encompass the determination of contact stresses under the punch, the critical separation load, and the critical separation point-marking the initial separation between the FG orthotropic layer and the rigid foundation. Additionally, the analysis yields dimensionless representations of normal stresses along the symmetry axis within the FG orthotropic layer, as well as shear stresses along a designated section proximate to the symmetry axis. Furthermore, it provides insights into the normal stresses along the x axis at the bottom surface of the FG orthotropic layer, contingent upon various parameters and distinct orthotropic material compositions.en_US
dc.identifier.doi10.1007/s00707-024-04091-x
dc.identifier.issn0001-5970
dc.identifier.issn1619-6937
dc.identifier.scopus2-s2.0-85203977537en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1007/s00707-024-04091-x
dc.identifier.urihttp://hdl.handle.net/20.500.12403/2985
dc.identifier.wosWOS:001314169300002en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Wienen_US
dc.relation.ispartofActa Mechanicaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectViscoelastic Piezoelectric Materialsen_US
dc.subjectFrictional Receding Contacten_US
dc.subjectDiscontinuous Contacten_US
dc.subjectElastic Layeren_US
dc.subjectRigid Punchen_US
dc.subjectHalf-Planeen_US
dc.subjectInterface Separationen_US
dc.titleAnalytical approach to contact mechanics of functionally graded orthotropic layers with gravitational considerationsen_US
dc.typeArticleen_US

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