Contact mechanics of functionally graded orthotropic layer under normal traction and gravity: an analytical perspective

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dc.contributor.authorOner, Erdal
dc.contributor.authorAl-Qado, Ahmed Wasfi Hasan
dc.date.accessioned2026-02-28T12:17:41Z
dc.date.available2026-02-28T12:17:41Z
dc.date.issued2024
dc.departmentBayburt Üniversitesi
dc.description.abstractContact mechanics is a complex and advanced field of engineering, with continuous research dedicated to modeling and examining contact problems in multilayered and multibody systems. Given that fatigue and fracture failures often result from contact loads, precise determination of subsurface stresses is crucial for the design of mechanical components. This study provides an exact analytical solution for the frictionless indentation of a functionally graded (FG) orthotropic layer by a rigid cylindrical punch. The FG orthotropic layer, which rests on a rigid, non-adhesive substrate, is treated as a nonhomogeneous medium with an orthotropic stress-strain relationship. Part of its top surface experiences normal tractions, while the rest remains traction-free. The analysis also incorporates the gravitational force affecting the FG orthotropic layer. Five distinct real orthotropic materials are used, each with individually graded stiffness constants in their principal directions, to define the FG orthotropic behavior of the material. The governing equations are formulated using the singular integral equation method and transformed into algebraic systems via the Gauss-Chebyshev integration technique. A comprehensive parametric study examines how variations in dimensionless punch radius, compressive force, inhomogeneity parameters, and body force influence contact widths, contact pressures, normal and shear stresses, critical load factor, and the initial point of interface separation.
dc.identifier.doi10.1007/s00419-024-02733-z
dc.identifier.issn0939-1533
dc.identifier.issn1432-0681
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85212073730
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1007/s00419-024-02733-z
dc.identifier.urihttps://hdl.handle.net/20.500.12403/5921
dc.identifier.volume95
dc.identifier.wosWOS:001372870300001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofArchive of Applied Mechanics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260218
dc.subjectFunctionally graded orthotropic material
dc.subjectContact problem
dc.subjectCritical load factor
dc.subjectInitial point of interface separation
dc.subjectRigid substrate
dc.titleContact mechanics of functionally graded orthotropic layer under normal traction and gravity: an analytical perspective
dc.typeArticle

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