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    A comprehensive parametric study of contact behavior in functionally graded bilayer systems
    (Elsevier Science Inc, 2026) Oner, Erdal; Artar, Pinar Tugce
    An extensive body of research in contact mechanics has been conducted due to its broad relevance to numerous engineering systems of practical interest. The investigation of contact behavior in deformable bodies represents a major challenge in engineering, as it plays a crucial role in the performance of structural and mechanical systems. Due to its importance, the field has received considerable attention in the literature. The present study focuses on analyzing the contact problem of a two-layered system composed of a functionally graded orthotropic layer (FGOL) and a functionally graded isotropic layer (FGIL). The layered system is fully bonded to a rigid substrate (RS), and frictional effects are neglected. No bonding is assumed between the two layers. The system is subjected to loading through a flat-ended rigid indenter (FERI), and the body forces of both layers are incorporated into the formulation. In the solution of the contact problem, the condition of constant vertical displacement (and thus its zero derivative) under the FERI is defined as the boundary condition; it is subsequently reduced to a singular integral equation through the application of Fourier integral transform techniques. This integral equation is subsequently solved numerically by applying the Gauss-Chebyshev integration formula. A comprehensive parametric study is conducted with respect to different material configurations and various dimensionless parameters, providing detailed insight into the mechanical response of the functionally graded layered system.
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    An analytical study of contact mechanics in layered orthotropic-isotropic media with functional grading
    (Taylor & Francis Inc, 2025) Oner, Erdal; Artar, Pinar Tugce
    Contact mechanics has played a central role in engineering progressing from early practices in ancient civilizations to the pioneering experimental studies of early scientists and more recently to advanced computational approaches. In modern research, functionally graded materials have gained increasing attention as their continuously varying properties enable the tailoring of stress fields, improvement of resistance to thermal and mechanical loads, and enhancement of the performance and reliability of layered systems.This study addresses the continuous contact problem of a two-layered medium composed of a functionally graded orthotropic layer (FGOL) placed over a functionally graded isotropic layer (FGIL). A rigid cylindrical punch applies a static concentrated load on the FGOL, while the lower surface of the FGIL is bonded to a rigid foundation. The layers are assumed to be unbonded at their interface, and frictionless contact conditions are imposed. To capture the effect of anisotropy, actual orthotropic materials are employed in the FGOL. An exponential through-thickness variation is adopted for the FGOL stiffness coefficients and density, and for the FGIL shear modulus and density. Under plane strain conditions, the contact formulation is reduced to a singular integral equation by applying the relevant boundary conditions. The equation is solved numerically using Gauss-Chebyshev integration techniques. The results provide detailed evaluations of contact lengths, stress distributions, critical load factors, and initial separation points as functions of selected nondimensionalized parameters and different orthotropic material choices, thereby contributing to a deeper understanding of the mechanics of graded layered systems.