Akademik Veri Yönetim Sistemi
ZAMM ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND MECHANIK, cilt.105, sa.12, ss.1-25, 2025 (SCI-Expanded, Scopus)
In this study, the contact problem of a functionally graded bilayer
loaded by two rigid flat blocks has been investigated according to the
theory of elasticity. Concentrated loads are transferred to the layers
via rigid blocks. Body forces are taken into account and all surfaces
are assumed to be frictionless. Stress and displacement expressions of
the FG layers have been obtained with the Fourier integral transforms.
When boundary conditions are applied for the continuous contact problem,
the problem reduces to a system of two singular integral equations
where the contact stresses are unknown. The numerical solution of the
integral equations has been made by the Gauss-Chebyshev integration
method and the unknown contact stresses have been obtained. The effect
of the material properties and geometrical parameters on the contact
stress under the blocks, the initial separation load and initial
separation distances have been obtained. The results obtained from the
analytical solution have been compared with a study in the literature.
In addition, the numerical solution of the problem is carried out with
the help of ANSYS program based on the finite element method and
compared with the analytical results.