MECHANICS OF TIME-DEPENDENT MATERIALS, cilt.28, sa.3, ss.1271-1289, 2024 (SCI-Expanded)
This paper solves the dynamic contact problem when a rigid flat punch indents into an exponentially graded (FG) viscoelastic coated homogeneous half-plane. A harmonic vertical force is applied to the FG coating, and the solution is obtained for the stress and displacement for both the FG viscoelastic coating and the half-plane using the Helmholtz functions and the Fourier integral transform technique. By applying specific boundary conditions, the contact mechanics problem is converted into a singular integral equation of the first kind. This equation is then solved numerically using the Gauss-Chebyshev integration formulas. The analysis provides detailed insights into how various parameters-such as external excitation frequency, loss factor ratio, Young's modulus ratio, density ratio, Poisson's ratio, indentation load, and punch length-affect the dynamic contact stress and dynamic in-plane stress.