Analysis of stress and deformation of an exponentially graded viscoelastic coated half plane under indentation by a rigid flat punch indenter tip

ÇÖMEZ İ.

MECHANICS OF TIME-DEPENDENT MATERIALS, vol.28, no.3, pp.1271-1289, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 28 Issue: 3
  • Publication Date: 2024
  • Doi Number: 10.1007/s11043-024-09682-8
  • Journal Name: MECHANICS OF TIME-DEPENDENT MATERIALS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC
  • Page Numbers: pp.1271-1289
  • Keywords: Coating, Dynamic contact problem, Excitation frequency, Singular integral equation, Vertical vibration, Viscoelastic materials
  • Karadeniz Technical University Affiliated: Yes

Abstract

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.