Dynamic contact problem for a viscoelastic orthotropic coated isotropic half plane

This paper presents an analytical method to study the dynamic contact response of an orthotropic viscoelastic coated half plane indented by a rigid flat punch that transmits a harmonic vertical force. The general stress and displacement expressions are derived using Helmholtz functions and integral transform technique. Using the boundary conditions of the dynamic contact problem, a Cauchy type singular integral equation is obtained and solved numerically based on the Gauss-Chebyshev integration formulas. The effects of the external excitation frequency, loss factor ratio, Young's modulus ratio, density ratio and Poisson's ratio on the dynamic contact stress and dynamic in-plane stress are investigated. The distributions of contact stress are smooth under a lower-frequency excitation, but oscillation of contact stress becomes evident under a high-frequency excitation.

Automated summary

This paper presents an analytical method for studying the dynamic contact response of an orthotropic viscoelastic coated half plane under the action of a rigid flat punch transmitting a harmonic vertical force. The general stress and displacement expressions are derived using Helmholtz functions and integral transform technique, and a Cauchy type singular integral equation is obtained and solved numerically. The effects of various factors on the dynamic contact stress and dynamic in-plane stress are investigated.