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Dynamic contact problem for a viscoelastic orthotropic coated isotropic half plane

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Abstract

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.

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  1. Civil Engineering Department, Karadeniz Technical University, 61080, Ortahisar, Trabzon, Turkey

    İsa Çömez

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Çömez, İ. Dynamic contact problem for a viscoelastic orthotropic coated isotropic half plane. Acta Mech 233, 5241–5253 (2022). https://doi.org/10.1007/s00707-022-03366-5

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