Dynamic contact problem for a viscoelastic orthotropic coated isotropic half plane

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Çömez İ.

ACTA MECHANICA, vol.233, no.12, pp.5241-5253, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 233 Issue: 12
  • Publication Date: 2022
  • Doi Number: 10.1007/s00707-022-03366-5
  • Journal Name: ACTA MECHANICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.5241-5253
  • Karadeniz Technical University Affiliated: Yes

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.