On the moving contact problem between an arbitrarily graded coating and a semi-circular punch


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Toktaş S. E., Dağ S.

Contact Mechanics International Symposium, Lausanne, Switzerland, 23 - 25 May 2022, pp.19

  • Publication Type: Conference Paper / Summary Text
  • City: Lausanne
  • Country: Switzerland
  • Page Numbers: pp.19
  • Middle East Technical University Affiliated: Yes

Abstract

The main goal of this study is to examine the behavior of an arbitrarily graded coating in contact with a moving semi-circular punch. Presented solution is capable of accounting for arbitrary variations in all relevant material properties, which are shear modulus, Poisson’s ratio, and density. The coating is approximated as an elastic layer made up of N sub-layers, and assumed to be perfectly bonded to a substrate, which is modelled as a half-plane. Governing partial differential equations are derived in accordance with plane theory of elastodynamics. The problem is reduced to a singular integral equation of the second kind, which is solved numerically. In parametric analyses, number of sub-layers to be used in modelling is determined through a convergence analysis based on the approximate errors in the contact stresses. Methodologies proposed are verified by making comparisons to the results available in the literature. Presented results demonstrate the effects of punch speed, coefficient of friction, and relative contact size on contact stresses and required contact force. These factors are shown to have an important influence on the frictional contact behavior of graded coatings possessing arbitrary and nonproportional variations.