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