Frictional Sliding of Two Elastic Bodies With a Wavy Contact
Dry frictional sliding of two elastic bodies, one of which has a periodic wavy surface, is considered.
Such a model represents the frictional sliding of two nominally flat surfaces,
one of which has periodically spaced asperities.
The dependence of the true contact area on loading is analyzed by using the plane strain
theory of elasticity.
Fourier series and integral transform techniques are applied to reduce the
problem to an integral equation which is solved using a series of Jacobi polynomials.
M. Nosonovsky and G.G. Adams
For steady state dynamic frictional sliding
with given values of the friction coefficient, materials constants,
and sliding velocity,
the dependence of the contact zone length on
the remotely applied tractions is determined.
The results indicate a decrease of the minimum applied traction required to close the gap
between the bodies, with an increase of the friction coefficient and/or the sliding velocity.
A resonance exists as the sliding velocity approaches the Rayleigh wave
speed of the flat body.