A rigid cylinder rolls at constant speed on a thermoelastic half-space under a
compressive load. Heat flow across the contact zone is neglected, and the zone
has a central region of perfect contact and two edge regions of frictionless
slip. A robust asymptotic inversion of the exact transform solution to a
related unmixed boundary value problem allows the mixed-mixed problem of
rolling contact to be solved analytically. The solution is compared with that
for perfect rolling contact. Both show variations in contact zone size and
temperature change with rolling speed and load. Distinctions exist however:
slip zones preclude oscillatory solution behavior and are much smaller than
zones of oscillation. Moreover, perfect rolling contact may exaggerate the
difference between imposed and effective angular velocity due to surface
deformation.
Keywords
rolling contact, slip zones, perfect contact, effective
angular velocity, coupled thermoelasticity, mixed-mixed
problem
