Dynamics of Rolling with a Microslip for an Elastic Cylinder on an Elastic Half-Space

For the first time, the dynamic problem of plane-parallel rolling with the slip of an elastic cylinder along an elastic base of the same material is analyzed. The distribution of the normal and tangential stresses in the contact-interaction region consisting of relative slip and stick subregions corresponds to the solution of the quasi-static problem of the theory of elasticity. The solution obtained is compared with the solution of the problem of sliding of an absolutely rigid cylinder along an absolutely rigid plane with Amonton-Coulomb dry friction.