A Finite Element Analysis of the General Rolling Contact Problem for a Viscoelastic Rubber Cylinder

Mathematical models of finite deformation of a rolling viscoelastic cylinder in contact with a rough foundation are developed in preparation for a general model for rolling tires. Variational principles and finite element models are derived. Numerical results are obtained for a variety of cases, including that of a pure elastic rubber cylinder, a viscoelastic cylinder, the development of standing waves, and frictional effects.

The Pressure for Indenting Material Resting on a Rough Foundation

To indent a material on a rough foundation under conditions of plane strain, a slip-line-field solution is proposed and a general expression obtained for the necessary pressure. For extreme values of friction, calculated values are given.