Viscoelastic Multilayered Cylinders Rolling With Dry Friction

Two circular cylinders consisting of a rigid core which is covered by an arbitrary number of homogeneous, isotropic, viscoelastic coats of arbitrary, but uniform thickness are pressed together so that a contact area in the form of a strip forms between them, and subsequently rolled in the presence of dry friction. A Maxwell model of viscoelasticity is employed; the friction is finite and modeled by Coulomb’s law; partial slip in the contact area is allowed. It is required to find the viscoelastic field in the cylinder, notably in the contact strip, when the compressive force and the creepage in rolling direction are specified. The proposed method works almost equally fast in the case of pure elasticity and of viscoelasticity. It is akin to the method of Bentall et al. (1968), but automated, modernized, and extended.