Rolling/sliding of a linear elastic body on a deformable layered substrate (Q1339442)

We analyze a three-dimensional friction contact problem between a homogeneous and isotropic linear elastic body and a substrate consisting of a homogeneous and isotropic linear elastic half-space coated with a transversely isotropic elastic layer. The problem formulation includes the kinematics of the body, including its rolling/sliding on the substrate. Expressions relating the displacements of a point on the contact surface to the surface tractions acting there have been derived. We have also proposed a variational problem for the determination of surface tractions at points of the contact surface.