Rolling/sliding of a Linear Elastic Body on a Deformable Layered Substrate


We analyze a three-dimensional frictional 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. An example problem involving the motion of a homogeneous spherical rigid ball on a substrate made of a homogeneous thin layer of a linear elastic material and bonded to a rigid base is studied. It is shown that there can be at most one adhesion zone followed by a slipping zone. Numerical results illustrating the dependence of the slip velocity upon the resultant frictional force are also presented graphically. © 1994.


Mechanical and Aerospace Engineering

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Article - Journal

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Publication Date

01 Jan 1994