On the Motion of an Elastic Body Rolling/Sliding on an Elastic Substrate

[+] Author and Article Information
A. Spector

Department of Biomedical Engineering, The Johns Hopkins University, 720 Rutland Ave., Baltimore, MD 21205

R. C. Batra

Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, VA 26061-0219

J. Tribol 117(2), 308-314 (Apr 01, 1995) (7 pages) doi:10.1115/1.2831248 History: Received March 11, 1994; Revised July 01, 1994; Online January 24, 2008


The three-dimensional evolutionary problem of rolling/sliding of a linear elastic body on a linear elastic substrate is studied. The inertial properties of the body regarded as rigid are accounted for. By employing an asymptotic analysis, it is shown that the process can be divided into two phases: transient and quasistationary. An expression for the frictional force as a function of the externally applied forces and moments, and inertial properties of the body is derived. For an ellipsoid rolling/sliding on a linear elastic substrate, numerical results for the frictional force distribution, slip/adhesion subareas, and the evolution of the slip velocity are given.

Copyright © 1995 by The American Society of Mechanical Engineers
Topics: Force , Motion
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