A Plane Problem of Rolling Contact in Linear Viscoelasticity Theory

[+] Author and Article Information
L. W. Morland

Division of Applied Mathematics, Brown University, Providence, R. I.

J. Appl. Mech 29(2), 345-352 (Jun 01, 1962) (8 pages) doi:10.1115/1.3640553 History: Received February 14, 1961; Online September 16, 2011


The plane problem of a rigid cylinder rolling with constant velocity over a linear viscoelastic half space is treated within the limits of quasistatic theory. Tangential surface tractions are considered sufficiently small to be neglected, so that the contact deformation is due to a normal pressure distribution. The boundary-value problem is formulated for a general viscoelastic material, and is reduced to two pairs of dual integral equations. These are solved by infinite series expansions, and a numerical example is given to show that truncated series produce adequate results.

Copyright © 1962 by ASME
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