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.
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A Plane Problem of Rolling Contact in Linear Viscoelasticity Theory
L. W. Morland
Division of Applied Mathematics, Brown University, Providence, R. I.
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Morland, L. W. (June 1, 1962). "A Plane Problem of Rolling Contact in Linear Viscoelasticity Theory." ASME. J. Appl. Mech. June 1962; 29(2): 345–352. https://doi.org/10.1115/1.3640553
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