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The Quarterly Journal of Mechanics and Applied Mathematics 1975 28(1):1-24; doi:10.1093/qjmam/28.1.1
© 1975 by Oxford University Press
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ON THE DEFORMATION OF A VISCOELASTIC CYLINDER, ROLLING WITHOUT SLIPPING

R. B. HARVEY

( School of Mathematics, University of Bath )

The rolling contact between a viscoelastic cylinder and a rigid half-space is discussed for steady rolling and an infinite coefficient of friction by setting up a scheme of complex potentials. The boundary conditions on the contact arc between cylinder and plane, written as an integral equation, are solved to leave a mixed boundary-value problem for the potentials. The solution shows the relations between the contact geometry, resistance to motion and applied force.


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