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The Quarterly Journal of Mechanics and Applied Mathematics 1986 39(1):125-138; doi:10.1093/qjmam/39.1.125
© 1986 by Oxford University Press
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FRICTIONAL VISCOELASTIC CONTACT

J. M. GOLDEN {dagger}

( Department of Mathematics, Simon Fraser University Burnaby, B.C., Canada )

It is shown that, in a previous treatment of this topic (1), the expression used for the coefficient of hysteretic friction was incomplete. Corrected expressions for this quantity are derived from a treatment of the problem which is more general, and in some respects more compact and elegant, than the earlier work. In particular, the equations governing the transient problem are developed initially and the steady-state equations are extracted as a limiting case. It is shown that the hysteretic friction coefficient on a frictional surface of an incompressible half-plane is given by a simple factor times the lubricated hysteretic friction coefficient. Explicit formulae and numerical results are presented for materials that are nearly elastic.


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