A plane problem of rolling contact in linear viscoelasticity theory

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Abstract

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.
Original languageEnglish
Pages (from-to)345-352
Number of pages8
JournalJournal of Applied Mechanics
Volume29
Issue number2
DOIs
Publication statusPublished - Jun 1962

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