Hysteretic friction for the transient rolling contact problem of linear viscoelasticity

The problem of a smooth rigid indentor under variable loading moving across a viscoelastic half-space in one direction with variable speed is consider ed The motion is assumed to be frictionless and the standard linear model i s adopted to describe the viscoelastic material response. An integral equat ion is derived and a numerical algorithm for its solution subject to approp riate subsidiary conditions is constructed The contact interval length, pre ssure, and coefficient of hysteretic friction are presented and the results discussed.