Abstract
The paper presents a numerical study of the tangential contact between a rigid indenter and an elastomer with linear rheology. Occurring friction forces are caused exclusively by internal dissipative losses. Especially the combinations of a conical or paraboloid indenter and the Maxwell or standard body with fixed ratio of moduli are studied. One result is, that by the use of proper chosen dimensionless variables, for each of the combinations, the contact forces depend explicitly on the indentation depth only. Curves describing this dependencies are given as Bézier function fits. Application of these methods to an indenter with arbitrary shape and materials with a discrete relaxation spectrum described by Prony series is possible. Although only stationary solutions are analysed here, the method enables us to examine the transient process as well.
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