Abstract

ABSTRACT A slipline field model for tool-work interface asperity interactions have been developed to to explain the role of tool surface roughness, lubrication condition and apparent contact pressure on the tool-work interface frictional boundary condition in metal working processes. In this paper, consideration is given to how the slipline fields representing asperity interactions can be joined to the slipline field representing the bulk deformation for the process considered. All the possible contact conditions at which the ratios of the real and apparent contact are less than or equal to one are considered. Analyses are given on the combined slipline field of interface friction and the bulk deformation. Tests for over-stressing of critical corners in the combined slipline field are carried out using Hill's theorem on the maximum intensity of stress singularities. The influences of tool surface roughness, lubrication condition and apparent contact pressure on tool-work interface friction and work material bulk deformation are shown using the combined field model.

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