An Elasto-Plasto-Hydrodynamic Lubrication Analysis of the Plane Strain Drawing Process

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Abstract
In recent years there has been an accumulation of evidence of hydrodynamic lubrication in various metal forming processes. In the present paper the possibility of hydrodynamic action in the plane strain drawing process is explored in a theoretical analysis which takes account of the variation of lubricant viscosity with pressure and temperature and elastic and plastic deformation of the strip. The generation of heat within the lubricant is considered and linear heat flow in the rigid die is considered in the thermal analysis. In previous theoretical studies a rigid-plastic model has been adopted for the worked material, but in this analysis the influence of elastic deformation in the entry zone and elastic recovery at outlet is examined. The procedure applies the methods of elastohydrodynamic lubrication analysis to a situation in which the elastic distortion is followed by plastic flow. The term elasto-plasto-hydrodynamic lubrication is introduced to describe this situation. Results of the analysis are presented in the form of pressure and temperature distributions and film profiles. It is shown that hydrodynamic films of significant proportions can be developed under some conditions.

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