Abstract

The development of a possible slip line field (slf) for theoretical calculations of the deforming pressure (load) in a second pass of a lubricated cold rolling sheet mill and validation using values from an aluminium sheet rolling mill was done in this work. This will be relevant in the manufacturing industries providing an easy method for determining necessary applied rolling load. Experimental rolling was carried out to observe the shear lines in the deformation field. Construction of possible slip line field model was developed adhering strictly to assumptions of rigid plastic model. Calculation of the deforming force/load was achieved using Hencky’s equation. Results showed that the load calculations for constructed slip line field using aluminium sheet rolling as an example tallied with values obtained from Tower Aluminium rolling mill. Slip line fields constructed for the second pass described adequately the rolling pressure in the cold rolling process, giving a valid solution of the exact load estimates on comparison with the industrial load values. Roll pressure along the arc of contact rose fairly linearly from the entrance to a maximum at the exit point. This work showed that slf for the first pass in a cold rolling mill cannot be used for subsequent passes; it requires construction of slfs for each pass in the cold rolling process.

Highlights

  • The rolling process is one of the most popular processes in manufacturing industries, such that almost 80 percent of metallic equipment has been exposed to rolling at least one time in their production period. .Being the most wide spread metal forming process, rolling has received intensive attention from mechanical engineers

  • The development of a possible slip line field for theoretical calculations of the deforming pressure in a second pass of a lubricated cold rolling sheet mill and validation using values from an aluminium sheet rolling mill was done in this work

  • Results showed that the load calculations for constructed slip line field using aluminium sheet rolling as an example tallied with values obtained from Tower Aluminium rolling mill

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Summary

Introduction

Being the most wide spread metal forming process, rolling has received intensive attention from mechanical engineers. Various models are employed for the mechanical study of strip rolling processes such as the slab or force balance methods, bounding approaches, slip line field analyses and finite element method. In comparison with other methods for analyzing the rolling process, the slip line field method is the largest class of solutions to boundary value problems in plasticity which gives exact solutions. Exact solutions require that both stress equilibrium and a geometrically self consistent pattern of flow are satisfied simultaneously everywhere throughout the deforming body and in its surfaces. The general theory for the flow of plastic rigid material under plane strain conditions is well established, and experimental confirmation of the validity of the theoretical equations has been obtained for many modes of deformation

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