A Method of Constructing Slip Line Fields for Plane Strain Compression

Abstract

Plane strain compression is a well known method for assessing the flow stress properties of strip or plate materials. Slip line fields for this process were first suggested by Green. These fields were later obtained for a wide range of platen width to strip thickness ratios by Collins. This paper describes an alternative method for determining slip line fields for frictionless plane strain compression. For a given platen width and strip thickness the parameters required for constructing an approximate field are determined from simple analytic expressions together with platen pressures and deformation loads. This initial solution can be modified, using a simple iterative procedure, to a slip line field should more detailed analysis be required. The advantage of this method is that it computes an approximate field from the two functional parameters, platen width and strip thickness, using simple analytical expressions, thus allowing solutions to be determined rapidly using very limited computing resources.