A Numerical Method for Computing Plane Plastic Slip-Line Fields

Abstract

A numerical method for slip-line field analysis of rigid perfectly plastic material is presented. The method formulates the analysis of metal forming operations as constrained optimization problems. As an example extrusion through curved dies with zero exit angle and nonzero entrance angle is solved using the proposed method. Slip-line fields, hodograph, and flow field are illustrated, and the mean extrusion pressure as a function of reduction ratio is computed.