Stresses Unified Solution for Wire Forming Based on Unified Strength Theory

Abstract

For known well the contributions of both tension-compression-ratio of material and intermediate principal shear stress to wire forming, the wire forming problem is developed based on unified strength theory. By denoting a notation of D, the unified stresses solution for wire forming is gained, which is suitable to both wire drawing and extrusion. In addition, when material has identical strength in tension and compression, the stresses solution based on unified strength theory become that based on unified yield criterion. Notably, it is proved that the stresses of wire forming are independent of the intermediate principal shear stress. Whether any yield criterion (e.g., Mises, Tresca or unified yield criterion) is adopted, for it is assumed that the tensile and compressive strength is equal to one another, the stresses solution is as same as that based on unified yield criterion, and is merely a special case of the unified stresses solution developed by this paper.