Three-dimensional analysis of the stress-strain state in the process of plastic deformation of metals

Abstract

The mathematical simulation of forging, rolling, cutting, etc., aimed at improving these deformation processes, is accompanied by the calculation of the strain and stress fields in the product being worked. This paper presents a review of articles published in J. Mater. Process. Tech. in 1996 enabling one to state that, as a rule, it is the upper-bound estimate technique and the finite-element method that are applied to the calculation of the stress-strain state. These methods offer good results in defining flow kinematics and deformation force. However, despite the practical importance of knowing the stress state there are few papers dealing with the calculation of stress fields, and the available solution results do not seem to be satisfactory. This paper shows why they should be considered unsatisfactory and what should be done (what methods should be applied) to improve the predicted stress field without losing the accuracy of prediction of flow kinematics. Discussion on a new method for three-dimensional analysis of stresses and strains is illustrated by a simple example of parallelepiped forging. This paper is, partially, a review of some works published in Russian, which, unfortunately, seem to be unknown to the English-speaking reader.