Plastic Deformation Behavior of Metal for Complex Loading Paths

Abstract

The relations between the stress vector and the strain path were investigated for a complex loading to which the current plastic flow theory can not be applied. It was shown that by the use of the expression which related the stress vector to the strain path with a corner, the direction and the magnitude of the stress vector in loading along the strain path having various curvatures could be calculated by means of the Hereditary Integrals with respect to the length of strain path, and the trace of the strain vector in loading along the stress path with a corner could be determined by means of the graphic method. There was good agreement between the predicted results by the above mentioned method and the experimental results. The applicability of the current flow theory to non-proportional loading of brass was investigated on the basis of the calculated results of the stress vector for the strain path having various curvatures.