Stress-Strain Relations of Polycrystalline Metals : 2. A Simple Tension of a Hexagonal Metal

Abstract

In the preceding paper the author derived the expression for stress fields in a plastically deformed polycrystalline aggregate. This formula agrees with the one by K.B.W. model except for the term of interaction stress. The present paper is aimed to know the effect of interaction stress on the macroscopic stress-strain relation. Since the hexagonal crystal has less slip systems than F.C.C. or B.C.C. crystal, the interaction stress effect is expected to be remarkable. So numerical computations are done for a hexagonal metal subjected to a uni-axial tension. The results of this work show the effect of interaction stress is less than 4%.