PREDICTION OF PLASTIC PROPERTIES OF POLYCRYSTALLINE AGGREGATES OF BCC METALS DEFORMING BY 111 DIRECTION PENCIL GLIDE.

Abstract

The Bishop and Hill-type isostrain analysis has been re-examined. Expressions have been derived for slip-plane orientations and shears for simultaneous slip along four 111 directions. The expressions for shears, in conjunction with expressions for the stress states previously calculated by Piehler and Backofen, permit comparison of external and internal work, which must be equal for the active stress state. Additional relations are introduced which must be satisfied for simultaneous operation of three 111 slip systems.