Calculation of the taylor factor and lattice rotations for bcc metals deforming by pencil glide

Abstract

Values of the Taylor factor M and the corresponding lattice rotations for tension or compression have been computed for grains of various orientations postulated to slip on arbitrary planes in 〈111〉 directions. The stresses in each grain were first obtained by numerically maximizing the work expression subject to the constraints of the pencil-glide yield expressions. The derived value of Mave = 2.733 is slightly lower than in the case of mixed {110}, {112}, and {l23} 〈111〉 slip and the computed rotations are in reasonable agreement with experiments on iron. In compression, 26 pct of the grains are predicted to rotate toward 〈100〉, although the 〈111〉 texture component develops faster. The computational method used can easily be applied to the determination of the mechanics of texture generation for arbitrary deformations. © 1971 The Metallurgical Society of American Institute of Mining.