Table of Contents
Textures and Microstructures
Volume 10 (1989), Issue 3, Pages 195-209

Analytic Prediction of Texture and Length Changes During Free-End Torsion

Department of Metallurgical Engineering, McGill University, 3450 University Street, Montreal H3A 2A7, Canada

Received 29 August 1988

Copyright © 1989 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The free-end torsion length change measurements of Rose and Stüwe (1968), carried out on cube-textured Cu tubes, are reanalyzed. Ratios of length change rate to applied shear rate are calculated using a newly-developed rate sensitive approach and also by the CMTP method. The dependence of this ratio on the orientation of the cube axis is shown to be in good agreement with the measurements, particularly for lengthening. The analysis is extended to its rate insensitive limit for comparison with the equivalent predictions of Rose and Stüwe. The rate of lattice rotation is also predicted; this is shown to be independent of rate sensitivity and identical to the rigid body rotation rate. Through the lattice rotations, analytic expressions are derived which predict the dependence of sample length on shear strain. These are also in good agreement with the experimental observations.