Table of Contents
Texture of Crystalline Solids
Volume 3, Issue 3, Pages 191-214

Microplasticity Predictions of r-Values and Yield Loci of Low Carbon Sheet Steels Deforming by <111> Pencil Glide

1Metalworking Section, Battelle Columbus Laboratories, Columbus, Ohio 43201, USA
2Research and Technology, Armco Inc., Middletown, Ohio 45043, USA
3Carnegie-Mellon University, Pittsburgh, Pennsylvania 15213, USA

Received 6 February 1979

Copyright © 1979 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 plastic deformation of low carbon sheet steels has been analyzed using microplasticity models and Hill's theory of anisotropic continuum plasticity. The analytical methods used to determine the crystallite stress states which must be generated for the isostress (lower-bound) and isostrain (upper-bound) cases are briefly discussed and then applied to predict yield loci for three cold-rolled, annealed low-carbon steels (enameling iron, aluminum-killed steel, and interstitial-free steel) whose textures were characterized by crystallite orientation distribution functions. While measured r-values correlate best with upper-bound yield loci predictions for enameling iron, those for the aluminum-killed steels show better agreement with lower-bound yield loci predictions. In the case of the interstitial-free steel, measured r-values could not be accounted for by either upper- or lower-bound predictions. The yield loci measurements and predictions are reviewed in the context of Hill's continuum theory.