Texture, Stress, and Microstructure

Texture, Stress, and Microstructure / 1990 / Article

Open Access

Volume 12 |Article ID 575742 | https://doi.org/10.1155/TSM.12.89

William Hosford, Aitor Galdos, "Lower Bound Yield Locus Calculations", Texture, Stress, and Microstructure, vol. 12, Article ID 575742, 13 pages, 1990. https://doi.org/10.1155/TSM.12.89

Lower Bound Yield Locus Calculations

Received15 Feb 1989


A lower-bound model for the deformation of work-hardening polycrystals is proposed. All grains are assumed to be loaded under the same stress and the stress–strain behavior is found by averaging the strains in all grains. The shapes of the yield loci have been calculated for textured metals which deform by {111} 110 slip (fcc) and by 111-pencil glide (bcc). As with the corresponding upper-bound models, the yield loci are best described by an anisotropic yield criterion with an exponent of 6 to 10 (instead of 2 as in the Hill theory). Also it is shown that a model of polycrystal deformation in which the grains are loaded to the same stress ratio (but not the same level of stresses) violates normality and is not a lower bound.

Copyright © 1990 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.

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