Determination of the yield loci of b.c.c. metals deforming by non crystallographic slip (“Pencil glide”)

Parniere, P.; Sauzay, C.

doi:10.1016/0025-5416(76)90166-x

Cited by 9 publications

(2 citation statements)

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“…He treated both the case of three and four active slip directions. Parniere and Sauzay [8] also described pencil glide calculations based on a least work analysis. Their upper-bound locus for randomly oriented material shows less strengthening under plane-strain than predicted by yon Mises and their locus for a sharp {111}(110) texture indicates much less strengthening under biaxial tension than would be predicted by the Hill theory for the same R-value.…”

Section: Introductionmentioning

confidence: 99%

Upper-bound anisotropic yield locus calculations assuming 〈111〉-pencil glide

Logan

Hosford

1980

International Journal of Mechanical Sciences

377

115

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Deformation by (liD-pencil glide has been analyzed by an upper-bound model which combines a least-shear analysis and Piehler's maximum virtual work analysis. The least-shear analysis gives exact solutions if three 01D slip systems are active, while the maximum work analysis provides solutions for the case of four active slip systems. Independent checks are used to determine which solution method is appropriate. , Computer calculations using this model have been made to determine; (1) the orientation dependence of the Taylor factor for axisymmetric deformation; (2) the yield loci for textured materials having [100], [110] and [11 I] sheet metals and rotational symmetry; (3) the isotropic yield locus for randomly oriented materials; and (4) flow stresses along critical loading paths for various assumed textures with rotational symmetry. The latter calculations indicate that anisotropic yield loci of textured bcc metals with rotational symmetry are much better approximated by o-xa +orya + RJorx-Ory] a =(R + I)Y awhere R is the strain ratio and Y is the tensile yield strength with an exponent a = 6 rather than with a = 2 as postulated by Hill. It is not known how well upper-bound calculations like these represent actual yielding behavior. NOTATIONx, y

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Section: Introductionmentioning

confidence: 99%

Upper-bound anisotropic yield locus calculations assuming 〈111〉-pencil glide

Logan

Hosford

1980

International Journal of Mechanical Sciences

377

115

View full text Add to dashboard Cite

show abstract

“…Overall, this study sheds new lights on cross-slip as a hardening process while it is solely considered as a recovery process in crystal plasticity constitutive laws [56] except in rare seminal studies such as [57], about the hardening effect of cross-slip on FCC stage I. Recently, wide efforts were made in BCC metals [58,59,4,60] to understand and model non-crystallographic glide while experimental evidences of a composite slip between different slip planes also exist. Less often discussed, FCC metals are also characterized by a composite slip process including octahedral and no-compact slip systems when investigated over large stress and temperature ranges [61,13].…”

Section: Discussionmentioning

confidence: 87%