The use of texture data to predict the yield locus of metal sheets

Viana, C. S. Da Costa; Kallend, J. S.; Davies, G. J.

doi:10.1016/0020-7403(79)90016-x

Cited by 34 publications

(2 citation statements)

References 26 publications

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“…stress field (Piehler 1967, Semiatin et al 1979, Hosford 1974, Da Viana et al 1979, Alhoff and Wincierz 1972. Sachs (1928) related the tensile yield strength, o, of a randomly oriented polycrystal to the shear stress for slip, :, by averaging the reciprocal Schmid factors, 1/m, and found o/z:= (l/m),., 2.24.…”

Section: Other Modelsmentioning

confidence: 99%

“…One way the Sach's model has been extended is to calculate the yield locus by averaging the stresses in grains that are loaded under the same stress ratio, (but not to the same stress level) (Hill 1948, Piehler and Backofen 1969, Semiatin et al 1979, Hosford 1974, Da Viana et al 1979). This is not a lower bound and does not assure normality.…”

Section: Other Modelsmentioning

confidence: 99%

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Lower Bound Yield Locus Calculations

Hosford

Galdos

1990

Texture, Stress, and Microstructure

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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.

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Section: Other Modelsmentioning

confidence: 99%