Hosford Yield Criterion - Logan-Hosford Yield Criterion For Anisotropic Plasticity - Logan-Hosford Criterion in Plane Stress

Logan-Hosford Criterion in Plane Stress

Under plane stress conditions, the Logan-Hosford criterion can be expressed as

$\cfrac{1}{1+R} (|\sigma_1|^n + |\sigma_2|^n) + \cfrac{R}{1+R} |\sigma_1-\sigma_2|^n = \sigma_y^n$

where is the R-value and is the yield stress in uniaxial tension/compression. For a derivation of this relation see Hill's yield criteria for plane stress. A plot of the yield locus for the anisotropic Hosford criterion is shown in the adjacent figure. For values of that are less than 2, the yield locus exhibits corners and such values are not recommended.

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