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For better modeling plane-stress anisotropic plasticity of steel sheets, a direct calibration method is proposed and detailed for establishing a positive and convex sixth-order homogeneous polynomial yield function with up to sixteen independent material constants. The calibration method incorporates parameter identification, convexity testing, and if needed, an adjustment of an initially calibrated...
It is shown that the fourth-order homogeneous polynomial yield function first considered by Gotoh (Int J Mech Sci 19:505–512, 1977) for sheet metals can be recast into a particular general form in intrinsic variables. It leads to a method of generating many specific representations of a fourth-order Hill’s 1979 yield function (in Math Proc Camb Philos Soc 85:179–191, 1979) generalized for off-axis...
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