The Burzynski criterion is developed for anisotropic asymmetric metals with the non-associated flow rule (NAFR) for plane stress problems. The presented pressure depending on the yield criterion can be calibrated with ten experimental data, i.e., the tensile yield stresses at 0◦, 45◦, and 90◦, the compressive yield stresses at 0◦, 15◦, 30◦, 45◦, 75◦, and 90◦ from the rolling direction, and the biaxial tensile yield stress. The corresponding pressure independent plastic potential function can be calibrated with six experimental data, i.e., the tensile R-values at 0◦, 15◦, 45◦, 75◦, and 90◦ from the rolling direction and the tensile biaxial R-value. The downhill simplex method is used to solve these ten and six high nonlinear equations for the yield and plastic potential functions, re- spectively. The results show that the presented new criterion is appropriate for anisotropic asymmetric metals.

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