Burzynski criterion is a well-known criterion is employed for pressure-sensitive isotropic materials. In the current study, this criterion is modified for asymmetric anisotropic materials called hear MB. Firstly, a modified deviatoric stress tensor is defined with a linear transformation to consider the anisotropy effects of materials. Secondly, MB is presented by the sum of n-components to have more capability to be calibrated with different numbers of experimental tests and thirdly, the nonlinear impact of hydrostatic pressure is ignored due to the previous experiments. In this research, when associated flow rule (AFR) and non-associated flow rule (non-AFR) are employed to calibrate MB, it is called MB-1 and MB-2, respectively. Yielding of different alloys such as AA 2008-T4 and AA 2090-T3 with Face-Centered Cubic (FCC) structure and also AZ31 B, ZK61 M, high purity α-titanium, texture magnesium, Mg-0.5% Th alloy, Mg-4% Li alloy and Ti-4 Al-1/4 O2 titanium alloy with Hexagonal Close-Packed (HCP) structure are studied to show the accuracy of MB-1 and MB-2. It is shown that the presented approach is very effective especially by using MB-2.

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