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Modified Burzynski criterion with non-associated flow rule for anisotropic asymmetric metals in plane stress problems
Authors:F. Moayyedian  M. Kadkhodayan
Affiliation:Department of Mechanical Engineering, Ferdowsi University of Mashhad, Khorasan Razavi 9177948974, Iran
Abstract:
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.
Keywords:down- hill simplex method  modified Burzynski criterion  pressure dependent asymmetric metal  non-associated flow rule (NAFR)  
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