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Applied Mathematics and Mechanics >

2015 , Vol. 36 >Issue 3: 303 - 318

DOI: https://doi.org/10.1007/s10483-015-1913-6

Articles

Modified Burzynski criterion with non-associated flow rule for anisotropic asymmetric metals in plane stress problems

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  • Department of Mechanical Engineering, Ferdowsi University of Mashhad, Khorasan Razavi 9177948974, Iran

Received date: 2014-02-18

  Revised date: 2014-08-18

  Online published: 2015-03-01

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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.

Key words： down- hill simplex method; modified Burzynski criterion; pressure dependent asymmetric metal; non-associated flow rule (NAFR)

Cite this article

F. MOAYYEDIAN;M. KADKHODAYAN . Modified Burzynski criterion with non-associated flow rule for anisotropic asymmetric metals in plane stress problems[J]. Applied Mathematics and Mechanics, 2015 , 36(3) : 303 -318 . DOI: 10.1007/s10483-015-1913-6

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