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

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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, respectively. The results show that the presented new criterion is appropriate for anisotropic asymmetric metals.

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Authors and Affiliations

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

    F. Moayyedian & M. Kadkhodayan

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  1. F. Moayyedian
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  2. M. Kadkhodayan
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Correspondence to M. Kadkhodayan.

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Moayyedian, F., Kadkhodayan, M. Modified Burzynski criterion with non-associated flow rule for anisotropic asymmetric metals in plane stress problems. Appl. Math. Mech.-Engl. Ed. 36, 303–318 (2015). https://doi.org/10.1007/s10483-015-1913-6

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

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

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