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A Novel Multi-objective Genetic Algorithms-Based Calculation of Hill’s Coefficients

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Abstract

The anisotropic coefficients of Hill’s yield criterion are determined through a novel genetic algorithms-based multi-objective optimization approach. The classical method of determining anisotropic coefficients is sensitive to the effective plastic strain. In the present procedure, that limitation is overcome using a genetically evolved meta-model of the entire stress strain curve, obtained from uniaxial tension tests conducted in the rolling direction and transverse directions, and biaxial tension. Then, an effective strain that causes the least error in terms of two theoretically derived objective functions is chosen. The anisotropic constants evolved through genetic algorithms correlate very well with the classical results. This approach is expected to be successful for more complex constitutive equations as well.

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This work was supported by the National Research Foundation of Korea (NRF) Grant funded by the Korea Government (MSIP) (No. 2012R1A5A1048294) and the Grant from the Industrial Source Technology Development Program (#10040078) of MKE.

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Authors and Affiliations

  1. Graduate Institute of Ferrous Technology (GIFT), Pohang University of Science and Technology (POSTECH), Pohang, 790-784, Korea

    Krishnaswamy Hariharan (Post-Doctoral Research Associate), Nirupam Chakraborti (Professor), Frédéric Barlat (Professor) & Myoung-Gyu Lee (Associate Professor)

  2. Department of Metallurgical & Materials Engineering, Indian Institute of Technology, Kharagpur, 721 302, India

    Nirupam Chakraborti (Professor)

Authors
  1. Krishnaswamy Hariharan
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  2. Nirupam Chakraborti
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  3. Frédéric Barlat
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  4. Myoung-Gyu Lee
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Corresponding author

Correspondence to Nirupam Chakraborti.

Additional information

Manuscript submitted January 13, 2014.

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Hariharan, K., Chakraborti, N., Barlat, F. et al. A Novel Multi-objective Genetic Algorithms-Based Calculation of Hill’s Coefficients. Metall Mater Trans A 45, 2704–2707 (2014). https://doi.org/10.1007/s11661-014-2274-5

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  • DOI: https://doi.org/10.1007/s11661-014-2274-5

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