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Analysis of Garofalo equation parameters for an ultrahigh carbon steel

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Abstract

Isothermal stress–strain curves data from torsion tests conducted at high temperature (950–1200 °C) and strain rates (2–26 s−1) were analyzed in an ultrahigh carbon steel (UHCS) containing 1.3%C. The sine hyperbolic Garofalo equation was selected as an adequate constitutive equation for the entire range of the forming variables considered. The Garofalo parameters were assumed strain dependent allowing the prediction of stress–strain curves under transient and steady-state conditions. The average relative errors obtained were below 3% in stress. In addition, the creep deformation mechanisms in the UHCS were analyzed from the Garofalo equation parameters. For this aim, the stress exponent of the Garofalo equation was, for the first time, related to that of the power law equation. The results show that the controlled deformation mechanism at steady state is lattice diffusion-controlled slip creep.

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Acknowledgements

This work was carried out through the Project PBC-05-010-1 from JCCM (Castilla-La Mancha, Spain) and MAT 2009/14385.

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Authors and Affiliations

  1. Department of Mathematics, Universidad de Castilla-La Mancha, Av. Carlos III, s/n, 45004, Toledo, Spain

    Jesús Castellanos & Ignacio Rieiro

  2. Department of Physical Metallurgy, Centro Nacional de Investigaciones Metalúrgicas, CENIM, CSIC, Av. Gregorio del Amo 8, 28040, Madrid, Spain

    Manuel Carsí & Oscar A. Ruano

Authors
  1. Jesús Castellanos
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  2. Ignacio Rieiro
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  3. Manuel Carsí
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  4. Oscar A. Ruano
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Correspondence to Oscar A. Ruano.

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Castellanos, J., Rieiro, I., Carsí, M. et al. Analysis of Garofalo equation parameters for an ultrahigh carbon steel. J Mater Sci 45, 5522–5527 (2010). https://doi.org/10.1007/s10853-010-4610-5

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  • DOI: https://doi.org/10.1007/s10853-010-4610-5

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