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Prediction of Forming Limit Curves from Hardness for Steels

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Abstract

This paper presents a method for predicting the strain-based forming limit curve (FLC) for steels using hardness. The stretching side (positive minor strain component) of the FLC was calculated by using a Marciniak-Kuczyński model with a non-quadratic yield function, while the drawing side (negative minor strain component) of the FLC was predicted based on the relationship between the major and minor critical strains, in accordance with the theory of maximum sheet tension for local necking. The requisite parameter that describes the plastic flow behavior (in this case, the strain hardening exponent) was calculated, based on correlations with the measured microhardness. Additionally, the strain rate sensitivity was considered in the model by using a newly developed empirical correlation between hardness and strain rate sensitivity. This hardness-based model was used to predict FLCs that demonstrate good agreement with experimental FLCs of a high-strength low-alloy steel and a dual-phase steel. Equations are provided that enable the calculation of the FLC from given hardness values for different severities of the material inhomogeneity.

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Authors and Affiliations

  1. AK Steel Research and Innovation Center, 705 Curtis Street, Middletown, OH, 45044, USA

    Erik J. Pavlina

  2. Advanced Steel Processing and Products Research Center, Colorado School of Mines, 1500 Illinois Street, Golden, CO, 80401, USA

    Chester J. Van Tyne

Authors
  1. Erik J. Pavlina
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  2. Chester J. Van Tyne
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Correspondence to Erik J. Pavlina.

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Pavlina, E.J., Van Tyne, C.J. Prediction of Forming Limit Curves from Hardness for Steels. J. of Materi Eng and Perform 25, 3465–3471 (2016). https://doi.org/10.1007/s11665-016-2115-3

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  • DOI: https://doi.org/10.1007/s11665-016-2115-3

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