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Friction Correction of Austenite Flow Stress Curves Determined under Axisymmetric Compression Conditions

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Abstract

The experimental flow stress curves of structural steels obtained from axisymmetric compression tests conducted under hot-working conditions very often include the frictional effects present at the tool/specimen interface. Such effects have a significant influence on the flow stress and therefore, should be corrected prior to any quantitative analysis aimed at determining the constitutive description of these materials. Commonly, such a correction is carried out by assuming a constant friction coefficient (μ) or friction factor (m) independent of deformation conditions, which is an unrealistic approach. The present investigation analyzes experimentally the frictional effects that occur when steel is deformed under axisymmetric compression conditions in the temperature range of 850 to 1200 °C at a strain rate of 0.1 s−1 and applied effective strains of 1, employing cylindrical samples with an initial diameter to initial height ratio (d0/h0) in the range of 0.5 to 2. Finite element modeling (FEM), as well as element-free Galerkin modeling (EFGM), have been employed for the analysis and prediction of the von Mises stress distribution, barreling and amount of metal folding undergone by the compression specimens. It has been shown that the increase in flow stress due to frictional effects can be corrected on the basis of either μ or m, by assuming that these parameters vary in the course of plastic deformation and are strongly dependent on deformation temperature. A novel procedure for the systematic correction of the flow stress curves, taking into consideration the changes in friction conditions during plastic deformation, has been proposed.

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Abbreviations

d0 :

Specimen initial diameter, mm

d:

Specimen instantaneous diameter, mm

h0 :

Specimen initial height, mm

h:

Specimen instantaneous height, mm

H:

WC tool height, mm

m:

Friction factor

N:

Number of experimental points in the regression analysis

\( \overline {\mathrm{P}} \) :

Mean pressure or friction uncorrected flow stress, MPa

\( {\overline {\mathrm{P}}}_{\mathrm{i}}^{\exp .} \) :

Experimental mean pressure values in the regression analysis, MPa

\( {\overline {\mathrm{P}}}_{\mathrm{i}} \) :

Computed mean pressure values in the regression analysis, MPa

t:

Ta sheet thickness, mm

ε:

Effective strain

φ:

WC tool diameter, mm

μ:

Friction coefficient

σ0 :

Friction corrected flow stress, MPa

σzz :

Normal stress on the axial plane, MPa

τrz :

Radial shear stress on the axial plane, MPa

Ω:

Sum of squares, MPa2

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Acknowledgements

The authors gratefully acknowledge the financial support of Valenciennes Metropole granted to Professor Puchi-Cabrera, as well as the infrastructure provided by the Laboratory LAMIH at the Université Polytechnique Hauts-de-France.

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Author notes

  1. E.S. Puchi-Cabrera & J.G. La Barbera-Sosa

    Present address: Université Polytechnique Hauts-de-France, CNRS, LAMIH UMR 8201, F-59313, Valenciennes, France

  2. J.C. Álvarez-Hostos

    Present address: Centro de Investigación de Métodos Computacionales (CIMEC), Universidad Nacional del Litoral (UNL)/Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Predio CCT-CONICET Santa Fe, Santa Fe, Argentina

Authors and Affiliations

  1. School of Metallurgical Engineering and Materials Science, Faculty of Engineering, Universidad Central de Venezuela, Postal address 47885, Los Chaguaramos, Caracas, 1040, Venezuela

    E.S. Puchi-Cabrera, J.G. La Barbera-Sosa & J.C. Álvarez-Hostos

  2. Venezuelan National Academy for Engineering and Habitat, Palacio de las Academias, Postal Address 1723, Caracas, 1010, Venezuela

    E.S. Puchi-Cabrera

  3. Université Polytechnique Hauts-de-France, CNRS, LAMIH UMR 8201, F-59313, Valenciennes, France

    J.-D. Guérin, P. Moreau, M. Dubar & L. Dubar

Authors
  1. E.S. Puchi-Cabrera
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  2. J.-D. Guérin
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  3. J.G. La Barbera-Sosa
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  4. J.C. Álvarez-Hostos
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  5. P. Moreau
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  6. M. Dubar
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  7. L. Dubar
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Correspondence to E.S. Puchi-Cabrera.

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Puchi-Cabrera, E., Guérin, JD., La Barbera-Sosa, J. et al. Friction Correction of Austenite Flow Stress Curves Determined under Axisymmetric Compression Conditions. Exp Mech 60, 445–458 (2020). https://doi.org/10.1007/s11340-019-00492-5

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  • DOI: https://doi.org/10.1007/s11340-019-00492-5

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