Research Papers

A Simple Constitutive Model for Prediction of Single-Peak Flow Curves Under Hot Working Conditions

[+] Author and Article Information
Roxana Baktash

School of Metallurgy and Materials Engineering,
College of Engineering,
University of Tehran,
Tehran 11155-4563, Iran

Hamed Mirzadeh

School of Metallurgy and Materials Engineering,
College of Engineering,
University of Tehran,
Tehran 11155-4563, Iran
e-mail: hmirzadeh@ut.ac.ir

1Corresponding author.

Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received October 14, 2015; final manuscript received November 30, 2015; published online January 21, 2016. Assoc. Editor: Vadim V. Silberschmidt.

J. Eng. Mater. Technol 138(2), 021004 (Jan 21, 2016) (5 pages) Paper No: MATS-15-1252; doi: 10.1115/1.4032153 History: Received October 14, 2015; Revised November 30, 2015

The hot flow stress of a typical stainless steel was modeled by the Hollomon equation, a modified form of the Hollomon equation, and another modified form based on the Fields–Backofen equation. The coupled effect of the deformation temperature and strain rate was also taken into account in the proposed formulae by consideration of the Zener–Hollomon parameter or dependency of the constants on temperature. The modified Fields–Backofen equation was found to be appropriate for prediction of flow stress, in which the incorporation of peak strain and consideration of temperature dependencies of the strain rate sensitivity and the stress coefficient were found to be beneficial. Moreover, the simplicity of the proposed model justifies its applicability for expressing hot flow stress characterizing dynamic recrystallization (DRX).

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Fig. 1

Flow curves at different deformation conditions

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Fig. 4

Dependency of the constants of the Hollomon equation with Z

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Fig. 3

Basic constitutive analysis

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Fig. 2

Some representative optical micrographs showing the original microstructure and the microstructure of a sample that was immediately water-quenched after deformation to suppress the static restoration processes. The grain boundaries of the prior austenite in the martensite were revealed by electrolytic etching in 60% HNO3 solution at 2 V.

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Fig. 7

Determination of m and correlation between the constants of the modified Fields–Backofen equation and deformation temperature

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Fig. 6

Correlation between the stress coefficient and Z along with the comparison between the experimental flow stress and calculated one for some representative curves using Eq. (6)

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Fig. 5

Comparison between the calculated flow curves and the experimental one for some representative curves using Eq. (2)

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Fig. 8

Comparison between the calculated flow curves and the experimental ones for some representative curves using Eq. (7)



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