A PHYSICAL CONSTITUTIVE MODEL FOR Fe-22Mn-0.6C TWIP STEEL BASED ON DISLOCATION DENSITY

doi:10.11900/0412.1961.2014.00079

Acta Metall Sin

2014, Vol. 50

Issue (9): 1115-1122 DOI: 10.11900/0412.1961.2014.00079

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A PHYSICAL CONSTITUTIVE MODEL FOR Fe-22Mn-0.6C TWIP STEEL BASED ON DISLOCATION DENSITY

SUN Chaoyang(

), HUANG Jie, GUO Ning, YANG Jing

School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083

Cite this article:

SUN Chaoyang, HUANG Jie, GUO Ning, YANG Jing. A PHYSICAL CONSTITUTIVE MODEL FOR Fe-22Mn-0.6C TWIP STEEL BASED ON DISLOCATION DENSITY. Acta Metall Sin, 2014, 50(9): 1115-1122.

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Abstract

Based on the evolution of dislocation density and volume fraction of twins, a physically based constitutive model of Fe-22Mn-0.6C twinning induced plasticity (TWIP) steel has been developed. By taking the influence of slip inside twins on the plastic deformation and the difference of the average Taylor factors between the twinned regions and matrix regions into account, the plastic strain at the representative element was presented as the weighted sum of matrix slip, twinning and slip in twinned regions in this model. A linear function between yield stress and strain rate with natural logarithm was established by considering the effect of strain rate on thermally activated stress. And then, The Euler method was adopted and the parameters of this model were obtained in order to describe as accurately as the experimental results. The results from the model are in good agreement with the experimental results and the average relative error is only 0.84%. Compared with the model free of slip and the model free of the difference of Taylor factor at twinned regions, the average relative error is reduced 1.1% and 2.9%, respectively. The interaction between two twins and the sliding mechanism and its impact on the macro-deformation were investigated. The results show that there is a negative correlation between gliding rate and twinning rate and slip rate decreases with the increase of twinning rate. When the twins become saturated, the twin rate decreases rapidly, being opposite to the slip rate. The yield stress increases and the rate of strain hardening remains approximately unchanged with the increase of strain rate.

Key words: TWIP steel dislocation density twinning induced plasticity constitutive model strain rate

ZTFLH:

TG142.1

Fund: Supported by Joint Fund of National Natural Science Foundation of China and Chinese Academy of Engineering Physics (No.U1330121), National Natural Science Foundation of China (No.51105029) and Beijing Science Foundation of China (No.3112019)

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	Chaoyang SUN
	Jie HUANG
	Ning GUO
	Jing YANG

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https://www.ams.org.cn/EN/10.11900/0412.1961.2014.00079 OR https://www.ams.org.cn/EN/Y2014/V50/I9/1115

Fig.1 Schematic morphology of twins in the representative element

Fig.2 True stress-true strain curves of Fe-22Mn-0.6C steel tested at room temperature with strain rates of 0.01 and 0.1 s^-¹

Fig.3 Variation of strain hardening rate of Fe-22Mn-0.6C steel as a function of strain

Fig.4 Schematic representation of physical constitutive model (t₁—step time, e_init—critical strain when twinning begins)

Fig.5 Yield stress sy of Fe-22Mn-0.6C steel at room temperature as a function of lnε? ( ε? —strain rate)

Table 1 Values of physical constant parameters of Fe-22Mn-0.6C steel at room temperature

Fig.6 Comparison of simulated and experimental true stress-true strain curves for Fe-22Mn-0.6C steel with strain rates of 0.1 and 0.01 s^-¹

Fig.7 Comparison of simulated and experimental strain hardening rates for Fe-22Mn-0.6C steel with strain rates of 0.01 s^-¹ (a) and 0.1 s^-¹ (b)

Fig.8 True stress-true strain curves of Fe-22Mn-0.6C steel subjected to three decompositions with strain rate of 0.1 s^-¹

Fig.9 Evolution of plastic strain rate, slip rate and twinning rate for Fe-22Mn-0.6C steel with strain rate of 0.1 s^-¹

Table 2 Average relative errors of simulated and experimental stresses for Fe-22Mn-0.6C steel subjected to three decompositions with strain rate 0.1 s^-¹

Fig.10 Evolution of dislocation density and volume fraction of twins for Fe-22Mn-0.6C steel subjected to three decompositions with strain rate of 0.1 s^-¹

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