Constitutive Model Based on Dislocation Density Theory for Hot Deformation Behavior of Ultra-high Strength Dual Phase Steel DP1000

doi:10.11901/1005.3093.2016.728

Chinese Journal of Materials Research

2017, Vol. 31

Issue (8): 576-584 DOI: 10.11901/1005.3093.2016.728

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Constitutive Model Based on Dislocation Density Theory for Hot Deformation Behavior of Ultra-high Strength Dual Phase Steel DP1000

Mei XU¹, Zhenli MI¹(

), Hui LI², Di TANG³, Haitao JIANG¹

1 Institute of Engineering Technology, University of Science and Technology Beijing, Beijing 100083, China
2 College of Engineering,Yantai Nanshan University, Yantai 265700, China
3 Collaborative Innovation Center of Steel Technology, University of Science and Technology Beijing, Beijing 100083, China

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Mei XU, Zhenli MI, Hui LI, Di TANG, Haitao JIANG. Constitutive Model Based on Dislocation Density Theory for Hot Deformation Behavior of Ultra-high Strength Dual Phase Steel DP1000. Chinese Journal of Materials Research, 2017, 31(8): 576-584.

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Abstract

The compression deformation behavior of ultra-high strength dual phase steel (UHS-DP1000) was investigated by strain rates from 0.05 s^-1 to 10 s^-1 at temperatures from 950°C to 1150°C. The influence of deformation temperature and strain rate on the hot flow curves was analyzed. Then a constitutive model for hot deformation of the steel UHS-DP1000 was established based on the dislocation density theory. The relevant softening mechanism of the steel was revealed in terms of the following two aspects that by low strain rates (lower than 0.05 s^-1) at high temperatures the dynamic recrystallization (DRX) softening mechanism was more evident, while by strain rates higher than 0.1 s^-1 the dynamic recovery (DRV) softening mechanism was dominant. The two softening mechanisms worked simultaneously by strain rates in a range between 0.05 s^-1 and 0.1 s^-1. The stress-strain values predicted by the present model for the steel UHS-DP1000 are well agreed with those acquired from experiments, which further confirmed that the established constitutive model could give an accurate estimate for the flow stress of high temperature deformation of the steel UHS-DP1000.

Key words: metallic materials dislocation density constitutive relationship ultra-high strength dual phase steel (UHS-DP1000) dynamic recrystallization critical strain

Received: 11 December 2016

ZTFLH:

TG111

Fund: Supported by National Natural Science Foundation of China (No.51371032)

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https://www.cjmr.org/EN/10.11901/1005.3093.2016.728 OR https://www.cjmr.org/EN/Y2017/V31/I8/576

Fig.1 Flow stress curves of UHS-DP1000 deformed at different temperatures and strain rates (ε_c-critical strain; ε_p-peak strain) of

ε ˙

=0.05 s^-1(a),

ε ˙

=0.1 s^-1(b),

ε ˙

=1 s^-1(c),

ε ˙

=5 s^-1(d),

ε ˙

=10 s^-1(e) and at

ε ˙

=0.05~0.1 s^-1 and T=1050~1150℃ (f)

Table 1 Softening mechanism of UHS-DP1000 deformed at different temperatures and strain rates

Fig.2 Relationship between stress and working hardening of UHS-DP1000 deformed at different temperatures and strain rates of

ε ˙

=0.05 s^-1different temperatures (a), 1050℃ and different strain rates (b)

Fig.3 θ-σ curve (a) and lnθ-ε curve (b) at 950℃ and 0.05 s^-1with their corresponding third order polynomial for UHS-DP1000

Fig.4 Relationship of σ_p-σ_c (a) and ε_p-ε_c(b) based on third order polynomial of θ-σ curve and lnθ-ε curve

Table 2 Calculated parameters of constitutive relationship at different temperatures and strain rates

Deformation temperature/°C	Strain rate/s^-1	Hot deformation constitutive model
1050~1150	≤0.1	$σ = σ sat 2 - σ sat 2 - σ 02 exp - rε 12, ε < ε c σ = σ p - F 2 exp a ε - ε p 2 + F 2, ε > ε c$ $σ sat = 1.042 × ε ˙ - 0.01566 exp 47460 RT$ $r = 75.84 × ε ˙ 0.1254 exp - 24380 RT$ $F 2 = 0.9203 × ε ˙ 0.1676 exp 51660 RT$ $a = - 9.785 × 106 × ε ˙ - 0.2707 exp - 132700 RT$
950~1050	≤0.05
1050~1150	>0.1	$σ = σ sat 2 - σ sat 2 - σ 02 exp - rε 12$ $σ sat = 4.333 × ε ˙ 0.1144 exp 28700 RT$ $r = 25.95 × ε ˙ 0.002238 exp - 12490 RT$
950~1050	>0.05

Table 3 Constitutive relationship of UHS-DP1000 deformed at different temperatures and strain rates

Fig.5 Comparison of predicted flow stress values and experimental values under different deformation condition

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