Dynamic Mechanical Characteristics and Constitutive Model of TC2 Ti-alloy

doi:10.11901/1005.3093.2020.196

Chinese Journal of Materials Research

2021, Vol. 35

Issue (3): 201-208 DOI: 10.11901/1005.3093.2020.196

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Dynamic Mechanical Characteristics and Constitutive Model of TC2 Ti-alloy

SU Nan, CHEN Minghe(

), XIE Lansheng, LUO Feng, SHI Wenxiang

National Key Laboratory of Science and Technology on Helicopter Transmission, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Cite this article:

SU Nan, CHEN Minghe, XIE Lansheng, LUO Feng, SHI Wenxiang. Dynamic Mechanical Characteristics and Constitutive Model of TC2 Ti-alloy. Chinese Journal of Materials Research, 2021, 35(3): 201-208.

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Abstract

The quasi-static and dynamic stress-strain curves of TC2 Ti-alloy were measured by means of electronic universal testing machine and split Hopkinson pressure bar (SHPB) respectively, and the dynamic flow stress characteristics at high strain rates were investigated, meanwhile, the relevant microstructure evolution of the alloy was examined. The results show that the strain induced effect of strengthening and plasticizing for TC2 Ti-alloy is sensitive to strain rates obviously in the range of 1100- 6000 s^-1, but the two effects were weakened for the strain rate above 4800 s^-1. An adiabatic shear line at an angle of about 45° from the loading direction was observed in the samples by strain rate of 2500 s^-1, and a shear bands may appear as the strain rate further increases, however which were not significantly widened due to the presence of the blocking zone, resulted from the slippage and agglomeration of the dispersed β particulates. The Johnson-Cook constitutive model was modified with the term of adiabatic temperature rise, then a new model was built by means of non-linear fitting. By comparison of prediction data with experimental data, it follows that the average relative error and the correlation coefficient are 2.18% and of 0.9935 respectively for the above two group data. As a result of the foregoing, the rheological behavior of TC2 Ti-alloy by high strain rate at room temperature can be described well with this improved model.

Key words: material mechanics TC2 titanium alloy Johnson-Cook constitutive model high strain rate adiabatic shear

Received: 27 May 2020

ZTFLH:

TG146.23

Fund: Aeronautical Science Foundation of China(20153021001)

About author: CHEN Minghe, Tel: (025)84892508, E-mail: meemhchen@nuaa.edu.cn

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	Nan SU
	Minghe CHEN
	Lansheng XIE
	Feng LUO
	Wenxiang SHI

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https://www.cjmr.org/EN/10.11901/1005.3093.2020.196 OR https://www.cjmr.org/EN/Y2021/V35/I3/201

Table 1 Chemical composition of TC2 titanium alloy (mass fraction, %)

Fig.1 Original microstructure of TC2 titanium alloy (a:50×, b:1000×)

Fig.3 Stress-strain curve of TC2 alloy under the quasi static and high strain rates

Strain rate /s^-1	Yield strength, $σ 0.2$ /MPa	Ultimate strength, $σ b$ /MPa	Maximum strain, $ε m a x$
0.001	703.6	899.2	0.170
0.01	762.9	906.4	0.154
0.1	790.4	944.7	0.142
1	803.2	913.7	0.128
1100	658.3	1148.3	0.079
1900	693.8	1285.9	0.137
2500	759.8	1378.1	0.182
3500	809.1	1434.9	0.242
4200	880.3	1457.1	0.289
4800	903.5	1473.6	0.309
5400	925.5	1500.1	0.309
6000	942.3	1504.7	0.312

Table 2 Performance parameters of TC2 titanium alloy at different strain rates

Fig.4 Microstructures of TC2 alloy under high strain rate conditions (a) 1100 s^-1; (b) 2500 s^-1; (c) 3500 s^-1; (d) 4200 s^-1; (e) 4800 s^-1

Fig.5 Flow stress difference and relative increase rate at different strain rates

Fig.6 Data fitting of logarithmic strain rate sensitive parameters for TC2 titanium alloy

Strain	Strain rate sensitivity $λ$ /MPa
0.06	46.3
0.08	54.2
0.10	58.1
0.14	57.8
0.18	61.7
0.20	50.7
0.22	63.5

Table 3 Logarithmic strain rate sensitive parameters for TC2 titanium alloy at different strains

Fig.7 Adiabatic temperature rise of TC2 alloy under high strain rate conditions

Fig.8 Relationship between ΔT and ε at high strain rates of TC2 titanium alloy

Fig.9 Parabolic function fitting of $? ? T / ? ε$ and $ε ˙$

Fig.10 Comparison between fitted results of Johnson-Cook model and experimental data

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