Constitutive equations for elevated temperature flow stress of Ti–6Al–4V alloy considering the effect of strain

Cai, Jun; Li, Fuguo; Liu, Taiying; Chen, Bin; He, Min

doi:10.1016/j.matdes.2010.11.004

Cited by 233 publications

(103 citation statements)

References 15 publications

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“…Additionally, Equation (2) is suitable for lower stress as mentioned in a previous paragraph. Therefore, some errors might be introduced in calculating the values of n1 using Equation (2) for higher stress (i.e., at lower temperature and higher strain rate) and finally affect the accuracy of constitutive modeling [44]. Similar errors were reported by Mandal et al [48] in Ti-modified austenitic stainless steel and Zou et al [12] in as-cast 21Cr economical duplex stainless steel.…”

Section: Verification Of the Developed Constitutive Modelingsupporting

confidence: 52%

“…It is considered that the effect of strain on flow stress at elevated temperature is insignificant and thus would usually be ignored in Equation (1) [44]. However, it could be found that the strain also has an important effect on the flow stress besides strain rate and deformation temperature as shown in Figure 2.…”

Section: Constitutive Modeling Considering Effect Of Strainmentioning

confidence: 99%

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Deformation Characteristic and Constitutive Modeling of 2707 Hyper Duplex Stainless Steel under Hot Compression

Jiao

Feng

et al. 2016

Metals

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Hot deformation behavior and microstructure evolution of 2707 hyper duplex stainless steel (HDSS) were investigated through hot compression tests in the temperature range of 900-1250 • C and strain rate range of 0.01-10 s −1 . The results showed that the flow behavior strongly depended on strain rate and temperature, and flow stress increased with increasing strain rate and decreasing temperature. At lower temperatures, many precipitates appeared in ferrite and distributed along the deformation direction, which could restrain processing of discontinuous dynamic recrystallization (DRX) because of pinning grain boundaries. When the temperature increased to 1150 • C, the leading softening behaviors were dynamic recovery (DRV) in ferrite and discontinuous DRX in austenite. When the temperature reached 1250 • C, softening behavior was mainly DRV in ferrite. The increase of strain rate was conducive to the occurrence of discontinuous DRX in austenite. A constitutive equation at peak strain was established and the results indicated that 2707 HDSS had a higher Q value (569.279 kJ·mol −1 ) than other traditional duplex stainless steels due to higher content of Cr, Mo, Ni, and N. Constitutive modeling considering strain was developed to model the hot deformation behavior of 2707 HDSS more accurately, and the correlation coefficient and average absolute relative error were 0.992 and 5.22%, respectively.

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Section: Verification Of the Developed Constitutive Modelingsupporting

confidence: 52%

Section: Constitutive Modeling Considering Effect Of Strainmentioning

confidence: 99%

Deformation Characteristic and Constitutive Modeling of 2707 Hyper Duplex Stainless Steel under Hot Compression

Jiao

Feng

et al. 2016

Metals

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“…Phenomenological constitutive models are usually used in the simulation of hot forming processes due to their practicability and accuracy. For titanium alloys, the more significant part of literature on the constitutive modelling pays particular attention to α + β type alloys, especially Ti-6Al-4V titanium alloy [8][9][10][11]. The Arrhenius-type constitutive equation (ACE), where the flow Figure 1 shows the experimental flow stress curves obtained at a constant strain rate values of 2 × 10 −4 , 4 × 10 −4 and 8 × 10 −4 s −1 and in a temperature range of 840 to 890 • C. It could be observed that the steady stage begun from the strain value of approximately 0.1.…”

Section: Introductionmentioning

confidence: 99%

Modelling of the Superplastic Deformation of the Near-α Titanium Alloy (Ti-2.5Al-1.8Mn) Using Arrhenius-Type Constitutive Model and Artificial Neural Network

Mosleh

Mikhaylovskaya

Котов

et al. 2017

Metals

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Abstract:The paper focuses on developing constitutive models for superplastic deformation behaviour of near-α titanium alloy (Ti-2.5Al-1.8Mn) at elevated temperatures in a range from 840 to 890 • C and in a strain rate range from 2 × 10 −4 to 8 × 10 −4 s −1 . Stress-strain experimental tensile tests data were used to develop the mathematical models. Both, hyperbolic sine Arrhenius-type constitutive model and artificial neural-network model were constructed. A comparative study on the competence of the developed models to predict the superplastic deformation behaviour of this alloy was made. The fitting results suggest that the artificial neural-network model has higher accuracy and is more efficient in fitting the superplastic deformation flow behaviour of near-α Titanium alloy (Ti-2.5Al-1.8Mn) at superplastic forming than the Arrhenius-type constitutive model. However, the tested results revealed that the error for the artificial neural-network is higher than the case of Arrhenius-type constitutive model for predicting the unmodelled conditions.

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“…In the empirical method, an Arrhenius-type model has been widely used to predict the flow stress of titanium alloy at elevated temperatures [18,19]. Cai et al [20] carried out an analysis of the constitutive relations of Ti-6Al-4V alloy using a revised Arrhenius-type model. Good agreements between experimental data and predicted data were obtained.…”

Section: Introductionmentioning

confidence: 99%

Unified constitutive modelling for two-phase lamellar titanium alloys at hot forming conditions

Yang

Wang

et al. 2016

Manufacturing Rev.

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-In this paper, a set of mechanism based unified viscoplastic constitutive equations have been established for two-phase titanium alloys with initial lamellar microstructure, which models the softening mechanisms of the alloys in hot forming conditions. The dislocation density, rotation and globularization of lamellar a-phase and their effects on flow behaviour can also be modelled. The values of material constants in the equation set have been calibrated, according to stress-strain curves and globularization fractions of lamellar a-phase obtained from compression tests at a range of temperatures and strain rates, using a genetic algorithm (GA) based optimisation method. Based on the determined constitutive equations, flow stress and globularization evolution of Ti-17 and TA15 alloys at different temperatures and strain rates were predicted. Good agreements between the experimental and computed results were obtained.

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Constitutive equations for elevated temperature flow stress of Ti–6Al–4V alloy considering the effect of strain

Cited by 233 publications

References 15 publications

Deformation Characteristic and Constitutive Modeling of 2707 Hyper Duplex Stainless Steel under Hot Compression

Deformation Characteristic and Constitutive Modeling of 2707 Hyper Duplex Stainless Steel under Hot Compression

Modelling of the Superplastic Deformation of the Near-α Titanium Alloy (Ti-2.5Al-1.8Mn) Using Arrhenius-Type Constitutive Model and Artificial Neural Network

Unified constitutive modelling for two-phase lamellar titanium alloys at hot forming conditions

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