A comparative study on Johnson–Cook constitutive modeling for Ti–6Al–4V alloy using automated ball indentation (ABI) technique

Wang, Fuzeng; Zhao, Jun; Zhu, Ningbo; Li, Zuoli

doi:10.1016/j.jallcom.2015.01.284

Cited by 51 publications

(11 citation statements)

References 24 publications

(32 reference statements)

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“…Jia et al [15] predicted the  - curves of 7A52 aluminum alloy by using J-C model, which proves that the model can meet the accuracy requirements only under the reference deformation conditions. Wang et al [16] predicted the rheological behavior of Ti-6Al-4V by J-C model. The finite element simulation was used to verify the accuracy.…”

Section: -4nmentioning

confidence: 99%

Comparative Study on Constitutive Models for 21-4N Heat Resistant Steel During High Temperature Deformation

Li¹,

Ji²,

Cai³

et al. 2019

Preprint

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The Gleeble-1500D thermal simulation test machine was used to conduct the isothermal compression test on 21-4N at the strain rate ( ) of 0.01-10s-1, the deformation temperature (T) of 1273-1453K and the maximum deformation is 0.916. The data of the stress-strain ( - )were obtained. Based on the - data, the Johnson-Cook (J-C), modified J-C, Arrhenius and Back-Propagation Artificial Neural Network (BP-ANN) models were established. The accuracy of four models were verified, analyzed and compared. The results show that J-C model has a higher accuracy only under reference deformation conditions. When the deformation condition changes greatly, the accuracy of J-C model is significantly reduced. The coupling effect of T and of modified J-C model is considered, and the prediction accuracy is greatly improved The Arrhenius model introduces Zener-Hollomon (Z) to represent the coupling effect of T and , it has a fairly high prediction accuracy. And it can predict flow stress ( ) accurately at different conditions. The accuracy of BP-ANN model is the highest, but its learning rate is low, the learning and memory are unstable. It has no memory for the weights and thresholds of the completed training. So, there are certain limitations of it in use. Finally, a FEM of the isothermal compression experiment for four models were established, and the distribution of the equivalent stress field, equivalent strain field and temperature field with the deformation degree of 60% were obtained.

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Section: -4nmentioning

confidence: 99%

Comparative Study on Constitutive Models for 21-4N Heat Resistant Steel During High Temperature Deformation

Li¹,

Ji²,

Cai³

et al. 2019

Preprint

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“…Thus, a relatively large indentation depth is required for determination of the hardening behaviors of materials. Taking the above analyses into consideration, it is reasonable to believe that equation (28) can provide more accurate u values than equation (30). The reliability of equation (28) at large indentation depths is further discussed in section ''Plastic zone expansion factor u.…”

Section: Theoretical Analysismentioning

confidence: 99%

Determination of the proof strength and flow properties of materials from spherical indentation tests: An analytical approach based on the expanding cavity model

Zhang

Wang

2018

The Journal of Strain Analysis for Engineering Design

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An analytical method based on the extended expanding cavity model was proposed in this study to determine the proof strength R p0.2 and flow properties of materials that obey the Johnson-Cook constitutive model from spherical indentation tests. The introduction of the Johnson-Cook model made the proposed method suitable for the tensile property evaluation of materials not only at room temperature but also at elevated temperatures. The validity of the expanding cavity model was verified through comparisons of von Mises equivalent strain distributions obtained from finite element analyses with the corresponding results from theoretical analysis. From the parameter analysis, it was found that the indentation governing parameter c empirical in the empirical method was actually determined by the tangential modulus E p and the hardening exponent n and thus should not be considered as a constant. We also analyzed the unreliability of previous plastic zone radius r p calculation method at large indentation depths (with obvious pileup phenomenon) and put forward a new calculation method of r p based on the force balance. Finite element calculations of spherical indentation tests with tensile properties of Ti6Al4V and AISI 4340 were conducted in this study as substitutes for spherical indentation tests. The load-depth data and r p from finite element calculations were employed in the reverse analysis, the results of which showed that spherical indentation tests can provide the same reliable R p0.2 as tensile tests and even the whole stress-strain curves. Furthermore, the influence of friction and the measuring system strain threshold in the measurement of r p , which may be inevitable in experiments, were also thoroughly discussed in this study, which also helped to verify the robustness of this study.

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“…Jia et al [17] predicted the σ - ε curves of 7A52 aluminum alloy by using J-C model, which proves that the model can meet the accuracy requirements only under the reference deformation conditions. Wang et al [18] predicted the rheological behavior of Ti-6Al-4V by J-C model. The finite element simulation was used to verify the accuracy.…”

Section: Introductionmentioning

confidence: 99%

Comparative Study on Constitutive Models for 21-4N Heat Resistant Steel during High Temperature Deformation

Cai

et al. 2019

Materials

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The Gleeble-1500D thermal simulation test machine was used to conduct the isothermal compression test on 21-4N at the strain rate ( ε ˙ ) of 0.01–10 s−1, the deformation temperature (T) of 1273–1453 K and the maximum deformation is 0.916. The data of the stress-strain (σ-ε) were obtained. Based on the σ-ε data, the Johnson-Cook (J-C), modified J-C, Arrhenius and Back-Propagation Artificial Neural Network (BP-ANN) models were established. The accuracy of four models were verified, analyzed and compared. The results show that J-C model has a higher accuracy only under reference deformation conditions. When the deformation condition changes greatly, the accuracy of J-C model is significantly reduced. The coupling effect of T and ε ˙ of modified J-C model is considered, and the prediction accuracy is greatly improved The Arrhenius model introduces Zener-Hollomon (Z) to represent the coupling effect of T and ε ˙ , it has a fairly high prediction accuracy. And it can predict flow stress (σ) accurately at different conditions. The accuracy of BP-ANN model is the highest, but its learning rate is low, the learning and memory are unstable. It has no memory for the weights and thresholds of the completed training. So, there are certain limitations of it in use. Finally, a Finite Element Method (FEM) of the isothermal compression experiment for four models were established, and the distribution of the equivalent stress field, equivalent strain field and temperature field with the deformation degree of 60% were obtained.

show abstract

A comparative study on Johnson–Cook constitutive modeling for Ti–6Al–4V alloy using automated ball indentation (ABI) technique

Cited by 51 publications

References 24 publications

Comparative Study on Constitutive Models for 21-4N Heat Resistant Steel During High Temperature Deformation

Comparative Study on Constitutive Models for 21-4N Heat Resistant Steel During High Temperature Deformation

Determination of the proof strength and flow properties of materials from spherical indentation tests: An analytical approach based on the expanding cavity model

Comparative Study on Constitutive Models for 21-4N Heat Resistant Steel during High Temperature Deformation

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