Determination of Constitutive Equation for Thermo-mechanical Processing of INCONEL 718 Through Double Multivariate Nonlinear Regression Analysis
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Abstract
The present study comprises the determination of constitutive relationship for thermo-mechanical processing of INCONEL 718 through double multivariate nonlinear regression, a newly developed approach which not only considers the effect of strain, strain rate, and temperature on flow stress but also explains the interaction effect of these thermo-mechanical parameters on flow behavior of the alloy. Hot isothermal compression experiments were performed on Gleeble-3500 thermo-mechanical testing machine in the temperature range of 1153 to 1333 K within the strain rate range of 0.001 to 10 s−1. The deformation behavior of INCONEL 718 is analyzed and summarized by establishing the high temperature deformation constitutive equation. The calculated correlation coefficient (R) and average absolute relative error (AARE) underline the precision of proposed constitutive model.
Keywords
constitutive relationship double multivariate nonlinear regression INCONEL 718Notes
Acknowledgment
The authors are very grateful for the support received from National Natural Science Foundation of China (No. 51275414), Aeronautical Science Foundation of China under Grant No. 2011ZE53059, and Graduate Starting Seed Fund of Northwestern Polytechnical University (Grant No. Z2014007).
References
- 1.S.-H. Zhang, H.-Y. Zhang, and M. Cheng, Tensile Deformation and Fracture Characteristics of Delta-Processed Inconel 718 Alloy at Elevated Temperature, Mater. Sci. Eng. A, 2011, 528(19), p 6253–6258CrossRefGoogle Scholar
- 2.Y. Lin, M.-S. Chen, and J. Zhong, Study of Metadynamic Recrystallization Behaviors in a Low Alloy Steel, J. Mater. Process. Technol., 2009, 209(5), p 2477–2482CrossRefGoogle Scholar
- 3.Y. Lin, M.-S. Chen, and J. Zhong, Effects of Deformation Temperatures on Stress/Strain Distribution and Microstructural Evolution of Deformed 42CrMo Steel, Mater. Des., 2009, 30(3), p 908–913CrossRefGoogle Scholar
- 4.Y. Lin and M.-S. Chen, Study of Microstructural Evolution During Static Recrystallization in a Low Alloy Steel, J Mater Sci, 2009, 44(3), p 835–842CrossRefGoogle Scholar
- 5.T. Seshacharyulu et al., Hot Working of Commercial Ti–6Al–4V with an Equiaxed α–β Microstructure: Materials Modeling Considerations, Mater. Sci. Eng. A, 2000, 284(1), p 184–194CrossRefGoogle Scholar
- 6.H. McQueen, Development of Dynamic Recrystallization Theory, Mater. Sci. Eng. A, 2004, 387, p 203–208CrossRefGoogle Scholar
- 7.K. Ohwue, T. Yoshida, and M. Usuda, Influence of Material Properties and Work Process Factors in Sheet Metal Forming, Proceedings of the 4th International Conference on Numerical Methods in Industrial Forming Processes-Numisheet, 1992Google Scholar
- 8.R. Wagoner, Y. Kim, and Y. Keum, 3-D Sheet Forming Analysis Including the Effects of Strain Hardening, Rate Sensitivity, Anisotropy, Friction, Heat Generation, and Transfer. Advanced Technology of Plasticity, Jpn Soc Technol Plast, 1990, 4, p 1751–1756Google Scholar
- 9.G.R. Johnson, and W.H. Cook, A Constitutive Model and Data for Metals Subjected to Large Strains, High Strain Rates and High Temperatures, Proceedings of the 7th International Symposium on Ballistics, 1983, The Netherlands.Google Scholar
- 10.F.J. Zerilli and R.W. Armstrong, Dislocation-Mechanics-Based Constitutive Relations for Material Dynamics Calculations, J. Appl. Phys., 1987, 61(5), p 1816–1825CrossRefGoogle Scholar
- 11.D. Samantaray, S. Mandal, and A. Bhaduri, A Comparative Study on Johnson Cook, Modified Zerilli-Armstrong and Arrhenius-Type Constitutive Models to Predict Elevated Temperature Flow Behaviour in Modified 9Cr–1Mo Steel, Comput. Mater. Sci., 2009, 47(2), p 568–576CrossRefGoogle Scholar
- 12.S.-T. Chiou, W.-C. Cheng, and W.-S. Lee, Strain Rate Effects on the Mechanical Properties of a Fe–Mn–Al Alloy Under Dynamic Impact Deformations, Mater. Sci. Eng. A, 2005, 392(1), p 156–162CrossRefGoogle Scholar
- 13.W.-S. Lee and C.-Y. Liu, Comparison of Dynamic Compressive Flow Behavior of Mild and Medium Steels over Wide Temperature Range, Metall Mater Trans A, 2005, 36(11), p 3175–3186CrossRefGoogle Scholar
- 14.W.-S. Lee and C.-Y. Liu, The Effects of Temperature and Strain Rate on the Dynamic Flow Behaviour of Different Steels, Mater. Sci. Eng. A, 2006, 426(1), p 101–113CrossRefGoogle Scholar
- 15.G.R. Johnson and T.J. Holmquist, Evaluation of Cylinder-Impact Test Data for Constitutive Model Constants, J. Appl. Phys., 1988, 64(8), p 3901–3910CrossRefGoogle Scholar
- 16.G.Z. Voyiadjis and F.H. Abed, Microstructural Based Models for bcc and fcc Metals with Temperature and Strain Rate Dependency, Mech. Mater., 2005, 37(2), p 355–378CrossRefGoogle Scholar
- 17.S. Dey et al., On the Influence of Constitutive Relation in Projectile Impact of Steel Plates, Int. J. Impact Eng, 2007, 34(3), p 464–486CrossRefGoogle Scholar
- 18.A. Lennon and K. Ramesh, The Influence of Crystal Structure on the Dynamic Behavior of Materials at High Temperatures, Int. J. Plast, 2004, 20(2), p 269–290CrossRefGoogle Scholar
- 19.O. Sabokpa et al., Artificial Neural Network Modeling to Predict the High Temperature Flow Behavior of an AZ81 Magnesium Alloy, Mater. Des., 2012, 39, p 390–396CrossRefGoogle Scholar
- 20.D. Samantaray et al., Analysis and Mathematical Modelling of Elevated Temperature Flow Behaviour of Austenitic Stainless Steels, Mater. Sci. Eng. A, 2011, 528(4), p 1937–1943CrossRefGoogle Scholar
- 21.M. Xiao et al., Constitutive Equation for Elevated Temperature Flow Behavior of TiNiNb Alloy Based on Orthogonal Analysis, Mater. Des., 2012, 35, p 184–193CrossRefGoogle Scholar
- 22.Y. Yang et al., A Modified Constitutive Equation for Aluminum Alloy Reinforced by Silicon Carbide Particles at Elevated Temperature, J. Mater. Eng. Perform., 2013, 22(9), p 2641–2655CrossRefGoogle Scholar
- 23.Z. Yuan et al., A Modified Constitutive Equation for Elevated Temperature Flow Behavior of Ti–6Al–4V Alloy Based on Double Multiple Nonlinear Regression, Mater. Sci. Eng. A, 2013, 578, p 260–270CrossRefGoogle Scholar
- 24.B. Zhang, D.J. Mynors, A. Mugarra, and K. Ostolaza, Representing the Super Plasticity of Inconel 718, J. Mater. Process. Technol., 2004, 153–154, p 694–698CrossRefGoogle Scholar
- 25.H.Y. Zhang, S.H. Zhang, Z.X. Li, and M. Cheng, Hot Die Forging Process Optimization of Superalloy IN718 Turbine Disc Using Processing Map and Finite Element Method, J. Eng. Manuf., 2010, 224, p 103–110CrossRefGoogle Scholar
- 26.Y. Wang, W.Z. Shao, L. Zhen, L. Yang, and X.M. Zhang, Flow Behavior and Microstructures of Superalloy 718 During High Temperature Deformation, Mater. Sci. Eng. A, 2008, 497, p 479–486CrossRefGoogle Scholar
- 27.A. Nowotnik, Effect of High Temperature Deformation on the Structure of Ni Based Superalloy, J. Achiev Mater Manuf Eng, 2008, 27(2), p 115–122Google Scholar
- 28.E.C. Aifantis, The Physics of Plastic Deformation, Int. J. Plast, 1987, 3(3), p 211–247CrossRefGoogle Scholar
- 29.S. Bodner and Y. Partom, Constitutive Equations for Elastic-Viscoplastic Strain-Hardening Materials, J. Appl. Mech., 1975, 42(2), p 385–389CrossRefGoogle Scholar
- 30.Perzyna, P., The Constitutive Equations for Rate Sensitive Plastic Materials, 1962, DTIC Document.Google Scholar
- 31.C. Sellars and W.M. Tegart, Hot Workability, Int. Metall. Rev., 1972, 17(1), p 1–24Google Scholar
- 32.A. Nowotnik, High Temperature Deformation of Superalloy Inconel 718, Solid State Phenom., 2012, 186, p 147–150CrossRefGoogle Scholar
- 33.M. Tresa, Pollock and Sammy Tin, and Properties, J. Propul. Power, 2006, 22(2), p 361–374CrossRefGoogle Scholar
- 34.A. Bunsch, J. Kowalska, and M. Witkowska, Influence of Die Forging Parameters on the Microstructure and Phase Composition of INCONEL 718, Arch. Metall. Mater., 2012, 57(4), p 929–935Google Scholar