Abstract
In this study, a set of constitutive equation corrected for deformation heating is proposed for a near equi-atomic NiTi shape memory alloy using isothermal hot compression tests in temperature range of 700 to 1000 °C and strain rate of 0.001 to 1 s−1. In order to determine the temperature rise due to deformation heating, Abaqus simulation was employed and varied thermal properties were considered in the simulation. The results of hot compression tests showed that at low pre-set temperatures and high strain rates the flow curves exhibit a softening, while after correction of deformation heating the softening is vanished. Using the corrected flow curves, the power-law constitutive equation of the alloy was established and the variation of constitutive constants with strain was determined. Moreover, it was found that deformation heating introduces an average relative error of about 9.5% at temperature of 800 °C and strain rate of 0.1 s−1. The very good agreement between the fitted flow stress (by constitutive equation) and the measured ones indicates the accuracy of the constitutive equation in analyzing the hot deformation behavior of equi-atomic NiTi alloy.
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T. Duerig, A. Pelton, and D. Stöckel, An Overview of Nitinol Medical Applications, Mater. Sci. Eng. A, 1999, 273, p 149–160
D.C. Lagoudas, Shape Memory Alloys Modeling and Engineering Applications, 1st ed., Springer, 2008, p 30
M.H. Wu, Fabrication of Nitinol Materials and Components, Mater. Sci. Forum, 2002, 285, p 394–395
L. Li, J. Zhou, and J. Duszczyk, Determination of Constitutive Relationship for AZ31B Alloy and Validation Through Comparison Between Simulated and Real Extrusion, J. Mater. Process. Technol., 2006, 172, p 372–380
A.K. Ghosh, On the Measurement of Strain-Rate Sensitivity for Deformation Mechanism in Conventional and Ultra-Fine Grain Alloys, Mater. Sci. Eng. A, 2007, 463, p 36–40
R.L. Goetz and S.L. Semiatin, The Adiabatic Correction Factor for Deformation Heating During the Uniaxial Compression Test, J. Mater. Eng. Perform., 2001, 10, p 710–717
S. Bruschi, S. Poggio, F. Quadrini, and M.E. Tata, Workability of Ti-6Al-4V Alloy at High Temperatures and Strain Rates, Mater. Lett., 2004, 58, p 3622–3629
W. Zhang and S.H. Zhang, Correcting of Hot Compression Test and Constitutive Equation of NiTi, Acta Metall. Sinica, 2006, 42, p 1036–1040 (in chinese)
D.C. Lagadous and Zh. Bo, Thermomechanical Modeling of Polycrystalline SMAs Under Cyclic Loading, Part II: Material Characterization and Experimental Results for a Stable Transformation Cycle, Int. J. Eng. Sci., 1999, 37, p 1141–1173
R. Hu, P. Nash, Q. Chen, L. Zhang, and Y. Du, Heat Capacities of Several Al-Ni-Ti Compounds, Thermchim. Acta, 2009, 486, p 57–65
D.L. Baragar and A.F. Crawley, Frictional Effect on Flow Stress Determination at High Temperatures and Strain Rates, J. Mech. Work Technol., 1984, 9, p 291–299
M. Talebi Anaraki, M. Sanjari, and A. Akbarzadeh, Modeling of High Temperature Rheological Behavior of AZ61Mg-Alloy Using Inverse Method and ANN, Mater. Des., 2008, 29, p 1701–1708
R. Ebrahimi and A. Najafizadeh, A New Method for Evaluation of Friction in Bulk Metal Forming, J. Mater. Process. Technol., 2004, 152, p 136–143
H.J. McQueen and N.D. Ryan, Constitutive Analysis in Hot Working, Mater. Sci. Eng. A, 2002, 322, p 43–63
M. Haghshenas, A. Zarei-Hanzaki, S.M. Fatemi-Varzaneh, and H. Abedi, Hot Deformation Behavior of Thixocast A356 Aluminum Alloy During Compression at Elevated Temperature, Int. J. Mater. Form, 2008, 1, p 1001–1005
H.J. McQueen and C.A.C. Imbert, Dynamic Recrystallization: Plasticity Enhancing Structural Development, J. Alloys Compd., 2004, 378, p 35–43
A.R. Salehi and A. Karimi Taheri, Flow Behavior and Microstructural Evolution of 53Fe-26Ni-15Cr Superalloy During Hot Compression Test, Ironmak Steelmak, 2007, 34, p 151–156
S. Serajzadeh, Development of Constitutive Equations for a High Carbon Steel Using Additivity Rule, ISIJ. Int, 2003, 43, p 1050–1055
D. Yuan-Pei, L. Ping, X. Ke-min, Z. Qing, and W. Ziao-xi, Flow Behavior and Microstructure Evolution of TB8 Alloy During Hot Deformation Process, Trans. Nonferrous Met. Soc. China, 2007, 17, p 1199–1204
P.L. Charpentier, B.C. Store, S.C. Ernest, and J.F. Thomas, Characterization and Modeling of the High Temperature Flow Behavior of Aluminum Alloy 2024, Metall. Mater. Trans. A, 1968, 17A, p 2227–2237
R.F. Recht, Catastrophic Thermoplastic Shear, J. Appl. Mech. Trans. ASME, 1964, 31, p 189–193
A.A. Khamei and K. Dehghani, Modeling the Hot-Deformation Behavior of Ni60wt%-Ti40%wt Intermetallic Alloy, J. Alloys. Compd., 2010, 490, p 377–381
H. Zhang, Y. HE, X. Liu, and J. Xie, Hot Deformation Behavior and Constitutive Relationship of Ni-Ti Shape Memory Alloy During Compression at Elevated Temperatures, Acta Metall. Sinica, 2007, 43, p 930–936
S.M. Oppenheimer, A.R. Yung, and D.C. Dunand, Power-Law Creep in Equiatomic Nickel-Titanium Alloys, Scripta Mater., 2007, 57, p 377–380
C. Lexcellent, P. Robinet, J. Bernardini, D.L. Beke, and P. Olier, High Temperature Creep Measurements in Equi-Atomic NiTi Shape Memory Alloy, Materialwiss. Werkst., 2005, 36, p 509–512
A.K. Mukherjee, High-Temperature Creep Mechanism of NiTi, J. Appl. Phys., 1968, 39, p 2201–2204
K. Otsuka and X. Ren, Physical Metallurgy of Ti-Ni-Based Shape Memory Alloys, Prog. Mater. Sci., 2005, 50, p 511–678
C.P. Frick, A.M. Ortega, J. Tyber, K. Gall, and H.J. Maier, Multiscale Structure and Properties of Cast and Deformation Processed Polycrystalline NiTi Shape-Memory Alloys, Metall. Mater. Trans. A, 2004, 35, p 2013–2025
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The authors would like to thank the Sharif University of Technology, Tehran, Iran for the financial support and provision of the research facilities used in this study.
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Ahadi, A., Karimi Taheri, A., Karimi Taheri, K. et al. The Effect of Deformation Heating on Restoration and Constitutive Equation of a Wrought Equi-Atomic NiTi Alloy. J. of Materi Eng and Perform 21, 516–523 (2012). https://doi.org/10.1007/s11665-011-9936-x
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DOI: https://doi.org/10.1007/s11665-011-9936-x