Plastic flow modeling of Ti-5Al-2Sn-2Zr-4Mo-4Cr alloy at elevated temperatures and high strain rates

Abstract

The true stress-strain relationships of Ti-5Al-2Sn-2Zr-4Mo-4Cr(TC17) alloy with a wide range of strain rates were investigated by uniaxial quasi-static and dynamic compression tests, respectively. Quasistatic compression tests were carried out with Instron 8874 test machine, while dynamic compression tests were performed with the split Hopkinson pressure bar (SHPB) which was installed with heating device and synchroassembly system. The dynamic mechanical behaviors tests of TC17 were carried out from room temperature to 800 °C at intervals of 200 °C and at high strain rates (5 500–1 9200 s⁻¹). The stress-strain curves considering temperature-strain rate coupling actions were obtained. The Johnson-Cook constitutive model was developed through data fitting of the stress-strain curves. The material constants in the developed constitutive model can be determined using isothermal and adiabatic stress-strain curves at different strain rates. The Johnson-Cook constitutive model provided satisfied prediction of the plastic flow stress for TC17 alloy.

Keywords

Ti-5Al-2Sn-2Zr-4Mo-4Cr / SHPB / stress-strain curve / high temperature / high strain rate / dynamic constitutive relationship

References

[1] Kalpakjian S. Manufacturing Processes for Engineering Materials[M], 1997 Menlo Park: Addison-Wesley/Longman.

[2] Alexander S J M. On Problems of Plastic Flow of Materials[M], 1985 London: Elsevier Applied Science Publishers.

[3] Aviral S, Martin Baker. Determination of Johnson-Cook Parameters from Machining Simulations[J]. Computational Materials Science, 2012, 52: 298-304.

[4] Sellars C M, Tegart W J McG. Hot Workability[J]. International Metallurgical Reviews, 1972, 17(24): 1-24.

[5] Zerilli F J, Armstrong R W. Dislocation Mechanics-based Constitutive Relations for Material Dynamics Calculations[J]. Journal of Applied Physics, 1987, 61(5): 1 816-1 825.

[6] Zerilli F J, Armstrong R W. Dislocation of Tantalum Deformation Behavior by Dislocation Mechanics Based Constitutive Relations[J]. Journal of Applied Physics, 1990, 6(4): 1 580-1 591.

[7] Miller A K. Unified Constitutive Equations for Creep and Plasticity[M], 1987 New York: Elsevier Applied Science Publication Ltd..

[8] Bonder S R, Partom Y. Constitutive Equations for Elastic Viscoplastic Strain-hardening Materials[J]. ASME Journal of Applied Mechanics, 1975, 42: 385-389.

[9] Johnson G R, Cook W H. A Constructive Model and Data for Metals Subjected to Large Strains, High Strain Rates and High Temperatures[C]. Proc.7th Int.Symp. On Ballistics, April, 1983

[10] Chen W N, Song B. Split Hopkinson (Kolsky) Bar Design, Testing and Application[M], 2011 Berlin: Springer Science + Business Media, LLC..

[11] Jiang F, Li J F. Al7050-T7451 Turning Simulation Based on the Modified Power-law Material Model[J]. Int. J. Adv. Manuf. Technol., 2010, 48: 871-880.

[12] Boyer R, Welsch G, Collings E W. Materials Properties Handbook: Titanium Alloys[M], 1994 OH: ASM International.

[13] Akhtar Khan S, Yeong Sung Suh. Quasi-static and Dynamic Loading Responses and Constitutive Modeling of Titanium Alloys[J]. International Journal of Plasticity, 2004, 20: 2 233-2 248.

[14] Yigit Karpat. Temperature Dependent Flow Softening of Titanium Alloy Ti6Al4V: An Investigation using Finite Element Simulation of Machining[J]. Journal of Materials Processing Technology, 2011, 211: 737-749.

[15] Wang K X, Zeng W D. Hot Working of Ti-17 Titanium Alloy with Lamellar Starting Structure using 3-D Processing Maps[J]. J. Mater. Sci., 2010, 45: 5 883-5 891.

[16] Li Q, Xu Y B, Bassim M N. Dynamic Mechanical Properties in Relation to Adiabatic Shear Band Formation in Titanium Alloy Ti-17[J]. Materials Science and Engineering A., 2003, 358: 128-133.

[17] WoeiShyan L, ChiFeng Lin. Effects of Strain Rate and Temperature on Mechanical Behaviour of Ti-15Mo-5Zr-3Al Alloy[J]. Journal of the Mechanical Behavior of Biomedical Materials, 2008, I: 336-344.

[18] Jia W J, Zeng W D. High-temperature Deformation Behavior of Ti60 Titanium Alloy[J]. Materials Science and Engineering A, 2011, 528: 4 068-4 074.

[19] Chiou S-T, Tsai H-L, Lee W-Shyan. Effects of Strain Rate and Temperature on the Deformation and Fracture Behaviour of Titanium Alloy[J]. Materials Transactions, 2007, 48(9): 2 525-2 533.

[20] Wang Y, Zhou Y X. A Constitutive Description of Tensile Beha-vior for Brass over a Wide Range of Strain Rates[J]. Materials Science and Engineering A, 2004, 372: 186-190.