Abstract
In this study, the pure titanium sheets with thickness of 1 mm are deformed 1-5 times in the form of bending–unbending cyclic deformation. The bending angles before and after unbending are 120° and 180°, respectively. Mechanical properties of samples during cyclic deformation, including \(M /(BH)^{2}\)-surface strain curve and spring back in each bending cycle, have been investigated. Moreover, the twinning/detwinning behavior and texture evolution in three typical bending layers (i.e., the tensile layer, neutral layer and compressive layer) in cyclic deformation have been tested by EBSD and TEM, and analyzed systematically. The results indicate that the most intensive twins, consist of similar proportion of tensile and compressive ones, distribute in the inner layer after 1st bending. While they disappear almost entirely after 1st unbending. The twins in outer layer could also be detwinned, and the new twins could be activated during 1st unbending. Besides, the twin density increases obviously and the residual twins could not be detwinned clearly after multiple passes of cyclic deformation. Moreover, the Schmid factor along the \(\sigma_{2}\) direction functions in the activation of twin variants regardless of the three-direction stress states.
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References
K. Gall and H.J. Maier, Cyclic Deformation Mechanisms in Precipitated NiTi Shape Memory Alloys, Acta Mater., 2002, 50, p 4643–4657
I.N. Vladimirov, M.P. Pietryga, and S. Reese, Anisotropic Finite Elastoplasticity with Nonlinear Kinematic and Isotropic Hardening and Application to Sheet Metal Forming, Int J Plast., 2010, 26, p 659–687
I. Hayashi, M. Sato, and M. Kuroda, Strain Hardening in Bent Copper Foils, J. Mech. Phys. Solids, 2011, 59, p 1731–1751
F. Yoshida and T. Uemori, A Model of Large-Strain Cyclic Plasticity and Its Application to Springback Simulation, Key Eng. Mater., 2003, 233–236, p 1687–1702
W. Prager, A New Method of Analyzing Stresses and Strains in Work Hardening Plastic Solids, J. Appl. Mech, 1956, 23, p 493–496
M. Brunet, F. Morestin, and S. Godereaux, Nonlinear Kinematic Hardening Identification for Anisotropic Sheet Metals With Bending-Unbending Tests, J. Eng. Mater. Technol., 2001, 123, p 378–383
J.L. Chaboche, Time-Independent Constitutive Theories for Cyclic Plasticity, Int. J. Plast., 1986, 2, p 149–188
M. Habibnejad-Korayem, M.K. Jain, and R.K. Mishra, Microstructure Modification and Bendability Improvement of AZ31 Magnesium Sheet by Bending-Unbending and Annealing Process, Mater. Sci. Eng. A Struct., 2015, 648, p 371–384
G.A. Lucachick and L.R. Sanchez, Surface Topography Changes in Aluminum Alloy Sheet During Large Plastic Straining Under Cyclic Pure Bending, J. Mater. Process. Technol., 2013, 213, p 300–307
Q. Huo, X. Yang, J. Ma, H. Sun, J. Qin, and Y. Jiang, Microstructural and Textural Evolution of AZ61 Magnesium Alloy Sheet During Bidirectional Cyclic Bending, Mater. Charact., 2013, 79, p 43–51
H. Ning, Y. Yu, K. Lin, and L. Wen, Superplastic Properties of AZ31 and AZ31-1.0Y-1.3Sr Alloy Produced by Twin-Roll Casting and Sequential Hot Rolling, J. Mater. Eng. Perform., 2016, 25, p 1–7
J.Y. Liu and K.F. Zhang, Promotion Mechanism of Electric Current on SiC/Al Composite Material Deformation, Mater. Sci. Technol. (Lond.), 2015, 31, p 468–473
J.W. Won, D. Kim, S.G. Hong, and S.L. Chong, Anisotropy in Twinning Characteristics and Texture Evolution of Rolling Textured High Purity Alpha Phase Titanium, J. Alloys Compd., 2016, 683, p 92–99
J. Xu, J. Li, L. Shi, D. Shan, and B. Guo, Effects of Temperature, Strain Rate and Specimen Size on the Deformation Behaviors at Micro/Meso-Scale in Ultrafine-Grained Pure Al, Mater. Charact., 2015, 109, p 181–188
D.-K. Leu and Z.-W. Zhuang, Springback Prediction of the Vee Bending Process for High-Strength Steel Sheets, J. Mech. Sci. Technol., 2016, 30, p 1077–1084
S. Nemat-Nasser, W.G. Guo, and J.Y. Cheng, Mechanical Properties and Deformation Mechanisms of a Commercially Pure Titanium, Acta Mater., 1999, 47, p 3705–3720
T. Hama, H. Nagao, A. Kobuki, H. Fujimoto, and H. Takuda, Work-Hardening and Twinning Behaviors in a Commercially Pure Titanium Sheet Under Various Loading Paths, Mater. Sci. Eng. A Struct., 2014, 620, p 390–398
J. Carbonnière, S. Thuillier, F. Sabourin, M. Brunet, and P.Y. Manach, Comparison of the Work Hardening of Metallic Sheets in Bending–Unbending and Simple Shear, Int. J. Mech. Sci., 2009, 51, p 122–130
F. Yoshida, M. Urabe, and V.V. Toropov, Identification of Material Parameters in Constitutive Model for Sheet Metals from Cyclic Bending Tests, Int. J. Mech. Sci., 1998, 40, p 237–249
D. Nie, L. Zhen, and K. Zhang, Folding/Unfolding Properties of Metal Foils in Transformable Structure, J. Mater. Eng. Perform., 2017, 26, p 1–12
D. Deng and H. Murakawa, Numerical Simulation of Temperature Field and Residual Stress in Multi-pass Welds in Stainless Steel Pipe and Comparison with Experimental Measurements, Comput. Mater. Sci., 2006, 37, p 269–277
S.K. Sahoo, R.K. Sabat, B.D. Bishoyi, A.G.S. Anjani, and S. Suwas, Effect of Strain-Paths on Mechanical Properties of Hot Rolled Commercially Pure Titanium, Mater. Lett., 2016, 180, p 166–169
H. Nie, W. Liang, L. Zheng, X. Ren, C. Chi, and H. Fan, The Microstructure, Texture and Mechanical Properties of the Rolled Al/Mg/Al Clad Sheets, J. Mater. Eng. Perform., 2016, 25, p 4695–4705
K. Ahn, H. Huh, and J. Yoon, Strain Hardening Model of Pure Titanium Considering Effects of Deformation Twinning, Met. Mater. Int., 2013, 19, p 749–758
D. Sarker, J. Friedman, and D.L. Chen, De-twinning and Texture Change in an Extruded AM30 Magnesium Alloy During Compression Along Normal Direction, J. Mater. Sci. Technol., 2015, 31, p 264–268
H. Becker and W. Pantleon, Work-Hardening Stages and Deformation Mechanism Maps During Tensile Deformation of Commercially Pure Titanium, Comput. Mater. Sci., 2013, 76, p 52–59
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The authors are grateful for the financial help from the National Natural Science Foundation of China (No. 51675125).
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Nie, D., Lu, Z. & Zhang, K. Mechanical Properties and Microstructure Evolution During Bending–Unbending Deformation of Pure Titanium Sheet. J. of Materi Eng and Perform 27, 705–713 (2018). https://doi.org/10.1007/s11665-017-3109-5
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DOI: https://doi.org/10.1007/s11665-017-3109-5