Planar Anisotropy, Tension–Compression Asymmetry, and Deep Drawing Behavior of Commercially Pure Titanium at Room Temperature

  • P. Lin
  • Y. G. Hao
  • B. Y. Zhang
  • C. Z. ChiEmail author
  • X. L. Cui
  • J. Shen
  • D. S. Gao


The planar anisotropy (PA) and tension–compression asymmetry (TCA) of the CP-Ti were investigated via uniaxial tension and compression tests at room temperature. The formability and the earing behavior of the CP-Ti sheet were studied via deep drawing experiment. The deep drawing simulations using the uniaxial tensile and the compressive curves as the hardening rules were compared with each other and with the experimental results. The CP-Ti sheet showed PA and TCA in yielding and strain hardening. The PA was characterized by the plastic strain ratio r0, r45, and r90 of 1.47, 2.06, and 2.05. The TCA showed PA, which showed tension–compression yield strength ratios of 1.12, 1.08, and 1.04 in 0°, 45°, and 90° in the rolling direction, and tensile and compressive hardening exponent ratios of 0.86, 0.8, and 0.62. The orientation distribution functions (ODFs) analysis demonstrated that the tensile and the compressive deformation textures were different and showed PA. The simulative results, including the simulated forming force and the earing profiles using the uniaxial tensile and compressive curves as the hardening rules, were not in agreement with each other. The results were not in good agreement with the experimental results, implying that the TCA had an important effect on the formability of the sheet. The TCA tended to reduce the thickness of the deep drawing parts, increase the earing ratio, and affect the drawing force.


deep drawing FEM ODFs planar anisotropy tension–compression asymmetry 



This work was supported by the National Natural Science Foundation of China (Nos. 51505323 and U1302275) and State Key Laboratory of Advanced Welding and Joining, Harbin Institute of Technology. The authors wish to express their gratitude to the funding.


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Copyright information

© ASM International 2019

Authors and Affiliations

  • P. Lin
    • 1
    • 2
  • Y. G. Hao
    • 1
  • B. Y. Zhang
    • 3
  • C. Z. Chi
    • 1
    Email author
  • X. L. Cui
    • 1
  • J. Shen
    • 4
  • D. S. Gao
    • 5
  1. 1.College of Materials Science and EngineeringTaiyuan University of TechnologyTaiyuanPeople’s Republic of China
  2. 2.State Key Laboratory of Advanced Welding and JoiningHarbin Institute of TechnologyHarbinPeople’s Republic of China
  3. 3.School of Materials Science and EngineeringHarbin Institute of TechnologyHarbinPeople’s Republic of China
  4. 4.School of Materials Science and EngineeringTongji UniversityShanghaiPeople’s Republic of China
  5. 5.Xinzhou City of Quality and Technical Supervision and Inspection and TestingXinzhouPeople’s Republic of China

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