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Constitutive Modeling for Hot Working Behavior of SP-700 Titanium Alloy

  • Sheikhali, Amir Hossein1
  • Morakkabati, Maryam1
  • Abbasi, Seyed Mahdi1
  • 1 Malek Ashtar University of Technology, Lavizan, Tehran, Iran , Tehran (Iran)
Published Article
Journal of Materials Engineering and Performance
Springer US
Publication Date
Sep 30, 2019
DOI: 10.1007/s11665-019-04355-x
Springer Nature


In this paper, the constitutive modeling and hot deformation behavior of SP-700 titanium alloy was investigated by performing isothermal hot compression tests in the temperature range of 700-950 °C and strain rates of 0.001, 0.1, and 1 s−1. The flow curves of the alloy indicated that the yield point phenomenon occurs at strain rates of 0.1 and 1 s−1. The friction, adiabatic heating, and stroke-rate controlling effects were eliminated from the raw data. Then, three types of phenomenological constitutive models, considering the compensation of strain, were used to predict the flow stresses of the alloy. The correlation coefficients (R2) of the measured and predicted results for the power-law, hyperbolic-sine law, and dynamic softening models were found to be 0.9790, 0.9883, and 0.9877, respectively. The corresponding average absolute relative errors (AARE) were 6.3, 5.9, and 7.45%, respectively. The flow softening behavior of SP-700 alloy was modeled using the combined hyperbolic-sine law and dynamic softening model approach. The predicted flow stresses were in a good agreement with the experimental data, indicated that the developed models can accurately characterize flow behavior of the alloy. In addition, the strain-rate sensitivity (m) distribution map of the alloy was obtained by plotting the m-value against temperature and strain rate in the form of a contour map. There was the maximum of m-value (0.36) in the temperature ranges of 700-715 and 837-875 °C, and strain rates of 0.001-0.006 s−1. The microstructure of hot deformed at 700 °C mainly consists of globularized and lamellar α phase, while dynamic globularization was completed at 800 °C. The hot deformation activation energy of the alloy in α/β region (305.5 kJ mol−1) was higher than that in single-phase β region (165.2 kJ mol−1) due to the globularization of lamellar α.

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