Dislocation Density-Based Model for Flow Behavior of a Near-α Titanium Alloy Considering Effects of Initial Lamellar Thickness

  • Hui LiEmail author
  • Zhanglong ZhaoEmail author
  • Hongzhen Guo
  • Yongquan Ning
  • Zekun Yao


A dislocation density-based constitutive model that considered the effects of initial lamellar thickness was proposed to predict the flow behavior of a near-α high-temperature Ti-5.4Al-3.7Sn-3.3Zr-0.5Mo-0.4Si alloy. The evolution equations of dislocation density were improved by introducing the influence of the dynamic globularization of lamellar microstructure with different initial thicknesses. The evolution equations and Hall-Petch behavior were coupled into the constitutive model, which was composed of athermal and thermal stresses. According to the established constitutive equations, the variation and contributions of corresponding stress components were analyzed. The calculated dislocation densities were compared with the experimental values obtained by electron backscattered diffraction data to verify the model. Moreover, the flow stresses of the studied alloy with different initial lamellar microstructures under various deformation conditions were predicted. Good agreements between the predicted and experimental results were obtained. Additionally, steady-state flow behavior was further analyzed and the relationship between the calculated steady-state flow stress and the equiaxed α-phase size was quantitatively obtained. The results indicated the validity of the proposed constitutive model for predicting the flow behavior of the alloy with different initial lamellar microstructures over a range of deformation temperatures and strain rates.


alpha lamellar thickness dislocation density high-temperature titanium alloy physically based model 



This study was financially supported by the Fundamental Research Funds for the Central Universities (No. 3102016ZY010), the National Natural Science Foundation of Shaanxi Province (No. 2015JQ5152) and the National Natural Science Foundation of China (No. 51205319).


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Copyright information

© ASM International 2019

Authors and Affiliations

  1. 1.School of Materials Science and EngineeringNorthwestern Polytechnical UniversityXi’anPeople’s Republic of China

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