Journal of Materials Research and Technology (May 2025)

Probabilistic distribution model of grain boundary α phase length in titanium alloys

  • Huizhi Peng,
  • Wan Ye,
  • Jianwen Liu,
  • Shun Wu,
  • Yichi Zhang,
  • Yichi Zhang,
  • Yuman Zhu,
  • Alberto Boretti,
  • Aijun Huang

DOI
https://doi.org/10.1016/j.jmrt.2025.05.087
Journal volume & issue
Vol. 36
pp. 8860 – 8864

Abstract

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The grain boundary α phase (GB-α) is a crucial microstructure feature in many titanium alloys, significantly impacting their mechanical properties and performance in various applications. This work developed a probabilistic model for GB-α phase. In this model, the size of individual GB-α precipitates and centre-to-centre distance between nearby precipitates are defined by lognormal distributions. Then, considering the physical process of GB-α formation involving nucleation, growth, linkage, and coarsening, a probabilistic distribution was derived for GB-α lengths using the law of total probability. Validation across various heat-treated Ti–6Al–2Sn–4Zr–6Mo samples confirms that the GB-α lengths follow the proposed distribution. Additionally, based on limited characterization inputs, the probabilities of GB-α having specific lengths are predicted by our model within an error margin of 4 %. Furthermore, this model is extended to the size of crept-induced voids in Inconel 718 superalloy, demonstrating its potential applicability to microstructure features governed by similar physical process.

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