Oxidation of Metals

, Volume 93, Issue 1–2, pp 215–227 | Cite as

Oxygen Diffusion Modeling in Titanium Alloys: New Elements on the Analysis of Microhardness Profiles

  • Nicolas VachéEmail author
  • Daniel Monceau
Original Paper


This study focuses on the diffusion of oxygen in titanium alloys during high-temperature oxidation. In particular, the model used to obtain thermokinetic coefficients from microhardness profiles was investigated. A literature review shows that microhardness profiles are modeled by a simple error function in the same way as oxygen concentration profiles obtained by microprobe analysis (EPMA). The analysis of literature shows that the hypothesis of a linear relationship between microhardness and oxygen content is not true over the entire oxygen concentration range and that a parabolic relationship is empirically more accurate. A new modeling equation taking into account this parabolic law is proposed as well as a simplified and easier to use form. The relative error of the diffusion coefficients obtained using the simplified equation was then determined. This new model was applied to the experimental microhardness profile of a Ti-6242s sample oxidized at 625 °C. The resulting oxygen diffusion coefficient is in excellent agreement with the one determined from EPMA profile using the classic error function model. Finally, other data from literature were analyzed with the new model to obtain an Arrhenius diagram of oxygen diffusivity in Ti-64 alloy between 550 and 850 °C. This diagram gives thermokinetic coefficients \(D_{0} = 1.1 \times 10^{ - 5} { \exp }\left( {\frac{{ - 191\,{\text{kJ/mol}}}}{RT}} \right)\) that are close to those reported for pure α-Ti in the temperature range 550–850 °C.


Titanium Oxidation Oxygen diffusion coefficient Microhardness profile Modeling 



The authors gratefully acknowledge the support of Airbus Operations SAS and the fruitful discussions with Benjamin Dod and Yannick Cadoret.


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© Springer Science+Business Media, LLC, part of Springer Nature 2020

Authors and Affiliations

  1. 1.CIRIMAT, CNRS, INP-ENSIACETUniversité de ToulouseToulouseFrance

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