P_06: Precipitation of γ’ in Ni Superalloys - Non-isothermal

This example simulates the kinetics of precipitation of gamma prime (γ’) phase from gamma (γ) phase in Ni-8Al-8Cr and Ni-10Al-10Cr at.% alloys during continuous cooling from a super-solvus temperature. The simulation results can be compared with experimental results from Rojhirunsakool et al. [2013Roj].

DIS_FCC_A1 needs to be selected on the System Definer for both the thermodynamic and mobility databases. See Selecting the Disordered Phase as a Matrix Phase for details.

Example Settings

System (System Definer)
Database package Demo: Nickel-based Super Alloys (NIDEMO and MNIDEMO)
Elements Ni, Al, Cr
Conditions (Precipitation Calculator)
Composition (Ni-8Al-8Cr) Ni-8Al-8Cr Mole percent
Composition (Ni-10Al-10Cr) Ni-10Al-10Cr Mole percent
Matrix phase

DIS_FCC_A1 See Selecting the Disordered Phase as a Matrix Phase

Precipitate phase FCC_L12#2
Matrix Phase Data Parameters (Precipitation Calculator)
Mobility adjustment > Prefactor (click Show Details to display this setting) Keep the default, Same for all elements, then enter 5.0 for the Prefactor.
Precipitate Phase Data Parameters (Precipitation Calculator)
Nucleation sites Bulk
Interfacial energy 0.023 J/m2
Calculation Type (Precipitation Calculator)
Calculation type Non-isothermal
Temperature unit Celsius
Time unit Seconds

Temperature

1150 - 380 °C

Edit Thermal Profile window example

Simulation time (Ni-8Al-8Cr) 3300 s
Simulation time (Ni-10Al-10Cr) 3300 s
Multimodal PSD (Plot Renderer)
Separate multimodal PSD checkbox is selected for 8Al-8Cr for both the Mean radius and PSD plots.
  • Mean Radius and PSD plots: The Inflection neighbors and Smoothing interactions defaults are kept.
  • Mean Radius plot: The Points are set to 15.
Separate multimodal PSD checkbox is selected for 10Al-10Cr for both the Mean radius and PSD plots.
  • Mean Radius and PSD plots: The Inflection neighbors and Smoothing interactions defaults are kept.
  • Mean Radius plot: The Points are set to 50.

Visualizations

Many of our Graphical Mode examples have video tutorials, which you can access in a variety of ways. When in Thermo‑Calc, from the menu select Help → Video Tutorials, or from the main My Project window, click Video Tutorials. Alternately, you can go to the website or our YouTube channel.

Open the example project file to review the node setup on the Project window and the associated settings on the Configuration window for each node. For some types of projects, you can also adjust settings on the Plot Renderer Configuration window to preview results before performing the simulation. Click Perform Tree to generate plots and tables to see the results on the Visualizations window.

When you run (Perform) this example, it takes a few minutes for the calculations to complete.

There is a variety of information shown in the Visualizations window that can be viewed during configuration and after performing the calculation.

  • Thermal Profile: When setting up a calculator on a Configuration window for Isothermal or Non-isothermal Calculation Types, you can preview the profile and adjust settings as needed. When you click a calculator node in the Project window, the matching name of the node is on the tab(s) displayed in the Visualizations window.

    For TTT Diagram and CCT Diagram calculations there is nothing shown for the Precipitation Calculator tab in the Visualizations window as there is no Thermal Profile to be defined.

  • Plot or Table results: After completing the set up and performing the calculation, to view the matching name of the node on tab(s) in the Visualizations window, either click a Plot Renderer or Table Renderer node in the Project window or click the tabs individually in the Visualizations window.

In this example, all nodes are renamed in the Project window, and this matches each of the tab names in the Visualizations window.

Thermal Profile for one of the Precipitation Calculators for example P_06. The naming matches between the Project window and tabs on the Visualizations window.

Figure 1: During set up of the calculation, you can preview the non-isothermal Thermal Profile(s). Click the tab in the Visualizations window to adjust settings on the Precipitation Calculator Configuration window. In this case the heat treatment is a continuous cooling curve, however any thermal profile can be modeled using the Non-isothermal Calculation Type.

These results show the predicted evolution of the mean radius of gamma prime populations nucleating during the quench for the Ni-8Al-8Cr alloy.

Figure 2: These results show the predicted evolution of the mean radius of gamma prime populations nucleating during the quench for the Ni-8Al-8Cr alloy. Note that the tertiary particles (second particle population) are very small, and this dispersion would appear monomodal without TEM characterization.

These results show the predicted evolution of the mean radius of gamma prime populations nucleating during the quench for the Ni-10Al-10Cr alloy. In this case three distinct particle populations are simulated to form, agreeing with [2013Roj].

Figure 3: These results show the predicted evolution of the mean radius of gamma prime populations nucleating during the quench for the Ni-10Al-10Cr alloy. In this case three distinct particle populations are simulated to form, agreeing with [2013Roj].

 These results show the predicted size distributions of precipitates at different times during the quench of the for the Ni-8Al-8Cr alloy. The individual particle populations are distinguished using the “Separate multimodal PSD” option showing a bimodal distribution with very small nano-meter sized tertiary particles

Figure 4: These results show the predicted size distributions of precipitates at different times during the quench of the for the Ni-8Al-8Cr alloy. The individual particle populations are distinguished using the “Separate multimodal PSD” option showing a bimodal distribution with very small nano-meter sized tertiary particles.

These results show the predicted size distributions of precipitates at different times during the quench of the for the Ni-10Al-10Cr alloy. The individual particle populations are distinguished using the “Separate multimodal PSD” option showing three large notable particle populations.

Figure 5: These results show the predicted size distributions of precipitates at different times during the quench for the Ni-10Al-10Cr alloy. The individual particle populations are distinguished using the “Separate multimodal PSD” option showing the formation of a tri-modal dispersion.

Reference

[2013Roj] T. Rojhirunsakool, S. Meher, J. Y. Hwang, S. Nag, J. Tiley, R. Banerjee, Influence of composition on monomodal versus multimodal γ′ precipitation in Ni–Al–Cr alloys. J. Mater. Sci. 48, 825–831 (2013).