To briefly discuss, I'd like to share a research article that has undergone a comprehensive review by the researcher, similar to above question:
Article The Johnson-Mehl-Avrami-Kolmogorov model: A brief review (*)
Now let me to write a brief response to your question now. The JMAK (Johnson-Mehl-Avrami-Kolmogorov) model is a mathematical model that describes the kinetics of phase transformations in materials. It is a non-isothermal model, which means that it takes into account the effect of cooling rate on the transformation kinetics. To determine the JMAK parameters for HSLA steel, you can use the following steps:
Conduct a continuous cooling transformation (CCT) diagram experiment. This experiment involves cooling a sample of HSLA steel from above the austenite to below the martensite start temperature at different cooling rates. The CCT diagram shows the start and finish temperatures of the different phase transformations as a function of cooling rate.
Conduct a time-temperature transformation (TTT) diagram experiment. This experiment involves cooling a sample of HSLA steel from above the austenite to below the martensite start temperature at a constant cooling rate and holding it at different temperatures for different lengths of time. The TTT diagram shows the start and finish temperatures of the different phase transformations as a function of holding time and temperature.
Use the CCT and TTT diagrams to determine the JMAK parameters. The rate constant k can be determined from the CCT diagram by fitting the JMAK equation to the experimental data. The Avrami exponent n can be determined from the TTT diagram by fitting the JMAK equation to the experimental data.
It is important to note that the JMAK parameters are dependent on the chemical composition and microstructure of the HSLA steel. Therefore, it is necessary to conduct CCT and TTT diagram experiments on the specific HSLA steel that you are interested in. It is also important to note that the JMAK parameters can be determined from thermal simulation experiments. Thermal simulation experiments can be used to predict the CCT and TTT diagrams for a given HSLA steel. The JMAK parameters can then be determined from the predicted CCT and TTT diagrams.
Some of YT videos, not related to your question but for better understanding of the materials are given below:
Microstructure Characterization and Post-Heat Treatment Design for High-Strength Low-Alloy Steels https://www.youtube.com/watch?v=-1E-JrvjpL0&ab_channel=ASMInternational
Micromechanical modelling of cracked welded joints made of HSLA steel https://www.youtube.com/watch?v=7nDHqBzleQs&ab_channel=EuropeanStructuralIntegritySociety
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