Abstract
Heritage data for the class of 9 to 12 wt pct Cr steels are studied using data science to quantify the statistically significant relationships among multiple processing/microstructure and performance variables. The effort is undertaken to find new martensitic steels for creep life of \(10^5{{\text { hours}}}\) or greater at 650 °C and 100 MPa using machine learning. Linear regression and lasso regression were utilized to identify alloying elements that contribute towards better creep strength. Visualization techniques such as t-distributed stochastic neighbor embedding and pair-wire element specific comparisons were utilized to explore information gaps that exist within the data and are in conflict with existing domain knowledge. Combining all results suggest that the next alloy design to be explored should be 9 wt pct Cr with high W (2 to 3 wt pct) and high Co (2 to 3 wt pct) for creep life of \(10^5\,\,{\text { hours}}\) or greater at 650 °C, 100 MPa.
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Acknowledgments
This work made use of the High Performance Computing Resource in the Core Facility for Advanced Research Computing at Case Western Reserve University. This project was funded by the Department of Energy (Grant DE-FE0028685), National Energy Technology Laboratory, an agency of the United States Government.
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Appendix A: Regression Coefficients
Appendix A: Regression Coefficients
The rank-ordered contributors presented in Tables II through V represents the fitted equations, minus the magnitude of regression coefficients. For example, rupture time (RT) model in Table III can be translated to:
The magnitude of regression coefficients are a function of magnitude of the associated variable. For example, change in B at ppm level may bring about small changes in response, although being the changes at ppm level will push the magnitude of regression coefficient to a very high value. This might appear to a reader at first glance that changes in B might bring about better results than W or Co. As the focus is on inference throughout the paper, except for Section III–C, the positive and negative signs served the purpose for the results, and avoided the unwanted confusion. Here, we present regression coefficients and their scaled counterparts to show the complete breadth of the fitted models. The scaling was done by subtracting the mean and dividing by the standard deviation of a variable (Table AI through AIV).
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Verma, A.K., Hawk, J.A., Bruckman, L.S. et al. Mapping Multivariate Influence of Alloying Elements on Creep Behavior for Design of New Martensitic Steels. Metall Mater Trans A 50, 3106–3120 (2019). https://doi.org/10.1007/s11661-019-05234-9
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DOI: https://doi.org/10.1007/s11661-019-05234-9