Abstract
Hume-Rothery rules, occupying a central space at the heart of metallurgy, are one of the most important rules in materials science. One limitation to the binary alloys is the lack of predictable tools for understanding the relationship between alloy structure and solid solubility. In this paper, with Hume-Rothery rules, we demonstrated the proposed method could be used to give quantitative analysis of solid solubility. Then a hybrid Fuzzy-SVM (Support Vector Machines) method is proposed to predict solid solubility of binary alloy systems. In the study of silver and copper alloy, our methods successfully revealed the understandable relationship between structures (atom size, valency, and electronegativity) and properties (solid solubility). A similar fuzzy rule like H-R’s 15% rule was found and an estimation to the solid solubility was given.
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