Abstract
Modeling is a quantitative approach to the design of steels, other materials, and processes. This chapter illustrates how the design process can be enhanced using models, which can be of different kinds. Blind procedures, as regression analysis, are one type that deals with the recognition of patterns in experimental data. Models based on firm physical principles have predictive capabilities. Steels are useful materials because of their sophistication and low cost. The mechanism of transformation is utilized to reduce the fraction of the detrimental phase. The major component of this model is the physical metallurgy of the transformation. The evolution of the volume fraction requires the additional treatment of impingement between particles, which nucleate at different locations. The usual approach when dealing with difficult problems is to correlate the results against chosen variables using linear regression analysis, a more powerful method of empirical analysis involves the use of neural networks, which have tremendous success in the quantitative treatment of structure-property relationships.
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