Research Initiation Award: Microstructural Characterization of Nickel Aluminides Using Fracatal Geometry

目的是研究分形几何在表征镍铝化物微观结构中的应用。将使用数字成像技术对各种镍铝化物进行显微分析，并结合多重分形几何方法，为每个微观结构产生一组“多重分形维数”特征。它们既可用于微观结构预测，也可用于与屈服强度等宏观性质有关的预测。在镍铝化物微观结构中存在强烈的“自相似性”迹象，因此使其成为基于自相似性概念的分形分析的候选物。这些信息可以与诸如屈服强度之类的宏观特性相关。与目前使用的仅将屈服强度与一个参数（即晶粒尺寸）联系起来的方法相比，这代表了一个潜在的巨大改进。

The objective is to investigate the use of fractal geometry in the characterization of nickel aluminide microstructures. Various nickel aluminides will be analyzed microscopically using digital imaging techniques, in combination with the methods of multi-fractal geometry to produce a characteristic set of "multiple-fractal dimensions" for each microstructure. They can be used for both microstructural prediction and for relating to macroscopic properties such as yield strength. Strong indications of "self-similarity" exist in nickel aluminide microstructures, thus making them candidates for fractal analysis, which is based on the concept of self-similarity. The information which can then be related to macroscopic properties such as yield strength. This represents a potential vast improvement over currently used methods which relate yield strength to only one parameter, namely grain size.