Transport Cohesion
    The particle size distribution of an assembly of granular material largely dictates the properties exhibited by that assembly as well as the properties exhibited by materials made from those powders. Specifically, the microstructure of a particle assembly is important to the finished properties of powder metallurgy and ceramic-based materials. Industrially, control of the size distribution is often acquired through comminution -- for example in a ball mill. It has been estimated that size reduction via comminution requires as much as 106 Btu/ton for the grinding of brittle metallic ore. Optimization of such devices requires a detailed understanding of the dynamics of fracture and grinding, for which many theoretical and semi-empirical models exist. Experimental validation of these models is often difficult and their utility in describing industrial devices is uncertain. Through the use of discrete simulation techniques, controlled computer experiments can be used to verify existing models or to provide reliable data for the development of new ones. This work would focus on confirming or expanding existing theories as well as applying these theories to industrially relevant problems in an attempt to optimize the size reduction process.

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