Fragmentation Modeling Using the Expectation Maximization Algorithm

Report No. ARL-TR-5508
Authors: Andrew A. Thompson
Date/Pages: April 2011; 22 pages
Abstract: The modeling of fractures typically uses the Poisson distribution to select the number of particles resulting from a fracture of a solid body. This applies to bullets when striking a plate. This report develops a method to model the number of subparticles using a mixture of Poisson distributions. The goal is to find the mixture with the smallest number of components that fits the data. Rather than attempting to find the distribution of λ, it is assumed the values of λ are clustered and the centroids of these clusters constitute a useful model.
Distribution: Approved for public release
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Last Update / Reviewed: April 1, 2011