Abstract
For the purpose of modeling the behavior of materials containing nonregular dispersions of second-phase particles, it is necessary to identify the parameters that best characterize the spatial distributions within the dispersions. For nonrandom dispersions it is proposed that the division of array space into Dirichlet regions centered on each particle will not only uniquely define near neighbors, but will enable clustering and the anisotropy of spacing to be dealt with in a systematic fashion. Using the Dirichlet tessellation procedure, a random array of points is shown to remain random during deformation, and three different classes of nonrandom dispersions are examined quantitatively.
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