Computer Simulation of Random and Non-Random Second-Phase Particle Distributions for Both Constant and Varying Particle Size
Abstract
Mechanical properties of two phase materials, such as strength, ductility and toughness, depend on the size and distribution of the second phase. However, no methods are presently available to accurately quantify the homogeneity of the distribution of the second phase. Here, random and non-random second-phase particle distributions have been simulated by computer and analyzed for various area fractions. Distributions of particles with a lognormal size distribution have been analyzed as well. A statistically sufficient number of particles for use in the model was determined and used for all simulations. Average first nearest neighbor spacing values for dilute arrays of particles approach those of Poisson distributions of infinitesimal points. As the particle density increases, the average spacing values approach those of hexagonal arrays. For low area fractions there is little distinction between random and non-random distributions, both from statistical and visual perspectives. For higher area fractions there is a discernable difference between the statistical data for random and non-random distributions, but the visual differences are more obvious. These observations hold for both constant size particles and particles with a lognormal size distribution. Particle distribution, Random distribution, Non-random distribution, Lognormal size distribution.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1992
- Accession Number
- ADA257700
Entities
People
- Mark S. Manfredi
Organizations
- Naval Postgraduate School