Computer simulation of random and non-random second-phase particle distributions for both constant and varying particle size
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Authors
Manfredi, Mark S.
Subjects
Particle distribution
Non-random distribution
Lognormal size distribution
Random distribution
Non-random distribution
Lognormal size distribution
Random distribution
Advisors
McNelley, Terry R.
Date of Issue
1992-09
Date
September 1992
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
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. Random and non-random second phase particle distribution have been simulated by computer and analyzed for various area fractions. Distribution of particles with a lognormal size distribution have been analyzed as well. Statistically sufficient number of particles for use in the model was determined and used for all simulations. Average first nearer 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 discernible difference between the statistical data for random and non-random distributions, but the visual differences are more obvious. These observation hold for both constant size particles and particle with a lognormal size distribution.
Type
Thesis
Description
Series/Report No
Department
Mechanical Engineering
Organization
Naval Postgraduate School
Identifiers
NPS Report Number
Sponsors
Funding
Format
110 p.
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.