Analysis of distances between inclusions in finite binary stochastic materials

作者：Griesheimer David P^*; Millman David L; Willis Clarence R

来源：Journal of Quantitative Spectroscopy and Radiative Transfer, 2011, 112(4): 577-598.

DOI：10.1016/j.jqsrt.2010.06.013

• Stochastic mixture
• Monte Carlo
• Chord length sampling
• Stochastic transport
• Radiative transport

A generalized probability density PDF) describing the distribution of inter-inclusion distances in finite, isotropic, binary stochastic materials with fixed diameter inclusions has been developed and tested. The new probability density function explicitly accounts for edge effects present in finite two- and three-dimensional stochastic materials. The generalized PDF is shown to include factors that are dependent on both the geometry of the material region as well as the statistical properties of the material. A discussion of the properties and application of this newly developed PDF is provided along with supporting numerical results for case studies in one- and two-dimensions. These numerical results demonstrate the ability of the newly derived PDF to correctly account for edge effects in finite stochastic materials, while still reproducing the expected distribution within the bulk material region. Published by Elsevier Ltd.

• 出版日期2011-3