## Statistical Modeling of Microstructure with Applications to Eeective Property Computation in Materials Science

- Robert E. Derr, Chuanshu Ji, +7 authors Bernhard D. Flury
- 1999

Highly Influenced

11 Excerpts

- Published 1987

Computer simulation results are reported for the two-pomt matrix probablhty function Sz of two-phase random media composed of disks dlstrlbuted with an arbitrary degree of lmpenetrablhty I The novel techmque employed to sample SJr) (wiuch gives the probab&y of Iindmg the endpomts of a hne segment of length r In the matnx) IS very accurate and has a fast execution time Results for the hmltmg cases 1= 0 (fully penetrable disks) and 1= 1 (hard disks), respectively, compare very favorably with theoretIca predIctIons made by Torquato and Beasley and by Torquato and Lado Results are also reported for several values of I that he between these two extremes cases which heretofore have not been exammed ‘Em 1988

@inproceedings{Smith1987ComputerSR,
title={Computer Simulation Results for the Two-Point Probability Function of Composite Media},
author={Paul J. Smith},
year={1987}
}