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http://dx.doi.org/10.3795/KSME-B.2004.28.2.189

Connectivity and Conductivity of a Three-Dimensional Checkerboard-Shaped Composite Material  

KIm, In-Chan (군산대학교 기계공학부)
Publication Information
Transactions of the Korean Society of Mechanical Engineers B / v.28, no.2, 2004 , pp. 189-198 More about this Journal
Abstract
We consider the problem of whether the three-dimensional checkerboard has the connectivity. For this purpose, we first consider the problem of determining the effective conductivity of a checkerboard-shaped composite material by the Brownian motion simulation method. Specifically, we use the efficient first-passage-time technique. Simulation results show that the effective conductivity of the three-dimensional checkerboard increases faster than the two-dimensional counterpart as the contrast between the phase conductivities increases. This implies that the three-dimensional checkerboard's connectivity is stronger than the two-dimensional checkerboard's and thus each phase material of the three-dimensional checkerboard is more likely to be connected than not to be connected.
Keywords
Checkerboard; Connectivity; Effective Conductivity; Brownian Motion Simulation Method; first-Passage-Time Technique;
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  • Reference
1 Stauffer, D., and Aharony, A., 1994, 'Introduction to Percolation Theory,' Taylor and Francis, London
2 Keller, J. B., 1964, 'A Theorem on the Conductivity of a Composite Medium,' Journal of Mathematical Physics, Vol. 5, pp. 548-549   DOI
3 Torquato, S., Kim, I. C. and Cule, D., 1999, 'Effective Conductivity, Dielectric Constant, and Diffusion Coefficient of Digitized Composite Media via First-Passage-Time Equations,' Journal of Applied Physics, Vol. 85, pp. 1560-1571   DOI   ScienceOn
4 Kim, I. C., and Torquato, S., 1990, 'Determination of the Effective Conductivity of Heterogeneous Media by Brownian Motion Simulation,' Journal of Applied Physics, Vol. 68, pp. 3892-3903   DOI
5 Miller, C. A., Kim, I. C. and Torquato, S., 1991, 'Trapping and Flow Among Random Arrays of Oriented Spheroidal Inclusions,' Journal of Chemical Physics, Vol. 94, pp. 5592-5598   DOI
6 Kim, I. C., 1993, 'Efficient Simulation Technique to Compute Effective Transport Properties of Anisotropic Heterogeous Media,' Proceedings of the sixth International Symposium on Transport Phenomena in Thermal Engineering, Seoul, Korea, pp. 1515-1519