Effective transport properties of random composites: Continuum calculations versus mapping to a network
Name
Chen-2009-Effective transport properties of random composites.pdf
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316.96 KB
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Adobe PDF
Checksum (MD5)
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Author(s)
Chen, Ying
Schuh, Christopher A.
Date Issued
October 2009
Journal
Physical Review E
Publisher
American Physical Society
Citation
Chen, Ying , and Christopher A. Schuh. “Effective transport properties of random composites: Continuum calculations versus mapping to a network.” Physical Review E 80.4 (2009): 040103. © 2009 The American Physical Society
Version
Final published version
Abstract
The effective transport properties and percolation of continuum composites have commonly been studied using discrete models, i.e., by mapping the continuum to a lattice or network. In this study we instead directly solve the continuum transport equations for composite microstructures both analytically and numerically, and we extract the continuum percolation threshold and scaling exponents for the two-dimensional square tile system. We especially focus on the role of corner contacts on flux flow and further show that mapping such “random checkerboard” systems to a network leads to a spurious secondary percolation threshold and causes shifts in the critical scaling exponents of the effective transport properties.
MIT Department
Massachusetts Institute of Technology. Department of Materials Science and Engineering
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
http://dx.doi.org/10.1103/PhysRevE.80.040103
