Mecke K (2003)
Publication Status: Published
Publication Type: Journal article
Publication year: 2003
Publisher: AMERICAN PHYSICAL SOC
Book Volume: 91
Journal Issue: 21
DOI: 10.1103/PhysRevLett.91.215506
We introduce a powerful method based on integral geometry and the Kac theorem for the spectrum of the Laplace operator to define the effective shape of an inclusion in a system made up of a distribution of arbitrarily shaped constituents. Reconstructing the microstructure using the effective inclusion shape leads to an excellent match to the percolation thresholds and to the mechanical and transport properties across all phase fractions. Use of the equivalent shape in effective medium formulations leads to good predictions. The method is verified for a sedimentary rock sample.
APA:
Mecke, K. (2003). Reconstructing complex materials via effective grain shapes. Physical Review Letters, 91(21). https://dx.doi.org/10.1103/PhysRevLett.91.215506
MLA:
Mecke, Klaus. "Reconstructing complex materials via effective grain shapes." Physical Review Letters 91.21 (2003).
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