Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1999-02-04
Physical Review E, Vol. 54, Pages 2313-2328 (1996)
Physics
Condensed Matter
Disordered Systems and Neural Networks
16 pages, 19 figures
Scientific paper
10.1103/PhysRevE.54.2313
We investigate the effective properties (conductivity, diffusivity and elastic moduli) of model random composite media derived from Gaussian random fields and overlapping hollow spheres. The morphologies generated in the models exhibit low percolation thresholds and give a realistic representation of the complex microstructure observed in many classes of composites. The statistical correlation functions of the models are derived and used to evaluate rigorous bounds on each property. Simulation of the effective conductivity is used to demonstrate the applicability of the bounds. The key morphological features which effect composite properties are discussed.
Knackstedt Mark
Roberts Anthony
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