Transport and Elastic Properties of Fractal Media

Details Transport and Elastic Properties of Fractal Media Transport and Elastic Properties of Fractal Media

2000-04-27

arxiv.org/abs/cond-mat/0004463v1

Physica A Vol. 233 (1996) p848-858

Physics

Condensed Matter

Materials Science

10 pages, 6 figures

Scientific paper

10.1016/S0378-4371(96)00198-7

We investigate the influence of fractal structure on material properties. We calculate the statistical correlation functions of fractal media defined by level-cut Gaussian random fields. This allows the modeling of both surface fractal and mass fractal materials. Variational bounds on the conductivity, diffusivity and elastic moduli of the materials are evaluated. We find that a fractally rough interface has a relatively strong influence on the properties of composites. In contrast a fractal volume (mass) has little effect on material properties.

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