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Disorder and Scaling in Regular and Hierarchical Composites

Published online by Cambridge University Press:  21 February 2011

P. M. Duxbury*
Affiliation:
Dept. of Physics and Astronomy and Center for Fundamental Materials Research, Michigan State University.
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Abstract

We first summarize the scaling behavior of breakdown strengths and transport and elastic moduli of random two phase composites. We then consider the effect of disorder on two hierarchical structures. The first, a tree-like structure illustrates the fact that disordered trees, such as occur in many natural circulatory systems, show large fluctuations in their conductance and current flow. The second, a continuous fiber composite (CFC), leads us to suggest that, due to its greater flaw tolerance, a hierarchical microstructural design may improve the longitudinal and transverse toughness of CFC's.

Type
Research Article
Copyright
Copyright © Materials Research Society 1992

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