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Digital-Image-Based Study of Circular Holes in an Elastic Matrix

Published online by Cambridge University Press:  21 February 2011

A. R. Day
Affiliation:
Marquette University Dept. of Physics, Milwaukee, WI 53233
M. F. Thorpe
Affiliation:
Michigan State University, Dept. of Physics and Astronomy, East Lansing, MI 48824
K. A. Snyder
Affiliation:
National Institute of Standards and Technology, Building Materials Division, Bldg. 226, Room B348, Gaithersburg, MD 20899
E. J. GarBoczi
Affiliation:
National Institute of Standards and Technology, Building Materials Division, Bldg. 226, Room B348, Gaithersburg, MD 20899
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Abstract

Using a digital-image-based representation of a continuum composite, we apply computer simulation techniques to obtain the elastic moduli of a matrix containing randomly-centered circular voids. As the area fraction of the voids increases, the elastic moduli of the composite decrease until they eventually vanish at the percolation threshold. We compare our results with an effective medium theory, which predicts that Poisson ratio tends to a fixed value as the percolation threshold is approached, independent of the values of the elastic moduli in the pure system. Our results are also compared with recent experimental results.

Type
Research Article
Copyright
Copyright © Materials Research Society 1991

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