Reference: A.P. Roberts and E.J. Garboczi, J. Mech. Phys. Solids 47, 2029-2055 (1999).
(PDF Version of Original paper)
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Next: Introduction
Elastic properties of a tungsten-silver composite by
reconstruction and
computation
A. P. Roberts1
University of Oxford, Department of Materials,
Parks Rd, Oxford OX1-3PH, U.K.
E. J. Garboczi
Building Materials Division,
National Institute of Standards and
Technology,
100 Bureau Drive Stop 8621, Gaithersburg, MD 20899-8621, U.S.A.
Abstract:
We statistically reconstruct a three-dimensional model
of a tungsten-silver composite from an experimental two-dimensional
image.
The effective Young's modulus (E) of the model is computed in
the temperature range 25-1060ºC using a finite element method.
The results are in good agreement with experimental data.
As a test case, we have reconstructed the microstructure and
computed the moduli of the
overlapping sphere model.
The reconstructed and overlapping sphere models are examples of bi-continuous
(non-particulate) media.
The computed moduli of the models are not generally in good
agreement with the predictions of the self-consistent method.
We have also evaluated three-point variational bounds on
the Young's moduli of the models using the results of Beran, Molyneux,
Milton and Phan-Thien. The measured data were close to the
upper bound if the properties of the two phases were similar
( 1/6 < E1 / E2 < 6).
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