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The Effect of the Interface on the Overall Thermal Conductivity of Multi-Phase Composites

Published online by Cambridge University Press:  10 February 2011

Robert Lipton*
Affiliation:
Department of Mathematical Sciences, Worcester Polytechnic Institute, 100 Institute Rd., Worcester, MA 01609, U.S.A.
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Abstract

Multi-phase particle reinforced heat conducting composites are considered. We treat the case when there is an interfacial thermal barrier between phases. We indicate how the particle size distribution and particle geometry influences the overall properties of the suspension. These results apply immediately to the mathematically analogous case of DC electrical conductivity in the presence of electrical contact resistance between phases.

Type
Research Article
Copyright
Copyright © Materials Research Society 1998

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References

REFERENCES

[1] Garret, K.W. and Rosenberg, H.M., J. Phys. D. Appl. Phys., 7, pp. 12471258 (1974).Google Scholar
[2] Every, A.G., Tzou, Y., Hasselman, D.P.H., and Raj, R., Acta Metall. Mater., 40, pp. 123129 (1992).Google Scholar
[3] Hasselman, D.P.H. and Donaldson, K.Y., J. Am. Ceram. Soc, 75, pp. 31373139 (1992).Google Scholar
[4] Chiew, Y.C. and Glandt, E.D., Chem. Eng. Sci., 42, pp. 26772685 (1987).Google Scholar
[5] Davis, L.C. and Arts, B.E., J. Appl. Phys., 77, p. 4954 (1995).Google Scholar
[6] Hasselman, D.P.H. and Johnson, L.F., J. Compos. Mater., 21, pp. 508515 (1987).Google Scholar
[7] Lipton, R., Journal of App. Phys., 80, pp. 55835586 (1996).Google Scholar
[8] Kuttler, J.R. and Sigillito, V.G., Jour. Math. Anal, and Applications, 23, pp. 148160 (1968).Google Scholar
[9] Bramble, J.H., and Payne, L.E., Pacific J. Math., 12, pp. 823833 (1967).Google Scholar
[10] Lipton, R., Journ. al of Composite Materials, 1 (1998).Google Scholar
[11] Chandrasekhar, S., Proc. Roy. Soc. London (A), 286, pp. 126.Google Scholar