Expressions are derived for the effect of penny-shaped cracks of various orientations on the thermal conductivity of solid materials.
Get full access to this article
View all access options for this article.
References
1.
W.R. Buessum, "Internal Ruptures and Recombinations in Anisotropic Ceramic Materials ," Mechanical Properties of Engineering Ceramics, Ed. by W. W. Kriegel and H. Palmour III.Wiley-Interscience, New York (1961), p. 127.
2.
J.A. Kuszyk and R.C. Bradt, "Influence of Grain Size on Effects of Thermal Expansion Anisotropy in MgTi2O5," J. Amer. Ceram. Soc., Vol. 56 ( 1973 ), p. 420.
3.
H.J. Siebeneck , D.P.H. Hasselman, J.J. Cleveland andR.C. Bradt, "Effect of Microcracking on the Thermal Diffusivity of Fe2TiO5 ," J Amer Ceram. Soc , Vol. 59 (1976 ), p. 241.
4.
R.C. Rossi, "Thermal-Shock-Resistant Ceramic Composites," Bull Am Ceram. Soc., Vol. 48 (1969), p. 736.
5.
D.P.H. Hasselman , "Unified Theory of Thermal Shock Fracture Initiation and Crack Propagation in Brittle Ceramics," J. Am. Ceram. Soc., Vol. 52 (11) (1969), p. 600.
6.
J.P. Berry, "Some Kinetic Considerations of the Griffith Criterion for Fracture," I and II, J. Mech. Phys. Solids, Vol. 8, (1960), p. 194 and 206.
7.
J.B. Walsh, "Effect of Cracks on the Compressibility of Rock," J. Geophys Res , Vol. 70, (1965 ), p. 381.
8.
H. Fricke, "The Electrical Conductivity of a Suspension of Homogeneous Spheroids ," Phys. Rev. Vol. 24 (1924), p. 575.
9.
A.E. Powers, "Conductivity in Aggregates," Knolls Atomic Power Laboratory Report, KAPL-2145, March 1961.
10.
H.S. Carslaw and J.C. Jaeger, Conduction of Heat in Solids , 2nd Ed., Oxford University Press, London, 1959, p. 427.
