An exact solution for the effective thermal conductivity of cracked bodies with oriented elliptical cracks
- 1 July 1989
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 66 (1) , 176-180
- https://doi.org/10.1063/1.343900
Abstract
A microgeometry is constructed for a cracked body with oriented elliptical cracks and an exact analytic solution is derived for its effective thermal conductivity. It is proved that the prediction of the ‘‘generalized self-consistent scheme’’ for the case of a cracked body with oriented elliptical cracks coincides with the obtained exact solution for the constructed microgeometry. Results are given for elliptical cracks of different aspect ratios.This publication has 8 references indexed in Scilit:
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