Thermal Expansions of Heterogeneous Solids Containing Aligned Ellipsoidal Inclusions
- 1 April 1974
- journal article
- research article
- Published by SAGE Publications in Journal of Composite Materials
- Vol. 8 (4) , 391-404
- https://doi.org/10.1177/002199837400800407
Abstract
A theoretical study has been made to predict overall thermal expansion characteristics of a two-phase material consisting of a matrix and aligned ellipsoidal inclusions. The calculation is based on Eshelby's theory on the transformation problem; an approximate method is Introduced to account for the effect of finite concentrations of the inclusions. The following two cases are treated: elastic matrix-elastic inclusions and elastoplastic matrix- elastic inclusions. The results are explicitly obtained when shapes of the inclusions are spherical, disc-shaped, and fiber-shaped. The calculated over all thermal expansion coefficient for the case of elastic matrix-elastic spheres agrees with Kerner's prediction.Keywords
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