Thermal Expansions of Heterogeneous Solids Containing Aligned Ellipsoidal Inclusions

Author:

Wakashima K.1,Otsuka M.1,Umekawa S.1

Affiliation:

1. Research Laboratory of Precision Machinery and Electronics Tokyo Institute of Technology Ookayama, Meguro-ku, Tokyo 152, Japan

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.

Publisher

SAGE Publications

Subject

Materials Chemistry,Mechanical Engineering,Mechanics of Materials,Ceramics and Composites

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