Abstract
Thermal stresses are studied in an isotropic particle-matrix system of homogeneously distributed spherical particles in an infinite matrix. The isotropic particle-matrix system is divided into cells containing the central spherical particle embedded in the matrix and is of dimensions equal to an interparticle distance. The cell surface is assumed to be acted on by nonzero stresses derived by a criterion of a minimum of the cell elastic energy of the thermal stresses. The thermal stresses originate during a cooling process as a consequence of the difference in thermal expansion coefficients between the matrix and the particle. The formulae for the thermal stresses acting in the isotropic cell-divided particle-matrix system for the ratio of a spherical particle volume to a cell volume vp = 0 reduce to those for the isotropic particle-matrix system of one spherical particle embedded in an infinite matrix. The thermal stresses are derived for spherical and cubic cells, depending on the spherical particle distribution.
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