Some exact results concerning thermoelastic properties of hollow sphere composites

Thermoelastic properties of hollow sphere coloposites are studied based on the uniform malrix-field concept proposed here. Some connections bewteen local thermal and mechanical fields produced by certain homogeneous boundary conditins arederived, and furthermore, exact relations are also obtained between the effectivethermoelastic properties of the compostites. For a macroscopically isotropic compositewith a certain ratio of the outer radius to the inner radius, it is found that the effectivebulk modules and the linear coefficient of thermal expansion can be exactlydetermined, if the thermal expansion coeffieient of the matrix and that of the sphereare the same.