Theoretical Analysis of the Effect of Substitutional Point Defects on Thermal Expansion

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Abstract
A thermal-expansion theory has been derived for primary solid-solution binary alloys treating the solute atoms as elastic spheres imbedded in an infinite elastic continuum and considering the interactions between the thermal expansion of these point defects and the matrix. The theory predicts that the thermal-expansion coefficient of the alloy can be determined from the thermal-expansion coefficients and the elastic constants of the constituents, and from the atomic volume of the solute atom. The theory is verified for various alloys in the temperature and composition ranges consistent with the assumptions of the theory; i.e., for temperature and composition ranges which obey the Grueneisen law of thermal expansion for the pure components and for the alloy.