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Theory of Microstructure Evolution in Heterogeneous Materials

Published online by Cambridge University Press:  21 February 2011

Sokrates T. Pantelides
Sokrates T. Pantelides*
Affiliation:
IBM Research Division, T. J. Watson Research Center, Yorktown Heights, NY 10598
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Abstract

This paper summarizes the main ingredients of a general theory for a quantitative description of dynamical processes in heterogeneous materials under stresses, thermal cycling, or current. The theory is derived analytically from the atomic scale using the principles of quantum mechanics and statistical mechanics, without any empirical postulates. The equations describe the cross-coupled phenomena of stress-induced diffusion, diffusion-induced stress, electromigration, void growth, dislocation climb, and slip. The laws of continuum mechanics are recovered as a subset of the general equations. All constitutive relations can be constructed by a general and systematic procedure.

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