An electrochemomechanical theory of defects in ionic solids. I. Theory

N. Swaminathan, J. Qu, Y. Sun

Research output: Contribution to journalArticlepeer-review

94 Scopus citations

Abstract

Charged defects diffuse through an ionic solid under electrochemical driving forces. Such a diffusion process can be affected by mechanical stresses in the solid. A deviation of defect concentration from its stoichiometric value during diffusion can cause volumetric strains in the solid. Such strains will result in mechanical stresses if the ionic solid is under mechanical constraint, or if the defect distribution is non-uniform. We develop a framework to account for the coupling between mechanical stresses and diffusion of charged defects in ionic solids. The framework consists of a system of nonlinear differential/algebraic equations governing the defect concentrations, electrostatic potential and the mechanical stresses. It is believed that this framework is the first fully coupled theory for the interaction between mechanical stresses and electrochemical forces in ionic solids.

Original languageEnglish
Pages (from-to)1705-1721
Number of pages17
JournalPhilosophical Magazine
Volume87
Issue number11
DOIs
StatePublished - Apr 2007

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