A boundary value problem (Swaminathan et al., 2006) was solved in order to obtain the defect and stress distributions in a planar electrolyte in solid-oxide fuel cells. It was found that analytical solutions arising from the coupled theory reduced to known results when the coefficient of compositional expansion was set equal to zero; that is, when there was no coupling between the electrochemical and mechanical fields. In the case of a non-zero coefficient of compositional expansion, extensive numerical results showed that there was a significant interaction between mechanical stresses and the defect distribution.

An Electrochemomechanical Theory of Defects in Ionic Solids - II. Examples. N.Swaminathan, J.Qu, Y.Sun: Philosophical Magazine, 2007, 87[11], 1723-42