Boundary conditions for phase transitions and interfacial reactions

Abstract

Si et al. 1 Si, X., Oh, E.S. and Slattery, J.C. 2010. Phil. Mag., 90: 655Taylor & Francis Online] , Google Scholar]] pointed out that it was inappropriate to use continuity of displacement at interfaces during phase transitions or in the case of reactions at interfaces as in the case of oxidation, since appropriate reference configurations cannot be identified. They instead derived a new compatibility constraint, when atleast one of the adjoining phases is crystalline. The test of these ideas offered by Slattery et al. 2 Slattery, J.C., Si, X., Fu, K.B. and Oh, E.S. 2010. Phil. Mag., 90: 665Taylor & Francis Online] , Google Scholar]] was successful, but it likely was too simple, since the deformations were so small. A more stringent and successful test has recently been offered by 3 Slattery, J.C., Fu, K-B and Philos, E-SOh. 2012. Mag., 92: 1788 Google Scholar]]. Here, we analyze oxidation on the surface of a cylinder both using an extension of the compatibility constraint and using continuity of displacement, comparing the results with the experimental observations of Imbrie and Lagoudas 4 Imbrie, P.K. and Lagoudas, D.C. 2001. Oxid. Met., 55: 359Crossref], Web of Science ®] , Google Scholar]].