Boundary conditions for phase transitions and interfacial reactions

Abstract

Si et al. [1] 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] 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]. 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].

Keywords:

• compatibility constraint
• continuity of displacement
• oxidation

Acknowledgments

This research was support by the Air Force Office of Scientific Research under grant #FA9550-06-1-0242. The authors are grateful for the many conversations that they have had with D. C. Lagoudas and J. R. Walton and T. Sendova.

Notes

Notes

1. It is important to note that we have included work done by surface stresses at the fracture edge that was inadvertently left out by Slattery et al. [10, p. 288].