P. Cermelli et Me. Gurtin, THE DYNAMICS OF SOLID-SOLID PHASE-TRANSITIONS .2. INCOHERENT INTERFACES, Archive for Rational Mechanics and Analysis, 127(1), 1994, pp. 41-99
Incoherent phase transitions are more difficult to treat than their co
herent counterparts. The interface, which appears as a single surface
in the deformed configuration, is represented in its undeformed state
by a separate surface in each phase. This leads to a rich but detailed
kinematics, one in which defects such as vacancies and dislocations a
re generated by the moving interface. In this paper we develop a compl
ete theory of incoherent phase transitions in the presence of deformat
ion and mass transport, with phase interface structured by energy and
stress. The final results are a complete set of interface conditions f
or an evolving incoherent interface.