Evolving Phase Boundaries in Deformable Continua,
CARNEGIE-MELLON UNIV PITTSBURGH PA DEPT OF MATHEMATICS
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Recently, Gurtin and Struthers 2 developed a dynamical theory of phase transitions in crystal-crystal systems in which the interface is sharp, coherent, and endowed with energy, entropy, and superficial force. A fundamental conceptual ingredient of the theory is the use of three force systems deformational forces that act in response to the motion of material points accretive forces that act within the crystal lattice to drive the crystallization process attachment forces associated with the attachment and release of atoms as they are exchanged between phases. Here I will discuss the main results of the theory, which are constitutive equations and balance laws for the interface.