Quasicontinuum Models of Dynamic Phase Transitions

Truskinovsky, Lev; Vainchtein, Anna
August 2006
Continuum Mechanics & Thermodynamics;Aug2006, Vol. 18 Issue 1/2, p1
Academic Journal
We propose a series of quasicontinuum approximations for the simplest lattice model of a fully dynamic martensitic phase transition in one dimension. The approximations are dispersive and include various non-classical corrections to both kinetic and potential energies. We show that the well-posed quasicontinuum theory can be constructed in such a way that the associated closed-form kinetic relation is in an excellent agreement with the predictions of the discrete theory.


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