On the thermodynamic conditions at moving phase-transition fronts in thermoelastic solids
The main goal of the paper is to establish possible thermodynamic conditions at a phase boundary to describe a propagation of phase-transition fronts in crystalline solids. Classical equilibrium conditions are not valid in the case of fast propagation of sharp phase interfaces through the material during stress-induced martensitic phase transformation. Instead of the introduction of a kinetic relation, a non-equilibrium jump relation is derived at the phase boundary. The equilibrium conditions are extended to non-equilibrium in the framework of thermodynamics of discrete systems. The interaction energy between the discrete elements adjacent to the phase boundary is included. To provide the description of nonequilibrium states, the thermodynamic state space includes so-called contact quantities in addition to usual local equilibrium variables, and additional constitutive relations between the energy of interaction and contact quantities are introduced.
scientific article; zbMATH DE number 2091850