Solids can abruptly change their structure under intense mechanical and/or thermal loads. This means that a first-order phase transition occurs; i.e., the uniqueness of the constitutive relations (equations of state) disappears, and the transition from one branch of a material reaction to another is realized. Traditional description [1, 2] of the equilibrium of liquid (gaseous) phases separated by an interface leads to the equality of pressures and chemical potentials. Phase transitions in solids present a more complicated phenomenon. The basic result of investigations of this phenomenon [3-8] is the introduction of the chemical potential tensor, as well as allowance for the irreversibility of phase transitions, which is attributed to entropy sources concentrated at the interface. The dependence of these sources on the velocity of the interface and properties of the phases is unclear.
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