Abstract
An appraoch is developed for the stability analysis of the equilibrium of heterogeneous thermodynamic systems with phase transformation surfaces of the first kind, based on investigations of the non-negative-definiteness of the second energy variation. A derivation is given of explicit secondvariation formulas of the corresponding functionals for cases of systems with solid single-component phases under coherent transformations (of martensitic type) and transitions with slip. The general procedure is illustrated by the example of a stability investigation for transitions with slip in the approximation of an asymptotic of low “intrinsic” strain in an isothermal system with isotropic elastic phases.
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