Stability of interphase boundaries in solid elastic media (Q1117734)

An approach 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 second- variation formulas of the corresonding 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.