Nonuniqueness and stability in problems of equilibrium of elastic two-phase bodies

Abstract

Interfaces in martensitic transformations can be treated as strain-discontinuity surfaces, where, in addition to the ordinary kinematic and force conditions, an additional thermodynamic condition must be satisfied [1-4]. This condition restricts the geometry of the interfaces [5-8]. Being a problem with an unknown boundary, the problem of determination of equilibrium two-phase configurations has as a rule several solutions; ie, different equilibrium two-phase structures can correspond to the same boundary conditions. In this case, locally stable.