Surface tension and energy in multivariant martensitic transformations: phase-field theory, simulations, and model of coherent interface.

Phase-field approach to surface-induced phase transformations and dislocations

The Ginzburg-Landau theory for multivariant martensitic phase transformations is advanced in three directions: the potential is developed that introduces the surface tension at interfaces; a mixed term in gradient energy is introduced to control the martensite-martensite interface energy independent of that for austenite-martensite; and a noncontradictory expression for variable surface energy ...

Interface- and surface-induced phenomena during phase transformations: phase field approach

Thermodynamically consistent phase fi eld theory for various phase transformations (including multivariant martensitic transformations, melting, and twinning), which includes interface stresses, is developed [1–5]. Free energy includes several local polynomials in terms of the order parameters describing phase transformations and depends on their gradient in the current confi guration. Theory i...

Thermodynamically consistent phase field approach to phase transformations with interface stresses

Thermodynamically consistent phase field theory for multivariant martensitic transformations is developed with the main focus on introducing correct interface stresses (tension). The nontrivial point is that the interface tension (physical phenomenon) is introduced with the help of some geometric nonlinearities, even when strains are infinitesimal. Total stress at the diffuse interface consists...

Phase field approach to martensitic phase transformations with large strains and interface stresses

Thermodynamically consistent phase field theory for multivariant martensitic transformations, which includes large strains and interface stresses, is developed. Theory is formulated in a way that some geometrically nonlinear terms do not disappear in the geometrically linear limit, which in particular allowed us to introduce the expression for the interface stresses consistent with the sharp in...

Three-dimensional Landau theory for multivariant stress-induced martensitic phase transformations. II. Multivariant phase transformations and stress space analysis