Boundary value problems of mechanics for shape memory alloys

The variants of constitutive equation systems for shape memory alloys (SMAs) are considered. Different statements of boundary value problems of deformable solids mechanics for these materials (non-coupled, coupled, and twice-coupled problems; stability problems caused by phase and structural transitions; limit load problems in the framework of solid-phase structural analysis) are discussed. Some results of the analytical and numerical solutions of bending and twisting problems, analogs of the Lame problems for phase and structural transitions in a SMA tube, as well as stability problem for rods, plates, and shells made of SMAs are presented.