Effect of structural transformation and deformation nonlinearity on the stability of a shape memory alloy rod

Within the framework of a model of nonlinear deformations of shape memory alloys (SMA) under phase and structural transformations and for different statements of the problem, an analytical solution of the problem of stability of an SMA rod undergoing a direct martensitic phase transformation under the action of a compressive load is obtained. It is shown that taking account of the nonlinearity of the deformation process and structural transformation in the transition into the adjacent form of equilibrium significantly changes the solution for sufficiently flexible rods. At the same time, taking into account the strains developed in a phase transition is topical for thick-walled SMA elements.