Results reported in [1-3] demonstrate the opportunity to qualitatively describe deformation processes caused by the shape memory effect within the framework of the theoretical approach called Residual Stresses Mechanism (RSM). In particular, RSM makes it possible to explain the effect of reversible shape memory. The methodology for constructing mathematical models in the limits of RSM is considered in section 1 below. Example of the model is used as a base for computer simulations. Results are discussed from the point of view of predicting the behavior of constructions made of SME materials and optimizing their parameters.