Abstract
The paper contains the construction of phenomenological model of processes, appearing during the stress-induced isothermal martensitic phase transformations in shape memory materials. In contrast to earlier papers on this subject, the Gibbs free energy is assumed to contain the contribution of the energy of pattern formation. This contribution is constructed in such a way that changes of internal variables are identical in yield and recovery (symmetric model), as suggested by experimental results. It is shown that such a Gibbs free energy together with the the principle of least work and an assumption on admissible classes of processes, yields a unique description of internal loops of force-elongation diagrams. It is also demonstrated that the present model reproduces qualitatively all paths appearing in tensile experiments carried on shape memory single crystals in hard loading devices.
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