On the loss of stability of rods made of a shape memory alloy caused reactive compressive stress in the reverse martensitic phase transformation | Mekhanika | kompozitsionnykh | materialov i konstruktsii
> Volume 10 > №3 / 2004 / Pages: 393-406

On the loss of stability of rods made of a shape memory alloy caused reactive compressive stress in the reverse martensitic phase transformation

Abstract:

Analysis of the stability of structural elements of shape memory alloys (SMA) is devoted to a limited number of studies [1-4]. In experimental studies [5] found that thermoelastic martensitic phase transformations may cause a loss of stability, not only for direct but also for reverse transitions, during which the elastic moduli increase. Therefore, the root cause of the loss of stability in the martensitic transformations themselves are phase transitions, not the change in the elastic constants of the material, which in the case of direct conversion is only exacerbated in the case of reverse – strike but does not preclude the onset of instability factor. In [1] studied the stability of the rod at thermoelastic phase transitions at constant voltages being in nestesnёnnyh conditions. It is clear that in the cramped conditions of the tendency to buckling in the reverse transition pre-compressed thin-walled elements of the SPF is only strengthened. The possibility of loss of stability in the reverse transformation due to reactive voltage specified in [2]. In this paper, an analytical solution of the problem of stability of the rod SPF undergoing the reverse martensitic transformation under the influence of reactive compressive stresses developing in the rod due displeased him deformation boundary conditions. Use option of defining relations resulting from the thermodynamic analysis [6] and is consistent with the experimental data [7,8]. Various hypotheses that could be the basis for solving this problem. It was found that the most prone to instability have decisions on the basis of hypotheses, “continued the phase transition” and “continued loading.”

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