The buckling loads for elements made of shape-memory alloys (SMA) at the thermoelastic martensite transitions turn out to be essentially lower than corresponding Euler's loads, even in the least rigid martensite condition. The account of the structural transition in the buckling analysis is an aggravating factor giving rise to greater decrease in the buckling load, especially for relatively thin-walled elements. In a number of earlier works the system of approaches which allows to determine rather easily the entire interval of the buckling loads for the SMA elements is formulated, with the most interesting lower value of this interval defined according to the concept of overall additional phase and (or) structural transitions. A number of features of the buckling of the SMA thin-walled elements at the thermoelastic and structural transitions are considered which were not taken into account earlier. They include the study of the effect of the way the compressing load is applied on buckling characteristics of the SMA elements. In particular, the buckling of a SMA rod at thermoelastic transitions is considered in the case when both external compression load and temperature are varied simultaneously. It is also shown how the choice of model of the SMA cylindrical shell affects its buckling loads.
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