Buckling of a rod undergoing direct or reverse martensite transformation under compressive stresses

Analytical solutions of the problem of buckling of a compressed rod made of a shape-memory alloy, which undergoes direct or reverse martensite phase transition under compressive stresses, are obtained with the use of various hypotheses. Specific features of the experimentally observed buckling phenomenon caused by martensite transformations are described. It is found that the hypotheses of continuing phase transition and continuing loading give the minimum critical loads.