Abstract
A theoretical model for damage evolution and fatigue life prediction of Shape Memory Alloy (SMA) under low cycle fatigue is proposed in this work. Based on the theory of continuous damage mechanics and the obtained constitutive model of the SMAs, a fatigue cumulative damage model for SMAs is established, in which the threshold of damage initiation is defined, and the damage degree of SMA under different cycles is given. By using such model, the stress-strain relationship for the SMAs considering the damage under different cycles is given, and the different failure life of SMAs under different stress amplitudes is finally predicted. The results show that after the damage occurs, the hysteretic curves of the material become smaller, and the fatigue life decreases with the increasing of stress amplitudes.
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