Superelastic shape memory alloys (SMAs) are unique smart materials with a considerable energy dissipation potential for the vibration control of structures. The energy dissipation arises from the hysteretic phase transformation. Random vibration patterns, such as by earthquakes and wind, include not only changing strain rates but also different strain amplitudes. Previous studies revealed that the reverse phase transformation behavior of SMAs depend apart from the strain rate also on the strain amplitude. This study confirms these findings by experiments and proposes a modeling approach for an accurate representation of this effect. Both tensile cyclic and seismic responses of Nitinol wires are studied for this purpose. The modeling approach is validated by the experimental results. Finally, the proposed model is applied numerically to a seismically excited 20-story benchmark building incorporating multiple SMAs. An intermediate time stepping approach is employed, which improves both the computational efficiency and the accuracy of the simulation process.
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