Rate dependent free energy formulations for dynamically excited superelastic SMA wires

Abstract Superelastic shape memory alloys (SMAs) are metallic two‐phase polycrystal alloys. The transformation between austenite and martensite phases allows superelastic SMAs unique hysteretic energy dissipation capacity, which is particularly interesting for the development of new‐type intelligent vibration control systems structures. However, in structural control, most vibrations occur high strain rate regimes, interfere release self‐generated heat cause atomic lattice destabilization thus influence dissipation. present work proposes two different dependent free formulations aims to improve accuracy existing one‐dimensional macroscopic models SMA wires. approaches developed implemented continuum thermomechanical frameworks, without impairing simplicity robustness solution process. first approach introduces an additional variable entropy evolution. second uses a phenomenological formulation latent proposed validated by cyclic tensile tests conducted on results show that calculations using new can represent wire response more accurately.