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The behavior of shape memory alloy (SMA) nanostructures is influenced bystrain rate and temperature evolution during dynamic loading. The couplingbetween temperature, strain and strain rate effects is essential to captureinherent thermo-mechanical behavior in SMAs. In this paper, we propose a newfully coupled thermo-mechanical 3D phase-field model that accounts for two-waycoupling between mechanical (or structural) and thermal physics. The 3D modelprovides a realistic description of the properties of SMAs nanostructures. Weuse the strain-based Ginzburg-Landau potential for cubic-to-tetragonal phasetransformations. The variational formulation of the developed model isimplemented in the isogeometric analysis framework to overcome numericalchallenges. We have observed a complete disappearance of the out-of-planemartensitic variant in a very high aspect ratio SMA domain as well as thepresence of three variants in equal portions in a low aspect ratio SMA domain.The sensitive dependence of different boundary conditions on the microstructuremorphology has been examined energetically. The tensile tests on a rectangularprism nanowires, using the displacement based loading, demonstrate the shapememory effect and pseudoelastic behavior. We have also observed that higherstrain rates, as well as the lower aspect ratio domains, resulting in highyield stress and phase transformations occur at higher stress during dynamicaxial loading. The simulation results using the developed model are inqualitative agreement with the numerical and experimental results from theliterature.

Effect of Aspect Ratio and Boundary Conditions in Modeling Shape Memory Alloy Nanostructures with 3D Coupled Dynamic Phase-Field Models