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In this study,a standard linear viscoelastic three-dimensional (3D) constitutive model was developed for shape memory polymers (SMPs) to reproduce their thermo-mechanical behavior.This 3D constitutive model has been implemented into commercial software ABAQUE by adopting user material subroutine (UMAT) for finite element analysis.To validate robustness of the subroutine,numerical simulations of a rectangular bar under axial tension and torsion were conducted.Simulated results of the bar under axial tension were compared with the experimental data reported in the previous literature,and good agreement can be observed between the simulated results and experiments.Simulated results for torsional test,which is rarely analyzed,could play an important role in the characterization of SMP applications.Simulated results of the thermal-mechanical experiments also verify the efficiency of the 3D viscoelastic constitutive model.This proposed 3D viscoelastic model will serve as a modeling tool for the design of more complex SMP-based structures and devices.