Abstract: Theoretical analysis and numerical approach were given for the longitudinal superelastic hysteretic properties of composite with SMA fibers in this paper. A concentric three-phase cylinder model and multicell micromechanics mothod were used to predict equivalent properties of SM composite and longitudinal response of SMA fiber composite. An average parabolic interpolation approach was utilized for the numerical integration related to equations (10) and (11). The numerical results for an Ni-44.8wt% Ti/epo...