Thin ribbons of Ti50Ni25Cu25 (at %) alloy are produced by melt spinning in the amorphous, amorphous–crystalline, and crystalline states, depending on the melt cooling rate. It is shown that laminated amorphous–crystalline composite displays two-way shape memory behavior in bending with no additional thermomechanical treatment. It is established that a slower cooling rate results in a thicker crystalline layer and greater reversible bending deformation in this structural composite. © 2015, Allerton Press, Inc.