“…Starting from the first evidence of the two-way SME reported for a cross-linked poly(cyclo octene) by Chung et al in 2008, for a poly(ε-caprolactone) (PCL)-based shape memory polyurethane by Hong et al in 2010, and in the same year, for a multiphase polymeric network containing polypentadecalactone and PCL by Zotzmann et al, several interesting works were carried out to elucidate the physics behind, derive structure–property correlations, and optimize the effect. In fact, various thermodynamic and/or thermomechanical descriptions and modeling of the effect were developed ,, together with the synthesis of novel materials for tuning such an effect. − Furthermore, the influence of material architecture on this effect was studied, for example, using various macromolecular architectures (e.g., linear, three-arm, and four-arm branched macromonomers) or by varying the cross-link density while keeping the degree of crystallinity almost constant and by cross-linking melt-blended systems. , …”