Abstract. Thermally induced shape-memory effect (SME) in tensile mode was investigated in binary and ternary blends of two ethylene-1-octene copolymers with a degree of branching of 30 and 60 CH3/1000C and/or nearly linear polyethylene cross-linked after melt mixing with 2 wt% of liquid peroxide 2,5-dimethyl-2,5-di-(tert.butylperoxy)-hexane at 190°C. The average cross-link density estimated by means of the Mooney-Rivlin equation on the basis of tensile test data was characterized between 130 and 170 mol·m -3 depending on the blend composition. Thermal analysis points out multiple crystallization and melting behavior of blends caused by the existence of several polyethylene crystal populations with different perfection, size and correspondingly different melting temperature of crystallites. That agrees well with the diversity of blends phase morphology characterized by atomic force microscopy. However, triple-and quadruple-SME could be observed only after two-and accordingly three-step programming of binary and tertiary blends, respectively, at suitable temperatures and strains. Compared to performances obtained for the same blend after single-step programming above the maximal melting temperature the significantly poorer characteristics of SME like strain fixity and strain recovery ratio as well as recovery strain rate occurred after multi-step programming. Vol.2, No.7 (2008) [461][462][463][464][465][466][467][468][469][470][471][472][473] Available online at www.expresspolymlett.com DOI: 10.3144/expresspolymlett.2008.56 Strain fixity (R f ) and strain recovery ratios (R r ) are defined according to [4] by Equations (1): (1) where ε p is the strain caused by programming, ε v is the strain that remains after programming, cooling and unloading of specimen and ε rec,m is the residual strain that resides after thermal induced recovery (shrinkage) at maximum temperature of experiment. The investigation of the SM effect of covalent cross-linked semicrystalline polymers and in particular of peroxidic cross-linked ethylene copolymers [7][8][9][10] showed a strong correlation between the melting temperature T m ≡ T trans of the crystalline phase and the response temperature T res , namely T res ≈ T m . Thus, it may be assumed that the existence of several 'n' crystalline phases or/and crystal populations with different perfection, size and correspondingly with distinctly different melting temperatures T m.i in one polymeric material results presumably in a multiple SM behavior, i.e. in the appearance of the same or lower number of recovery strain ε rec (T) steps and accordingly dε rec (T)/dt maxima with response temperatures T res.i ≈ T m.i where 1 ≤ i ≤ n (i is an even number). The triple-shape memory behavior for two different complex polymer network systems which were prepared by photoinduced copolymerization of a methacrylate-monomer and poly(ε-caprolactone) dimethacrylate was already recently described by Bellin et al. [11]. These polymer network systems are formed from two types of chain sections/ domains of ...