This paper presents the analysis of time-dependent behavior of polymeric material under cyclic loading, modeled with the tooth-like loading conditions in terms of the shear stress that are determined by the operating frequency and the ratio between unloading and loading phase within one loading cycle. Assuming viscoelastic behavior of the material, the intensity of strain accumulation process is analyzed regarding the effects of the operating frequency, and number of loading cycles for series of time-dependent material properties expressed with discrete retardation spectrum. Results show that by knowing spectrum distribution of the time-dependent material property we may predict the critical operating frequencies that may lead to the highest level of accumulated strain.