Studies on the mechanical properties of polymers such as yield behavior have been the keys to successful use of polymers in various mechanically functional purposes. The yield behavior of polymers has been investigated by using polymers with varying structure (copolymer structure and composition, 1,2 amorphous or crystalline, 3,4 differential orientation and crystallinity, 5,6 presence of functional linkage, 7 etc.). Strain rate and temperature have been the experimental parameters in those studies, as polymeric molecules display temperature and rate dependent phenomena. On the nature of the yield behavior of polymers, there have been reported a variety of phenomenological descriptions and molecular interpretations. One is to correlate the yield behavior with secondary mechanical relaxation behavior. 2,[6][7][8] It is based on the general understanding that such relaxations mediate macroscopic mechanical properties. We previously observed for oriented, semicrystalline poly(ethylene terephthalate) (PET) that tan maxima of both primary and secondary relaxations are linear increasing functions of the activation volume calculated by the Eyring's yield model. 6 All the above researches have focused mainly on the yield stress with no particular interest on the yield strain. In practical cases in mechanical applications, however, an elongational limit before the onset of a plastic deformation is also critical. To our knowledge, only one article can be found in the literature focusing on the yield strain, 9 in which it was reported that there is a transition in the yield strain for polyethylene at a temperature where a change in deformation mode occurs from elastic-plastic to viscoelastic manner. In this study, we report the yield strain variation in PET as a function of stain rate, temperature, and PET structure to reveal the similarity and difference with the yield stress behavior. In addition, a novel dimensional analysis correlating the yield strain with the activation volume of the yield was proposed.
EXPERIMENTALPET samples with varying orientation and crystallinity were produced by the high speed melt spinning of high molecular weight PET (intrinsic viscosity of 0.98 dL/g). PET was extruded at a constant mass flow rate and spun at a take-up velocity range of 2.5-5.5 km/min to have different degree of melt draw ratio. Details of the melt spinning process and characterization methods are reported elsewhere, 10 and the properties of PET samples are listed in Table I. Tensile tests were performed using an Instron 4303 equipped with a temperature-controlling chamber. Measurements were done at various temperatures, e.g., 20, 50, and 75 C. Filament sample was clamped under a pretension of 0.01 g/den and placed inside the chamber preset to a desired temperature. The tensile test started after the thermal force generated in the sample became equilibrium (after 300 s).11 To impose strain rate variation, the crosshead speed varied at 0.3-300 mm/min at a constant gauge length of 50 mm corresponding to seven nominal strain ra...