Journal
JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY
Volume 113, Issue 2, Pages 453-460Publisher
SPRINGER
DOI: 10.1007/s10973-013-3193-1
Keywords
Time-temperature superposition; Shift factor; WLF equation; Arrhenius relation; Numerical derivation; DMA
Funding
- Spanish Ministry of Science and Innovation [MTM2011-22392]
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Prediction of polymer properties at short and long observation times is usually performed through time-temperature superposition (TTS) models, which make use of some calculated shift factors. Although TTS principle has been used for many decades, no firm rules have been developed for obtaining the master curves. In the absence of reliable long-term data, it has been a common practice to try to minimize the discrepancy between the individual shifted curves. It was reported that a TTS method is more reliable as that discrepancy is minimized. In this study, a new method for obtaining the shift factors is presented. The optimal shift factors were estimated by minimizing the distance between the single curve derivatives with respect to the derivative of the curve at the reference temperature. That shift factors were tested with some classical models. The data were analyzed by statistical methods, making use of bootstrap resampling and spline estimation. The shift factors obtained from the proposed method allow for obtaining smooth master curves. The accuracy of the estimations was evaluated.
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