期刊
RHEOLOGICA ACTA
卷 55, 期 5, 页码 351-364出版社
SPRINGER
DOI: 10.1007/s00397-016-0925-8
关键词
Time-temperature shifting; Master curve; Dynamic material functions; CFS algorithm
类别
资金
- Ministry of Education and Science of the Russian Federation [14.574.21.0114, RFMEFI57414X0114]
- Slovenian Research Agency
The closed-form shifting (CFS) algorithm is a simple mathematical methodology which determines the unique solution in the process of constructing master curves at selected reference temperature and pressure conditions. In a previous paper, the CFS algorithm has been fully described for monotonically increasing or monotonically decreasing functions only. This paper presents detailed steps of the generalized CFS methodology for non-monotonic functions, like the loss tangent. Performing shifting on the loss tangent, which does not require vertical shifting, is particularly important for materials which require vertical adjustment of dynamic viscoelastic functions, i.e., loss and storage moduli. Thus, based on horizontal shifting of the loss tangent, the CFS-based procedure of consecutive horizontal-vertical superposition for the storage modulus is proposed and analyzed. The analysis is done on the example of two synthetically generated non-monotonic tan delta segments and corresponding storage modulus segments in respect to different experimental parameters. It has been shown that the error brought by the shifting method into non-monotonic loss tangent and storage modulus master curves is twice smaller than the corresponding experimental noise level.
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