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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License
Article
Author(s)
Linan Qiao, Sven Nagelschmidt and Uwe Herbrich
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DOI:10.17265/1934-7359/2017.09.004
Affiliation(s)
Bundesanstalt für Materialforschung und -prüfung (BAM), 12200 Berlin, Germany
ABSTRACT
For the application of the
time-temperature superposition principle a suitable relation is needed to
describe the time-temperature shift factor a. Therefore, the Arrhenius equation is widely used due
to its simple form and often leads to suitable results. Where, the Arrhenius equation
presents a linear relation for the temperature-dependent shift factor in
logarithmic scale ln(a) with the absolute inverse temperature (1/ϑ). However, in cases
with a large temperature range which eventually include more complex reaction
processes, the functional relation between ln(a) and (1/ϑ) is nonlinear in the ‘Arrhenius
plot’. In those cases, the monotone change of the nonlinear range in the ‘Arrhenius plot’ can be interpreted
as a transient range between two approximately linear or constant regions. An
extended application of the modified Arrhenius equation from Nakamura (1989) is
presented in this study for this transient range. The introduced method was
applied to describe the time-temperature equivalence in the relaxation analysis
of restoring seal force of metal seals, which are used in lid-systems of
transport and interim storage casks for radioactive materials. But, the method
is widely valid and can be used for different objectives which are characterized
by thermorheologically simple behavior with nonlinear sensitivity to inverse
temperature.
KEYWORDS
TTS principle, Arrhenius equation, non-linear Arrhenius behavior, relaxation analysis, seal force, metal seals.
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