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Schippers-relaxation-model-preprint.pdf (973.99 kB)

Revisiting Relaxation Model towards Prediction of Longterm Mechanical Behavior of Semicrystalline Fibers?

submitted on 31.12.2020, 13:47 and posted on 05.01.2021, 05:14 by Christina Schippers, Thomas Bahners, Larisa Tsarkova, Jochen S. Gutmann, Ernst Cleve

Tensile testing is a well-established method to assess the maximum strength of a material, while relaxation tests are used to evaluate the viscoelastic behaviour of a polymer. Because of slow viscoelastic changes, significant measurement times are required for reliable descriptions. Therefore the relaxation tests are usually combined with lifetime prediction models to reduce the experimental load. Various traditional models use the time-temperature superposition principle while modificated relaxation models are e.g. based on the time-strain superposition principle (TSSP). Both variations require several measurement series to set up a relaxation master curve (RMC). The basic assumption is that a higher strain corresponds to a higher temperature and a longer load duration, respectively. The paper describes a new model approach which allows to predict the longterm behaviour by using a reduced number of measurements as compared to widely models. The new model is based on the well-known Maxwell model and assumes a mean relaxation time in combination with a relaxation coecient. These parameters account for the inhomogeneity of the individual polymer chains. A dimensionless number, similar to the relaxation coecient, has been successfully introduced for the Weibull distribution and the particle size distribution. The new model allows to derive master curve from one measurement series at a single strain by fitting the data to the model equation.


Research project (IGF-Nr. 19812 BG) of the „Forschungskuratorium Textil e.V. (FKT)“ was funded by the „Arbeitsgemeinschaft industrieller Forschungsvereinigungen e.V. (AiF)“ within the program „Industrielle Gemeinschaftsforschung und -entwicklung (IGF)“ by the Federal Ministry for Economic Affairs and Energy on the basis of a decision by the German Bundestag.


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aGerman Textile Research Center (DTNW)



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no conflict of interests

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Submitted manuscript