Journal Article10.1007/S00397-008-0303-2
A new method for the calculation of continuous relaxation spectra from dynamic-mechanical data
122
TL;DR: In this article, a method for the determination of highly precise continuous relaxation spectra is presented, based on the use of piecewise cubic Hermite splines, which are fairly easy to tabulate by using their knots.
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Abstract: We present a new method for the determination of highly precise continuous relaxation spectra. The method is based on the use of piecewise cubic Hermite splines, which are fairly easy to tabulate by using their knots. The Hermite splines method allows a continuous description of the spectrum by a series of polynomial functions. The numerical instabilities of the spectrum calculation are minimized by limiting the slope of the spectrum to physically meaningful values. The reproducibility of the spectrum calculation is within an error margin of about ±10% in the physically relevant relaxation time range. This method is able to retrieve the spectrum based on data calculated from a benchmark with high accuracy and precision.
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Determination of discrete relaxation and retardation time spectra from dynamic mechanical data
M. Baumgaertel,H. Henning Winter +1 more
TL;DR: In this article, a nonlinear regression is proposed for the processing and analysis of dynamic mechanical data, where the experimentally determined dynamic moduli,G′(ω) andG″(ω), are converted into a discrete relaxation modulusG(t) and a discrete creep complianceJ(t).
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A nonlinear regularization method for the calculation of relaxation spectra
Josef Honerkamp,Juergen Weese +1 more
TL;DR: In this paper, the authors proposed a nonlinear regularization method to calculate the relaxation spectrum in the terminal and plateau region of a polyamide polymer solution, which can be used to obtain a more complete relaxation spectrum.
394