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Materiale Plastice (Mater. Plast.), Year 2011, Volume 48, Issue 2,





HORIA PAVEN Explicit Analytical Relations for Stress-controlled Rheodynamical Quantities in the case of Zener-Arrhenius Model I. Underlying relations


Abstract:
Aiming to develop a self-contained presentation regarding the thermorheodynamical behaviour of solid-like polymer materials, the Zener - Arrhenius model is used, the frequency or/and temperature dependences being considered in the case of stress-controlled conditions. Accordingly, the full set of the explicit general analytical relations for the primary characteristic thermorheodynamical quantities - the storage, loss and absolute compliances, as well as the loss factor - and the corresponding secondary ones - the storage, loss and absolute moduli - is obtained by using the appropriate rheological parameters including the low and high frequency limit values of the storage compliance, as well as the retardation time. These underlying analytical relations are provided in forms directly suitable for numerical simulation of frequency dependence in isothermal frequency - dependence, and as well for the temperature - dependence in isochronal circumstances. Keywords: analytical relations, characteristic thermorheodynamical quantities, stress-controlled conditions, Zener - Arrhenius model, isothermal and isochronal circumstances



Issue: 2011 Volume 48, Issue 2
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