Summary
Polymeric liquids are considered to be simple fluids displaying two properties: i) they obey the time-temperature superposition (TTS) principle, and ii) are endowed with entropic elasticity. An analysis is performed of existing theories which consider the above properties separately. Non-trivial compatibility conditions are found, which require appreciable modifications of the formulation byCrochet andNaghdi of the TTS principle. The thermodynamic equations of state of fluids which obey the TTS principle and have a configurational entropy are then formulated and discussed.
Zusammenfassung
Polymerflüssigkeiten werden als einfache Flüssigkeiten betrachtet, welche die beiden folgenden Eigenschaften besitzen: 1. Sie unterliegen dem Zeit-Temperatur-Superpositions (TTS)-Prinzip; 2. sie sind mit Entropie-Elastizität ausgestattet. Es wird eine Analyse der bisher existierenden Theorien durchgeführt, welche diese Eigenschaften jeweils für sich betrachten. Dabei werden nicht-triviale Kompatibilitäts-Bedingungen gefunden, die wesentliche Abänderungen der Formulierung des TTS-Prinzips vonCrochet undNaghdi beinhalten. Die thermodynamischen Zustandsgleichungen von Flüssigkeiten, die sowohl dem TTS-Prinzip gehorchen als auch eine Konfigurations-Entropie besitzen, werden anschließend formuliert und diskutiert.
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Sarti, G.C. Thermodynamics of polymeric liquids: Simple fluids with entropic elasticity obeying the time-temperature superposition principle. Rheol Acta 16, 516–522 (1977). https://doi.org/10.1007/BF01525650
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DOI: https://doi.org/10.1007/BF01525650