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Viscoelastic constitutive equations and rheology for high speed polymer processing
Author(s) -
Leonov Arkady I.
Publication year - 1995
Publication title -
polymer international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.592
H-Index - 105
eISSN - 1097-0126
pISSN - 0959-8103
DOI - 10.1002/pi.1995.210360209
Subject(s) - viscoelasticity , rheology , constitutive equation , deborah number , stability (learning theory) , set (abstract data type) , polymer , materials science , computer science , mathematics , polymer science , thermodynamics , physics , composite material , finite element method , machine learning , programming language
Many attempts to formulate viscoelastic constitutive equations (CEs) for polymeric liquids have resulted in a situation where as many as several tens of popular CEs are in competition nowadays. None of these can describe the available data for simple flows, consistently, and almost all of them display nonphysical instabilities in high Deborah number flows. This paper discusses the most important classes of viscoelastic CEs, present recent results on their stability, recommends some principles of choice of CEs for practical use, and highlights a certain class of CEs for the description of the available set of rheological data for the most well characterized polymers, while satisfying all the stability constraints.