On KBKZ and other viscoelastic models as continuum generalization of the classical SpringDashpot models
Abstract
An alternate constitutive formulation for viscoelastic materials, with particular emphasis on macromolecular viscoelastic fluids, is presented by generalizing Maxwell's idealized separation of elastic and relaxation mechanisms. The notion of relative rate of change of elastic stress is identified, abstracted, and formulated with the help of the established theory of finitely elastic isotropic materials. This gives a local rate type constitutive relation for an elastic mechanism in a simple material. For the simplest class of viscoelastic polymer melts, the notion of rate of change of elastic stress and its damped accumulation is identified and formulated. Under conditions of moderate strain rates, this scheme implies the reliable KBKZ model for a class of polymer melts. An obvious extension generalizes the remaining classical springdashpot models.
 Publication:

Technical Summary Report Wisconsin Univ
 Pub Date:
 December 1985
 Bibcode:
 1985wisc.reptR....N
 Keywords:

 Continuum Modeling;
 Elastic Properties;
 Isotropism;
 Molecules;
 Strain Rate;
 Viscoelastic Damping;
 Accumulations;
 Models;
 Rates (Per Time);
 Fluid Mechanics and Heat Transfer