On K-BKZ and other viscoelastic models as continuum generalizations of the classical spring-dashpot models

Authors

Amitabh Narain, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

1986

Abstract

An alternate constitutive formulation for visco-elastic materials, with particular emphasis on macromolecular viscoelastic fluids, is presented by generalizing Maxwell's idealized separation of elastic and relaxation mechanisms. The notion ofrelative rate of change of elastic stress is identified, abstracted, and formulated with the help of the established theory of finitely elastic isotropic materials. This given 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 K-BKZ model for a class of polymer melts. An obvious extension generalizes the remaining classical spring-dashpot models.

Publisher's Statement

© 1986 Springer Verlag. Publisher’s version of record: http://dx.doi.org/10.1007/BF01369974

Publication Title

Rheologica Acta

Recommended Citation

Narain, A. (1986). On K-BKZ and other viscoelastic models as continuum generalizations of the classical spring-dashpot models. Rheologica Acta, 25(1), 1-14. http://doi.org/10.1007/BF01369974
Retrieved from: https://digitalcommons.mtu.edu/mechanical-fp/50