Review on tube model based constitutive equations for polydisperse linear and long-chain branched polymer melts

Esmaeil Narimissa*, Manfred H. Wagner

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

20 Scopus citations

Abstract

Rheological equations of state are of great importance for characterization of polymer melts and for simulation of polymer processing. This concise review considers tube model based constitutive equations developed in the last 40 years since the original publication of Doi and Edwards in 1978. The emphasis is on the concepts, assumptions, and material parameters introduced to model nonlinear viscoelasticity of polydisperse linear and long-chain branched polymer melts. Linear viscoelasticity is assumed to be known, either from linear-viscoelastic modeling or by experimental characterization. The scope is limited to constitutive equations which are based on the linear-viscoelastic relaxation modulus and can be expressed in terms of integral, differential, or integro-differential equations. Multimode models based on the concept of preaveraged stretch require a large number of nonlinear model parameters. Relaxing the assumption of a constant tube diameter, the number of nonlinear model parameters can be drastically reduced to 2 or 3, independent of the number of Maxwell modes needed to represent the linear viscoelasticity.

Original languageEnglish
Pages (from-to)361-375
Number of pages15
JournalJournal of Rheology
Volume63
Issue number2
DOIs
StatePublished - 1 Mar 2019

Fingerprint

Dive into the research topics of 'Review on tube model based constitutive equations for polydisperse linear and long-chain branched polymer melts'. Together they form a unique fingerprint.

Cite this