Review of the hierarchical multi-mode molecular stress function model for broadly distributed linear and LCB polymer melts

2018 ◽  
Vol 59 (3) ◽  
pp. 573-583 ◽  
Author(s):  
Esmaeil Narimissa ◽  
Manfred H. Wagner
Keyword(s):  
Stress Function ◽  
Polymer Melts ◽  
Function Model ◽  
Molecular Stress Function ◽  
Multi Mode

scholarly journals Hierarchical multi-mode molecular stress function (HMMSF) model for linear and LCB polymer melts

2019 ◽  
Author(s):  
Esmaeil Narimissa ◽  
Manfred H. Wagner
Keyword(s):  
Stress Function ◽  
Polymer Melts ◽  
Molecular Stress Function ◽  
Multi Mode

A hierarchical multimode molecular stress function model for linear polymer melts in extensional flows

2016 ◽  
Vol 60 (4) ◽  
pp. 625-636 ◽  
Author(s):  
Esmaeil Narimissa ◽  
Manfred H. Wagner
Keyword(s):  
Stress Function ◽  
Polymer Melts ◽  
Linear Polymer ◽  
Function Model ◽  
Molecular Stress Function ◽  
Extensional Flows

On Hadamard stability and dissipative stability of the molecular stress function model of non-linear viscoelasticity

2009 ◽  
Vol 44 (7) ◽  
pp. 727-734 ◽  
Author(s):  
Evangelos Voyiatzis ◽  
Christos J. Tsenoglou ◽  
Andreas G. Boudouvis
Keyword(s):  
Linear Viscoelasticity ◽  
Stress Function ◽  
Function Model ◽  
Molecular Stress Function ◽  
Non Linear

scholarly journals Modelling of Elongational Flow of HDPE Melts by Hierarchical Multi-Mode Molecular Stress Function Model

Polymers ◽  
2021 ◽  
Vol 13 (19) ◽  
pp. 3217
Author(s):  
Leslie Poh ◽  
Esmaeil Narimissa ◽  
Manfred H. Wagner
Keyword(s):  
Stress Function ◽  
High Density Polyethylene ◽  
High Density ◽  
Molecular Characteristics ◽  
Chain Branching ◽  
Data Set ◽  
Long Chain Branching ◽  
Molecular Stress Function ◽  
Multi Mode ◽  
Long Chain

The transient elongational data set obtained by filament-stretching rheometry of four commercial high-density polyethylene (HDPE) melts with different molecular characteristics was reported by Morelly and Alvarez [Rheologica Acta 59, 797–807 (2020)]. We use the Hierarchical Multi-mode Molecular Stress Function (HMMSF) model of Narimissa and Wagner [Rheol. Acta 54, 779–791 (2015), and J. Rheology 60, 625–636 (2016)] for linear and long-chain branched (LCB) polymer melts to analyze the extensional rheological behavior of the four HDPEs with different polydispersity and long-chain branching content. Model predictions based solely on the linear-viscoelastic spectrum and a single nonlinear parameter, the dilution modulus GD for extensional flows reveals good agreement with elongational stress growth data. The relationship of dilution modulus GD to molecular characteristics (e.g., polydispersity index (PDI), long-chain branching index (LCBI), disengagement time τd) of the high-density polyethylene melts are presented in this paper. A new measure of the maximum strain hardening factor (MSHF) is proposed, which allows separation of the effects of orientation and chain stretching.

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