Numerical simulation of extrudate swell problem and evaluation of applicability of viscoelastic constitutive models 1. A study on axisymmetric extrudate swell from a straight die

Toshihisa Kajiwara, Hideki Tomiyama, Yumi Sueyoshi, Masato Yamamura, Kitaro Adachi

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Numerical simulations of axisymmetric extrudate swell for a low density polyethyrene (LDPE IUPAC-A) melt were carried out using the K-BKZ model as an integral type and the PTT and Larson models as a differential type. We employed both the reversible and irreversible models for the K-BKZ and Larson models to investigate the effect of reversing deformation on the extrudate swell from a straight die. First, relaxation spectrum and nonlinear parameters in the constitutive equation were determined from dynamic data of linear viscoelasticity and steady shear flow data by using the nonlinear regression, and then they were applied to the simulation of extrudate swell problem. We evaluated the applicability of these models by comparing experiments and simulation for both rheological data and extrudate swell ratio. For the K-BKZ model, the reversible model over-estimates the swell ratio in high shear rate, whereas the irreversible model predicts the experimental data with high accuracy. The irreversible Larson model also shows the good prediction of swell, on the other hand, the reversible one over-estimates the swell and there exists the multiple solutions. For the PTT model, we carried out the simulation using the models with different values of nonlinear parameter, ε, which has the same steady shear flow properties and the different properties of stress relaxation under reversing double step deformation. The model having the larger stress in the stress relaxation under reversing double step deformation shows the larger swell. From these results, we find that the consideration of reversing deformation characteristics is required for the extrudate swell from the straight die.

Original languageEnglish
Pages (from-to)47-52
Number of pages6
JournalNihon Reoroji Gakkaishi
Volume29
Issue number1
DOIs
Publication statusPublished - Dec 1 2001
Externally publishedYes

Fingerprint

Constitutive models
evaluation
Computer simulation
reversing
simulation
stress relaxation
Stress relaxation
Shear flow
shear flow
viscoelasticity
Viscoelasticity
constitutive equations
Low density polyethylenes
Polyethylene
estimates
Constitutive equations
Shear deformation
regression analysis
shear

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Numerical simulation of extrudate swell problem and evaluation of applicability of viscoelastic constitutive models 1. A study on axisymmetric extrudate swell from a straight die. / Kajiwara, Toshihisa; Tomiyama, Hideki; Sueyoshi, Yumi; Yamamura, Masato; Adachi, Kitaro.

In: Nihon Reoroji Gakkaishi, Vol. 29, No. 1, 01.12.2001, p. 47-52.

Research output: Contribution to journalArticle

@article{b1de5331d1364906b98d4187c4e45e3f,
title = "Numerical simulation of extrudate swell problem and evaluation of applicability of viscoelastic constitutive models 1. A study on axisymmetric extrudate swell from a straight die",
abstract = "Numerical simulations of axisymmetric extrudate swell for a low density polyethyrene (LDPE IUPAC-A) melt were carried out using the K-BKZ model as an integral type and the PTT and Larson models as a differential type. We employed both the reversible and irreversible models for the K-BKZ and Larson models to investigate the effect of reversing deformation on the extrudate swell from a straight die. First, relaxation spectrum and nonlinear parameters in the constitutive equation were determined from dynamic data of linear viscoelasticity and steady shear flow data by using the nonlinear regression, and then they were applied to the simulation of extrudate swell problem. We evaluated the applicability of these models by comparing experiments and simulation for both rheological data and extrudate swell ratio. For the K-BKZ model, the reversible model over-estimates the swell ratio in high shear rate, whereas the irreversible model predicts the experimental data with high accuracy. The irreversible Larson model also shows the good prediction of swell, on the other hand, the reversible one over-estimates the swell and there exists the multiple solutions. For the PTT model, we carried out the simulation using the models with different values of nonlinear parameter, ε, which has the same steady shear flow properties and the different properties of stress relaxation under reversing double step deformation. The model having the larger stress in the stress relaxation under reversing double step deformation shows the larger swell. From these results, we find that the consideration of reversing deformation characteristics is required for the extrudate swell from the straight die.",
author = "Toshihisa Kajiwara and Hideki Tomiyama and Yumi Sueyoshi and Masato Yamamura and Kitaro Adachi",
year = "2001",
month = "12",
day = "1",
doi = "10.1678/rheology.29.47",
language = "English",
volume = "29",
pages = "47--52",
journal = "Nihon Reoroji Gakkaishi",
issn = "0387-1533",
publisher = "Society of Rheology",
number = "1",

}

TY - JOUR

T1 - Numerical simulation of extrudate swell problem and evaluation of applicability of viscoelastic constitutive models 1. A study on axisymmetric extrudate swell from a straight die

AU - Kajiwara, Toshihisa

AU - Tomiyama, Hideki

AU - Sueyoshi, Yumi

AU - Yamamura, Masato

AU - Adachi, Kitaro

PY - 2001/12/1

Y1 - 2001/12/1

N2 - Numerical simulations of axisymmetric extrudate swell for a low density polyethyrene (LDPE IUPAC-A) melt were carried out using the K-BKZ model as an integral type and the PTT and Larson models as a differential type. We employed both the reversible and irreversible models for the K-BKZ and Larson models to investigate the effect of reversing deformation on the extrudate swell from a straight die. First, relaxation spectrum and nonlinear parameters in the constitutive equation were determined from dynamic data of linear viscoelasticity and steady shear flow data by using the nonlinear regression, and then they were applied to the simulation of extrudate swell problem. We evaluated the applicability of these models by comparing experiments and simulation for both rheological data and extrudate swell ratio. For the K-BKZ model, the reversible model over-estimates the swell ratio in high shear rate, whereas the irreversible model predicts the experimental data with high accuracy. The irreversible Larson model also shows the good prediction of swell, on the other hand, the reversible one over-estimates the swell and there exists the multiple solutions. For the PTT model, we carried out the simulation using the models with different values of nonlinear parameter, ε, which has the same steady shear flow properties and the different properties of stress relaxation under reversing double step deformation. The model having the larger stress in the stress relaxation under reversing double step deformation shows the larger swell. From these results, we find that the consideration of reversing deformation characteristics is required for the extrudate swell from the straight die.

AB - Numerical simulations of axisymmetric extrudate swell for a low density polyethyrene (LDPE IUPAC-A) melt were carried out using the K-BKZ model as an integral type and the PTT and Larson models as a differential type. We employed both the reversible and irreversible models for the K-BKZ and Larson models to investigate the effect of reversing deformation on the extrudate swell from a straight die. First, relaxation spectrum and nonlinear parameters in the constitutive equation were determined from dynamic data of linear viscoelasticity and steady shear flow data by using the nonlinear regression, and then they were applied to the simulation of extrudate swell problem. We evaluated the applicability of these models by comparing experiments and simulation for both rheological data and extrudate swell ratio. For the K-BKZ model, the reversible model over-estimates the swell ratio in high shear rate, whereas the irreversible model predicts the experimental data with high accuracy. The irreversible Larson model also shows the good prediction of swell, on the other hand, the reversible one over-estimates the swell and there exists the multiple solutions. For the PTT model, we carried out the simulation using the models with different values of nonlinear parameter, ε, which has the same steady shear flow properties and the different properties of stress relaxation under reversing double step deformation. The model having the larger stress in the stress relaxation under reversing double step deformation shows the larger swell. From these results, we find that the consideration of reversing deformation characteristics is required for the extrudate swell from the straight die.

UR - http://www.scopus.com/inward/record.url?scp=0039842189&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0039842189&partnerID=8YFLogxK

U2 - 10.1678/rheology.29.47

DO - 10.1678/rheology.29.47

M3 - Article

AN - SCOPUS:0039842189

VL - 29

SP - 47

EP - 52

JO - Nihon Reoroji Gakkaishi

JF - Nihon Reoroji Gakkaishi

SN - 0387-1533

IS - 1

ER -