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On the congruence of some network and pom-pom models  

Tanner, Roger I. (School of Aerospace, Mechanical and Mechatronic Engineering, University of Sydney)
Publication Information
Korea-Australia Rheology Journal / v.18, no.1, 2006 , pp. 9-14 More about this Journal
Abstract
We show that some network and pom-pom constitutive models are essentially the same. Instead of the usual confrontation, we suggest that the two approaches can offer useful mutual support: vital information about network destruction rates found from detailed pom-pom calculations can be used to improve the network models, while deductions about network creation rates can pinpoint areas needing further attention in the tube modelling area. A new form of the PTT model, the PTT-X model, results in improved shear and elongational flow descriptions, plus an improved recoil behaviour. The remaining problems of strain-time separation, second normal stress difference description, and reduction of parameters are also discussed and some suggestions for progress are offered.
Keywords
constitutive equations; viscoelasticity; polyethylene; tube theories; networks; pom-pom;
Citations & Related Records

Times Cited By Web Of Science : 10  (Related Records In Web of Science)
Times Cited By SCOPUS : 10
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1 Clemeur, N, R.P.G. Rutgers and B. Debbaut, 2003, On the evaluation of some differential formulations for the pom-pom constitutive model, Rheol. Acta 42, 217-231
2 Tanner, R.I. and S. Nasseri, 2003, Simple constitutive models for linear and branched polymers, J. Non-Newtonian Fluid Mech. 116, 1-17   DOI   ScienceOn
3 Wagner, M.H., 1979, Elongational behaviour of polymer melts in constant elongation-rate constant tensile stress, and constant tensile force experiments, Rheol. Acta 31, 44-54   DOI
4 Rubio, P. and M.H. Wagner, 2000, LDPE melt rheology and the pom-pom model, J. Non-Newtonian Fluid Mech. 92, 245-259   DOI   ScienceOn
5 Huilgol, R.R. and N. Phan-Thien, 1997, Fluid Mechanics of Viscoelasticity, Elsevier, Amsterdam
6 Meissner, J., 1979, Dehnungsverhalten von Polyaethylen-Schmelzen, Rheol. Acta 10, 230-292   DOI
7 Tanner, R.I., 2000, Engineering Rheology, 2nd edn., Oxford Univ. Press
8 Lodge, A.S., 1964, Elastic Liquids, Academic Press, London
9 Tanner, R.I., A.M. Zdilar and S. Nasseri, 2005, Recoil from elongation using general network models, Rheol. Acta 44, 513-520   DOI
10 Verbeeten, W.M.H., G.W.M. Peters and F.P.T. Baaijens, 2001, Differential constitutive equations for polymer melts: The extended Pom-Pom model, J. Rheol. 45, 823-843   DOI   ScienceOn
11 Verbeeten, W.M.H., G.W.M. Peters and F.P.T. Baaijens, 2002, Viscoelastic analysis of complex polymer melt flows using the extended Pom-Pom model, J. Non-Newtonian Fluid Mech. 108, 301-326   DOI   ScienceOn
12 Phan-Thien, N. and R.I. Tanner, 1977, A new constitutive equation derived from network theory, J. Non-Newtonian Fluid Mech. 2, 353-365   DOI   ScienceOn
13 Larson, R.G., 1988, Constitutive equations for polymer melts and solutions, Butterworths, Boston
14 Tanner, R.I. and K Walters, 1988, Rheology: An Historical Perspective, Elsevier, Amsterdam