Differential constitutive equations for polymer melts: The extended Pom-Pom model (Record no. 40826)

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control field 20250625124643.0
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Classification number (OCLC) (R) ; Classification number, CALL (RLIN) (NR) B-6483
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Title Differential constitutive equations for polymer melts: The extended Pom-Pom model
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Volume/sequential designation Journal of Rheology, 45(4), p.823-843, 2001
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Summary, etc. The Pom-Pom model, recently introduced by McLeish and Larson [J. Rheol. 42, 81-110 (1998)], is a breakthrough in the field of viscoelastic constitutive equations. With this model, a correct nonlinear behavior in both elongation and shear is accomplished. The original differential equations, improved with local branch-point displacement, are modified to overcome three drawbacks: solutions in steady state elongation show discontinuities, the equation for orientation is unbounded for high strain rates, the model does not have a second normal stress difference in shear. The modified extended Pom-Pom model does not show the three problems and is easy for implementation in finite element packages, because it is written as a single equation. Quantitative agreement is shown with experimental data in uniaxial, planar, equibiaxial elongation as well as shear, reversed flow and step-strain for two commercial low density polyethylene (LDPE)melts and one high density polyethylene (HDPE)melt. Such a good agreement over a full range of well defined rheometric experiments, i.e., shear, including reversed flow for one LDPE melt, and different elongational flows, is exceptional. ©2001 The Society of Rheology.
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Personal name Verbeeten, W.M.H.
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Personal name Peters, G.W.M.
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Personal name Baaijens, F.P.T.
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