Abstract

AbstractTo describe uncured rubber melt flow, a modified Phan–Thien–Tanner (PTT) model was proposed to characterize the rheological behavior and a viscoelastic one-dimensional flow theory was established in terms of incompressible fluid. The corresponding numerical method was constructed to determine the solution. Rotational rheological experiments were conducted to validate the proposed model. The influence of the parameters in the constitutive model was investigated by comparing the calculated and experimental viscosity to determine the most suitable parameters. The uncured rubber viscosity was 3–4 orders larger than that of plastic and did not have a visible Newtonian region. Compared with the Cross-Williams-Landel-Ferry (Cross-WLF) and original PTT models, the modified PTT model can describe the rheological characteristics in the entire shear-rate region if the parameters are set correctly.

Highlights

  • Rubber injection molding has been used to manufacture a wide range of industrial products because of its accurate replication, high efficiency and automation

  • To describe uncured rubber melt flow, a modified Phan–Thien–Tanner (PTT) model was proposed to characterize the rheological behavior and a viscoelastic one-dimensional flow theory was established in terms of incompressible fluid

  • The uncured rubber melt exhibits viscous and can be regarded as the generalized Newtonian fluid in low shear rate region. The viscous model such as Cross-WLF, Carreau has been widely used in the rubber flow simulations owing to its simplicity

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Summary

Introduction

Rubber injection molding has been used to manufacture a wide range of industrial products because of its accurate replication, high efficiency and automation. The uncured rubber melt exhibits viscous and can be regarded as the generalized Newtonian fluid in low shear rate region. The viscous model such as Cross-WLF, Carreau has been widely used in the rubber flow simulations owing to its simplicity. Varchanis et al [15] evaluated the classical constitutive models of integral and differential type (like Kaye–Bernstein–Kearsley–Zapas (K-BKZ), Giesekus, PTT, etc.) with rheological experiments They found that all the models can make similar predictions for polydisperse linear polymers characterized with multiple modes. No obvious Newtonian region existed (i.e., the viscosity remained almost constant within the low shear-rate region) This unique characteristic requires attention when the constitutive model is constructed. It was placed on a Peltier plate and heated to the

Model and Simulation
Governing equations
Constitutive model
Cross-WLF model
Modified PTT model
Influence of nonlinear item
Influence of shear-rate derivative
Model validation
Conclusions
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