## A unified constitutive theory for polymeric liquid |

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### Contents

Development of the Theory | 5 |

Proposed Constitutive Relations for Isotropic | 21 |

Conclusion | 33 |

8 other sections not shown

### Common terms and phrases

Acierno Appendix assumed Cauchy Clausius-Duhem inequality coefficients constitutive equations constitutive theory continuum mechanical creation of junctions Dashner-Van Arsdale model deformation process deformation tensor derivative dimensionless shear rates effective Finger strain effective relaxation elastic stress elongational flow elongational viscosity evolution equation evolution of isotropic-state experimental data front factor Giesekus Helmholtz free energy hyperelastic material internal entropy production introduced isotropic isotropic viscous medium isotropic-state configuration Leonov model Lodge's theory loss and creation low density polyethylene Marrucci model model predictions molecular network theories network configuration network deformation network system Non-Newt normal stress difference Phan Thien polyethylene at 150°C polymeric liquid present model present theory rate of loss Rheol rigidity modulus rubberlike material second normal stress shear flow shear stress shear thinning effect simple shear Spectral decomposition steady state value strain g strain tensor stress growth theory of rubberlike thermodynamic forces Upadhyay velocity gradient viscoelastic vorticity tensors