Polymer materials are multiscale systems by definition. Already the description of a single
macromolecule involves a multitude of scales, and cooperative processes in polymer …

Constitutive models for the dynamics of polymer solutions traditionally rely on closure
relations for the extra stress or related microstructural variables (eg, conformation tensor) …

We derive a thermodynamically consistent framework for incorporating entanglement
dynamics into constitutive equations for flowing polymer melts. We use this to combine the …

Prior studies have extensively shown that the discrete slip-link model (DSM) accurately
predicts the linear and nonlinear rheology of various entangled polymer systems. The only …

Equibiaxial elongational deformations are omnipresent in polymer processing technologies.
The challenge of generating well-controlled equibiaxial elongational deformations in the …

Harmonic balance (HB) is a popular Fourier–Galerkin method used in the analysis of
nonlinear vibration problems where dynamical systems are subjected to periodic forcing. We …

A variable-entanglement density constitutive model is developed for the description of the
rheological properties of entangled polymer melts and concentrated polymer solutions using …

It has recently been shown that predictions of the Rolie-Poly model—a leading constitutive
equation for the nonlinear rheology of well-entangled polymers—can exhibit …

While it is known that the Rolie Poly model is not guaranteed to be thermodynamically
consistent, definite examples of a thermodynamically inconsistent prediction have not yet …

In this paper which is the continuation of the isothermal viscoelastic model presented in
Gomez-Constante and Palade (2023), we incorporate temperature changes into our model …