Integral fractional viscoelastic models in SPH: LAOS simulations versus experimental data

TL;DR

This paper demonstrates that integrating an integral fractional viscoelastic model within SPH simulations effectively predicts both linear and nonlinear rheological behaviors of polymer melts, aligning well with experimental data.

Contribution

It introduces a novel SPH-based simulation approach using an integral fractional model for complex viscoelastic polymer behavior, validated against experimental results.

Findings

Numerical results agree well with experimental data.

The model captures both linear and nonlinear viscoelastic behaviors.

SPH with fractional models is promising for complex polymer simulations.

Abstract

The rheological behaviour of a polymer was investigated by performing numerical simulations in complex flow and comparing them to experiments. For our simulations, we employed a Smoothed Particle Hydrodynamics scheme, utilizing an integral fractional model based on the K-BKZ framework. The results are compared with experiments performed on melt-state isotactic polypropylene under medium and large amplitude oscillatory shear. The numerical results are in good agreement with the experimental data, and the model is able to capture and predict both the linear and the non-linear viscoelastic behaviours of the polymer melt. Results show that equipping SPH with an integral fractional model is promising approach for the simulation of complex polymeric materials under realistic conditions.