Simulation-based High-Speed Elongational Rheometer for Carreau-type Materials
<|reference_start|>Simulation-based High-Speed Elongational Rheometer for Carreau-type Materials: For the simulation-based design of fiber melt spinning processes, the accurate modeling of the processed polymer with regard to its material behavior is crucial. In this work, we develop a high-speed elongational rheometer for Carreau-type materials, making use of process simulations and fiber diameter measurements. The procedure is based on a unified formulation of the fiber spinning model for all material types (Newtonian and non-Newtonian), whose material laws are strictly monotone in the strain rate. The parametrically described material law for the elongational viscosity implies a nonlinear optimization problem for the parameter identification, for which we propose an efficient, robust gradient-based method. The work can be understood as a proof of concept, a generalization to other, more complex materials is possible.<|reference_end|>
@article{kannengiesser2024simulation-based,
    title={Simulation-based High-Speed Elongational Rheometer for Carreau-type
  Materials},
    author={Lukas Kannengiesser, Walter Arne, Alexander Bier, Nicole Marheineke,
  Dirk W. Schubert, Raimund Wegener},
    journal={arXiv preprint arXiv:2403.01812},
    year={2024},
    archivePrefix={arXiv},
    eprint={2403.01812},
    primaryClass={math.NA cs.NA}
}