English

Simulation-based High-Speed Elongational Rheometer for Carreau-type Materials

Numerical Analysis 2024-03-05 v1 Numerical Analysis

Abstract

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.

Cite

@article{arxiv.2403.01812,
  title  = {Simulation-based High-Speed Elongational Rheometer for Carreau-type Materials},
  author = {Lukas Kannengiesser and Walter Arne and Alexander Bier and Nicole Marheineke and Dirk W. Schubert and Raimund Wegener},
  journal= {arXiv preprint arXiv:2403.01812},
  year   = {2024}
}
R2 v1 2026-06-28T15:08:02.184Z