Viscoelastic Cosserat Rod Model for Spinning Processes

  • Walter Arne
  • Nicole Marheineke
  • Raimund Wegener
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 26)


Embedded in the special Cosserat theory (slender-body theory) we propose an incompressible viscoelastic rod model that covers viscous and elastic behavior in the asymptotic limits. Its applicability is demonstrated in an industrial fiber spinning process.



This work has been supported by German DFG, project 251706852, MA 4526/2-1, WE 2003/4-1.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2017

Authors and Affiliations

  • Walter Arne
    • 1
  • Nicole Marheineke
    • 2
  • Raimund Wegener
    • 1
  1. 1.Fraunhofer-Institut für Techno- und WirtschaftsmathematikKaiserslauternGermany
  2. 2.FAU Erlangen-NürnbergErlangenGermany

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