---
_id: '67202'
abstract:
- lang: eng
  text: Friction spinning is a metal forming process that can be used to manufacture
    various shapes by rotating a metallic workpiece relative to a blunt tool. When
    used as a hot metal forming process, the relative velocity between workpiece and
    tool is increased until substantial heat is generated due to friction. This frictional
    heat softens the workpiece and allows it to be more readily shaped. However, the
    process's complex interactions between mechanical, frictional and thermal effects
    pose significant challenges for numerical modelling. The present study outlines
    a numerical model that uses the arbitrary Lagrangian–Eulerian (ALE) formulation
    in a rotating frame to simulate the friction spinning process. The key enabler
    is an incremental ALE formulation with reference‐velocity‐based remapping that
    allows for severe deformation and large rotational motion while preserving path‐dependent
    constitutive history variables. Proof‐of‐concept examples demonstrate its ability
    to simulate the upsetting of rods and rivets by friction spinning. The potential
    of the ALE formulation for modelling friction spinning is thereby confirmed, which
    paves the way for further research, model enhancements, parameter identifications
    and applications.
article_number: e70168
author:
- first_name: Johannes
  full_name: Friedlein, Johannes
  last_name: Friedlein
- first_name: Maien
  full_name: Hamed, Maien
  last_name: Hamed
- first_name: Paul
  full_name: Steinmann, Paul
  last_name: Steinmann
- first_name: Julia
  full_name: Mergheim, Julia
  last_name: Mergheim
citation:
  ama: 'Friedlein J, Hamed M, Steinmann P, Mergheim J. Arbitrary Lagrangian–Eulerian
    Formulation in a Rotating Frame to Model Friction Spinning. In: <i>Proceedings
    in Applied Mathematics and Mechanics</i>. Vol 26. Wiley; 2026. doi:<a href="https://doi.org/10.1002/pamm.70168">10.1002/pamm.70168</a>'
  apa: Friedlein, J., Hamed, M., Steinmann, P., &#38; Mergheim, J. (2026). Arbitrary
    Lagrangian–Eulerian Formulation in a Rotating Frame to Model Friction Spinning.
    <i>Proceedings in Applied Mathematics and Mechanics</i>, <i>26</i>(4), Article
    e70168. <a href="https://doi.org/10.1002/pamm.70168">https://doi.org/10.1002/pamm.70168</a>
  bibtex: '@inproceedings{Friedlein_Hamed_Steinmann_Mergheim_2026, title={Arbitrary
    Lagrangian–Eulerian Formulation in a Rotating Frame to Model Friction Spinning},
    volume={26}, DOI={<a href="https://doi.org/10.1002/pamm.70168">10.1002/pamm.70168</a>},
    number={4e70168}, booktitle={Proceedings in Applied Mathematics and Mechanics},
    publisher={Wiley}, author={Friedlein, Johannes and Hamed, Maien and Steinmann,
    Paul and Mergheim, Julia}, year={2026} }'
  chicago: Friedlein, Johannes, Maien Hamed, Paul Steinmann, and Julia Mergheim. “Arbitrary
    Lagrangian–Eulerian Formulation in a Rotating Frame to Model Friction Spinning.”
    In <i>Proceedings in Applied Mathematics and Mechanics</i>, Vol. 26. Wiley, 2026.
    <a href="https://doi.org/10.1002/pamm.70168">https://doi.org/10.1002/pamm.70168</a>.
  ieee: 'J. Friedlein, M. Hamed, P. Steinmann, and J. Mergheim, “Arbitrary Lagrangian–Eulerian
    Formulation in a Rotating Frame to Model Friction Spinning,” in <i>Proceedings
    in Applied Mathematics and Mechanics</i>, Stuttgart, 2026, vol. 26, no. 4, doi:
    <a href="https://doi.org/10.1002/pamm.70168">10.1002/pamm.70168</a>.'
  mla: Friedlein, Johannes, et al. “Arbitrary Lagrangian–Eulerian Formulation in a
    Rotating Frame to Model Friction Spinning.” <i>Proceedings in Applied Mathematics
    and Mechanics</i>, vol. 26, no. 4, e70168, Wiley, 2026, doi:<a href="https://doi.org/10.1002/pamm.70168">10.1002/pamm.70168</a>.
  short: 'J. Friedlein, M. Hamed, P. Steinmann, J. Mergheim, in: Proceedings in Applied
    Mathematics and Mechanics, Wiley, 2026.'
conference:
  location: Stuttgart
  name: 96th Annual Meeting of the International Association of Applied Mathematics
    and Mechanics (GAMM 2026)
date_created: 2026-09-22T05:49:02Z
date_updated: 2026-09-22T05:55:33Z
doi: 10.1002/pamm.70168
intvolume: '        26'
issue: '4'
language:
- iso: eng
project:
- _id: '130'
  name: 'TRR 285:  Methodenentwicklung zur mechanischen Fügbarkeit in wandlungsfähigen
    Prozessketten'
- _id: '131'
  name: TRR 285 - Project Area A
- _id: '139'
  name: TRR 285 - Subproject A05
publication: Proceedings in Applied Mathematics and Mechanics
publication_identifier:
  issn:
  - 1617-7061
  - 1617-7061
publication_status: published
publisher: Wiley
status: public
title: Arbitrary Lagrangian–Eulerian Formulation in a Rotating Frame to Model Friction
  Spinning
type: conference
user_id: '84990'
volume: 26
year: '2026'
...