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Finite Element Techniques for Rolling Rubber Wheels

  • Chapter
Elastomere Friction

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 51))

Abstract

Arbitrary Lagrangian Eulerian (ALE) methods provide a well established basis for the numerical analysis of rolling contact problems. Whereas the theoretical framework is well developed for elastic constitutive behavior, special measures are necessary for the computation of dissipative effects like inelastic properties and friction because the path of material points is not traced inherently. In this presentation a fractional step approach is suggested for the integration of the evolution equations for internal variables. A Time-Discontinuous Galerkin (TDG) method is introduced for the numerical solution of the related advection equations. Furthermore, a mathematically sound approach for the treatment of frictional rolling within the ALE description is suggested. By this novel and fully implicit algorithm the slip velocities are integrated along their path-lines. For dissipative effects due to both, inelastic behavior and friction, physical reliable results will be demonstrated as well as the computability of large scaled finite element tire-models.

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Authors and Affiliations

  1. Institut für Mechanik und Numerische Mechanik, Leibniz Universität Hannover, Appelstr. 9A, 30167, Hannover, Germany

    U. Nackenhorst, M. Ziefle & A. Suwannachit

Authors
  1. U. Nackenhorst
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  2. M. Ziefle
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  3. A. Suwannachit
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Editor information

Editors and Affiliations

  1. Institut für Kontinuumsmechanik, Gottfried Wilhelm Leibniz Universität, Appelstr. 11, 30167, Hannover, Germany

    Dieter Besdo  & Peter Wriggers  & 

  2. Institut für Mechatronische Systeme, Gottfried Wilhelm Leibniz Universität, Appelstraße 11a, 30167, Hannover, Germany

    Bodo Heimann

  3. Deutsches Institut für, Kautschuktechnologie e.V., Eupener Str. 33, 30519, Hannover, Germany

    Manfred Klüppel

  4. Institut für Maschinenelemente, Konstruktion und Fertigung, Technische Universität Bergakademie, Freiberg, Lampadiusstr. 4, 09596, Freiberg, Sachsen, Germany

    Matthias Kröger

  5. Institut für Baumechanik und Numerische Mechanik, Gottfried Wilhelm Leibniz Universität, Appelstr. 9A, 30167, Hannover, Germany

    Udo Nackenhorst

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Nackenhorst, U., Ziefle, M., Suwannachit, A. (2010). Finite Element Techniques for Rolling Rubber Wheels. In: Besdo, D., Heimann, B., Klüppel, M., Kröger, M., Wriggers, P., Nackenhorst, U. (eds) Elastomere Friction. Lecture Notes in Applied and Computational Mechanics, vol 51. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10657-6_5

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  • DOI: https://doi.org/10.1007/978-3-642-10657-6_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-10656-9

  • Online ISBN: 978-3-642-10657-6

  • eBook Packages: EngineeringEngineering (R0)

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