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Numerical techniques for rolling rubber wheels: treatment of inelastic material properties and frictional contact

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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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  1. Institute of Mechanics and Computational Mechanics, Leibniz University of Hannover, Appelstr. 9A, 30167, Hannover, Germany

    M. Ziefle & U. Nackenhorst

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  1. M. Ziefle
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  2. U. Nackenhorst
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Correspondence to M. Ziefle.

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Ziefle, M., Nackenhorst, U. Numerical techniques for rolling rubber wheels: treatment of inelastic material properties and frictional contact. Comput Mech 42, 337–356 (2008). https://doi.org/10.1007/s00466-008-0243-9

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  • DOI: https://doi.org/10.1007/s00466-008-0243-9

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