Editorial Type:
Article Category: Research Article
 | 
Online Publication Date: 24 Aug 2022

Arbitrary Lagrangian-Eulerian Remeshing in FE Simulations of Tire Forming

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Page Range: 370 – 376
DOI: 10.2346/tire.22.22004
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ABSTRACT

Tire forming simulation is challenging for Lagrangian finite element method codes due to large changes in the geometry of the tire in the course of molding. This Technical Note briefly describes the use of Arbitrary Lagrangian-Eulerian (ALE) adaptive remeshing in the context of tire molding and curing simulations. The ALE concept generalizes the pure Lagrangian formulation, where the solution within a time step is split into a mesh smoothing step, a history remapping step, and a Lagrangian step. Mesh distortion is reduced in the smoothing step by optimizing the node positions of spatial and material meshes without changing the data structure. The advantage of the ALE approach is demonstrated by a tire forming example.

Keywords: ALE; remeshing; tire; forming
FIG. 1 —
FIG. 1 —

ALE kinematics with the initial configuration as the reference configuration.


FIG. 2 —
FIG. 2 —

Tire details and FE discretization, dimensions in [mm].


FIG. 3 —
FIG. 3 —

Evolution of (a) the temperature field and (b) the degree of vulcanization.


FIG. 4 —
FIG. 4 —

Comparison of the final results obtained by the ALE and Lagrangian approaches.


Contributor Notes

Institute for Structural Analysis, TU Dresden, Georg-Schumann-Str. 7, 01187 Dresden, Germany. Email: imadeddin.zreid@tu-dresden.de
State Key Laboratory of Automotive Safety and Energy, Tsinghua University, Lee Shau Kee Science and Technology Building, A539, Beijing, 100084, China. Email: weiyt@tsinghua.edu.cn
Corresponding author. Institute for Structural Analysis, TU Dresden, Georg-Schumann-Str. 7, 01187 Dresden, Germany. Email: michael.kaliske@tu-dresden.de
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