Short note: Transformation between different solution methods for general axisymmetric tangential contact problems in Hertz-Mindlin approximation

2021/04/06 by Emanuel Willert, Willert, Emanuel
Engineering · #Adhesion, Friction, and Surface Interactions #FOS: Physical sciences #Gear and Bearing Dynamics Analysis #Mechanical stress and fatigue analysis #Soft Condensed Matter (cond-mat.soft)

paper · pdf · doi:10.48550/arxiv.2104.02436

openalex publication_date 2021/04/06 · openalex created_date 2021/04/13 · openalex updated_date 2026/07/28

Abstract

The transition between two conceptionally different solution procedures for general axisymmetric tangential contact problems with arbitrary laoding histories under Hertz-Mindlin assumptions is demonstrated, namely Jäger's superposition solution and the method of dimensionality reduction. Both finite and ininite superpositions of Cattaneo-Mindlin basis functions are considered. It is shown how the weights in the superposition solution can be easily obtained from the displacements in the MDR model.

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