2021/08/10 by Emanuel Willert, Willert, Emanuel
Engineering · #Adhesion, Friction, and Surface Interactions #FOS: Physical sciences #Gear and Bearing Dynamics Analysis #Materials Science (cond-mat.mtrl-sci) #Mechanical stress and fatigue analysis
paper · pdf · doi:10.48550/arxiv.2108.04617
openalex publication_date 2021/08/10 · openalex created_date 2021/08/16 · openalex updated_date 2026/07/28
As an improvement to the recently proposed procedure for the determination of the stress state beneath axisymmetric tangential contacts in Hertz-Mindlin approximation via an appropriate superposition of solutions for the respective flat-punch problem, the determination via the superposition of solutions for parabolic contact is demonstrated. It has two advantages over the flat-punch formulation: the numerical implementation is slightly easier and more stable, due to the absence of stress singularities for the smooth parabolic profile. As a numerical example, the oscillating tangential contact between a rigid indenter with a profile in the form of a power-law (with exponent 4) and an elastic half-space is considered in detail.