2023/10/05 by Emanuel Willert, Willert, Emanuel
Computer Science · Engineering · #Adhesion, Friction, and Surface Interactions #Contact Mechanics and Variational Inequalities #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Mechanical stress and fatigue analysis
paper · pdf · doi:10.48550/arxiv.2310.03508
openalex publication_date 2023/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Based on a potential theoretical approach, the subsurface stress field is calculated for an elastic-half space, which is subject to normal and uniaxial tangential surface tractions that - in the case of elastic decoupling - correspond to rigid normal and tangential translations of a circular surface domain. The stress fields are obtained explicitly and in closed form as the imaginary parts of compact complex-valued expressions. The stress state in the surface and on the central axis are considered in detail. As, within specific approximations that have been discussed at length in the literature, any tangential contact problem with friction can be understood as a certain incremental series of such rigid translations, the solutions presented here can serve as the basis of very fast superposition algorithms for the analysis of subsurface stress fields in general tangential contact problems with friction.