Short note: Transformation between different solution methods for general axisymmetric tangential contact problems in Hertz-Mindlin approximation
Soft Condensed Matter
2021-04-08 v2
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 J\"ager'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.
Cite
@article{arxiv.2104.02436,
title = {Short note: Transformation between different solution methods for general axisymmetric tangential contact problems in Hertz-Mindlin approximation},
author = {Emanuel Willert},
journal= {arXiv preprint arXiv:2104.02436},
year = {2021}
}