2015/08/18 by Ivan Argatov, Ivan I. Argatov, Argatov, Ivan I. +2
Engineering · Physics and Astronomy · #Adhesion, Friction, and Surface Interactions #Advanced Measurement and Metrology Techniques #Advanced machining processes and optimization #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Soft Condensed Matter (cond-mat.soft) #cond-mat.mtrl-sci #cond-mat.soft
paper · pdf · doi:10.48550/arxiv.1508.04237
18 pages, 3 figures
arxiv created 2015/08/18 · openalex publication_date 2015/08/18 · arxiv updated 2015/08/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The method of dimensionality reduction (MDR) is extended for the axisymmetric frictionless unilateral Hertz-type contact problem for a viscoelastic half-space and an arbitrary axisymmetric rigid indenter under the assumption that an arbitrarily evolving in time circular contact area remains singly connected during the whole process of indentation. In particular, the MDR is applied to study in detail the so-called rebound indentation problem, where the contact radius has a single maximum. It is shown that the obtained closed-form analytical solution for the rebound indentation displacement (recorded in the recovery phase, when the contact force vanishes) does not depend on the indenter shape.