Article
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Viscoelastic Hertzian Impact — Feature Article
Version 1
: Received: 17 April 2024 / Approved: 17 April 2024 / Online: 17 April 2024 (17:02:43 CEST)
How to cite: Argatov, I. Viscoelastic Hertzian Impact — Feature Article. Preprints 2024, 2024041173. https://doi.org/10.20944/preprints202404.1173.v1 Argatov, I. Viscoelastic Hertzian Impact — Feature Article. Preprints 2024, 2024041173. https://doi.org/10.20944/preprints202404.1173.v1
Abstract
The problem of normal impact of a rigid sphere onto a Maxwell viscoelastic solid half-space is considered. The first-order asymptotic solution is constructed in the framework of Hunter’s model of viscoelastic impact [Hunter, S. C., 1957. Energy absorbed by elastic waves during impact. Journal of the Mechanics and Physics of Solids, 5(3), 162–171.]. In particular, simple analytical approximations have been derived for the maximum contact force and the time to achieve it. A linear regression method is suggested for evaluating the instantaneous elastic modulus and the mean relaxation time from a set of experimental data collected for different impactors and impact velocities.
Keywords
impact problem; spherical impactor; Hertzian impact; Maxwell viscoelastic solid; asymptotic model; maximum contact force; impact duration; coefficient of restitution
Subject
Engineering, Mechanical Engineering
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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