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Volume 12
Issue 6
10.3390/lubricants12060193
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Article

Viscoelastic Hertzian Impact

by
Ivan Argatov
Institut für Mechanik, Technische Universität Berlin, 10623 Berlin, Germany
Lubricants 2024, 12(6), 193; https://doi.org/10.3390/lubricants12060193
Submission received: 16 April 2024 / Revised: 14 May 2024 / Accepted: 15 May 2024 / Published: 28 May 2024
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Abstract

The problem of normal impact of a rigid sphere on 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. 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 spherical impactors and impact velocities.
Keywords: impact problem; spherical impactor; Hertzian impact; Maxwell viscoelastic solid; asymptotic model; maximum contact force; impact duration; coefficient of restitution impact problem; spherical impactor; Hertzian impact; Maxwell viscoelastic solid; asymptotic model; maximum contact force; impact duration; coefficient of restitution

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MDPI and ACS Style

Argatov, I. Viscoelastic Hertzian Impact. Lubricants 2024, 12, 193. https://doi.org/10.3390/lubricants12060193

AMA Style

Argatov I. Viscoelastic Hertzian Impact. Lubricants. 2024; 12(6):193. https://doi.org/10.3390/lubricants12060193

Chicago/Turabian Style

Argatov, Ivan. 2024. "Viscoelastic Hertzian Impact" Lubricants 12, no. 6: 193. https://doi.org/10.3390/lubricants12060193

APA Style

Argatov, I. (2024). Viscoelastic Hertzian Impact. Lubricants, 12(6), 193. https://doi.org/10.3390/lubricants12060193

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