Impact of an elastic sphere with an elastic half space revisited: Numerical analysis based on the method of dimensionality reduction

An impact of an elastic sphere with an elastic half space under no-slip conditions (infinitely large coefficient of friction) is studied numerically using the method of dimensionality reduction. It is shown that the rebound velocity and angular velocity, written as proper dimensionless variables, ar...

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Autores principales: Lyashenko, I. A., Popov, V. L.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group 2015
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4329545/
https://www.ncbi.nlm.nih.gov/pubmed/25684339
http://dx.doi.org/10.1038/srep08479
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author Lyashenko, I. A.
Popov, V. L.
author_facet Lyashenko, I. A.
Popov, V. L.
author_sort Lyashenko, I. A.
collection PubMed
description An impact of an elastic sphere with an elastic half space under no-slip conditions (infinitely large coefficient of friction) is studied numerically using the method of dimensionality reduction. It is shown that the rebound velocity and angular velocity, written as proper dimensionless variables, are determined by a function of only the ratio of tangential and normal stiffness ("Mindlin-ratio"). The obtained numerical results can be approximated by a simple analytical expression.
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spelling pubmed-43295452015-02-23 Impact of an elastic sphere with an elastic half space revisited: Numerical analysis based on the method of dimensionality reduction Lyashenko, I. A. Popov, V. L. Sci Rep Article An impact of an elastic sphere with an elastic half space under no-slip conditions (infinitely large coefficient of friction) is studied numerically using the method of dimensionality reduction. It is shown that the rebound velocity and angular velocity, written as proper dimensionless variables, are determined by a function of only the ratio of tangential and normal stiffness ("Mindlin-ratio"). The obtained numerical results can be approximated by a simple analytical expression. Nature Publishing Group 2015-02-16 /pmc/articles/PMC4329545/ /pubmed/25684339 http://dx.doi.org/10.1038/srep08479 Text en Copyright © 2015, Macmillan Publishers Limited. All rights reserved http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article's Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder in order to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
spellingShingle Article
Lyashenko, I. A.
Popov, V. L.
Impact of an elastic sphere with an elastic half space revisited: Numerical analysis based on the method of dimensionality reduction
title Impact of an elastic sphere with an elastic half space revisited: Numerical analysis based on the method of dimensionality reduction
title_full Impact of an elastic sphere with an elastic half space revisited: Numerical analysis based on the method of dimensionality reduction
title_fullStr Impact of an elastic sphere with an elastic half space revisited: Numerical analysis based on the method of dimensionality reduction
title_full_unstemmed Impact of an elastic sphere with an elastic half space revisited: Numerical analysis based on the method of dimensionality reduction
title_short Impact of an elastic sphere with an elastic half space revisited: Numerical analysis based on the method of dimensionality reduction
title_sort impact of an elastic sphere with an elastic half space revisited: numerical analysis based on the method of dimensionality reduction
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4329545/
https://www.ncbi.nlm.nih.gov/pubmed/25684339
http://dx.doi.org/10.1038/srep08479
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