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On the strain energy distribution of two elastic solids under smooth contact

Yuntian Feng Orcid Logo, Wei Gao

Powder Technology, Volume: 389, Pages: 376 - 382

Swansea University Author: Yuntian Feng Orcid Logo

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Abstract

The Hertz contact law for two linear elastic spheres plays a very important role inthe discrete element method (DEM). Within the classic Hertz contact theory, the contactstrain energy distribution in the two contacting spheres is analytically derived, whichstates that the ratio between the strain en...

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Published in: Powder Technology
ISSN: 0032-5910
Published: Elsevier BV 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa56877
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spelling 2021-08-09T16:52:18.0995797 v2 56877 2021-05-14 On the strain energy distribution of two elastic solids under smooth contact d66794f9c1357969a5badf654f960275 0000-0002-6396-8698 Yuntian Feng Yuntian Feng true false 2021-05-14 CIVL The Hertz contact law for two linear elastic spheres plays a very important role inthe discrete element method (DEM). Within the classic Hertz contact theory, the contactstrain energy distribution in the two contacting spheres is analytically derived, whichstates that the ratio between the strain energies stored in the two spheres is solely dependent on their material properties, regardless of their radii. This strain distribution law isgenerally valid for non-spherical and other contact cases, provided that the two surfacesin contact can be reasonably treated as two elastic half-spaces and that the deformationis small. The independence feature of the law from the contact geometry also greatlyfacilitates the computation of the contact strain energy stored at particle level. As adirect consequence of this law, the contact point between two particles in DEM couldalso be determined. The numerical simulations demonstrate good agreement between thetheoretical prediction and the numerical results for the tested cases involving spheres andellipsoids with varying sizes and material properties. Journal Article Powder Technology 389 376 382 Elsevier BV 0032-5910 Hertz contact theory; Hertz assumptions; Strain energy distribution; Numerical validation 1 9 2021 2021-09-01 10.1016/j.powtec.2021.05.037 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2021-08-09T16:52:18.0995797 2021-05-14T14:19:54.3325242 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Yuntian Feng 0000-0002-6396-8698 1 Wei Gao 2 56877__19898__8a73b47515b147eebef935a1615af207.pdf 56877.pdf 2021-05-14T14:21:43.6755533 Output 2563854 application/pdf Accepted Manuscript true 2022-05-21T00:00:00.0000000 ©2021 All rights reserved. All article content, except where otherwise noted, is licensed under a Creative Commons Attribution Non-Commercial No Derivatives License (CC-BY-NC-ND) true eng http://creativecommons.org/licenses/by-nc-nd/4.0/
title On the strain energy distribution of two elastic solids under smooth contact
spellingShingle On the strain energy distribution of two elastic solids under smooth contact
Yuntian Feng
title_short On the strain energy distribution of two elastic solids under smooth contact
title_full On the strain energy distribution of two elastic solids under smooth contact
title_fullStr On the strain energy distribution of two elastic solids under smooth contact
title_full_unstemmed On the strain energy distribution of two elastic solids under smooth contact
title_sort On the strain energy distribution of two elastic solids under smooth contact
author_id_str_mv d66794f9c1357969a5badf654f960275
author_id_fullname_str_mv d66794f9c1357969a5badf654f960275_***_Yuntian Feng
author Yuntian Feng
author2 Yuntian Feng
Wei Gao
format Journal article
container_title Powder Technology
container_volume 389
container_start_page 376
publishDate 2021
institution Swansea University
issn 0032-5910
doi_str_mv 10.1016/j.powtec.2021.05.037
publisher Elsevier BV
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
document_store_str 1
active_str 0
description The Hertz contact law for two linear elastic spheres plays a very important role inthe discrete element method (DEM). Within the classic Hertz contact theory, the contactstrain energy distribution in the two contacting spheres is analytically derived, whichstates that the ratio between the strain energies stored in the two spheres is solely dependent on their material properties, regardless of their radii. This strain distribution law isgenerally valid for non-spherical and other contact cases, provided that the two surfacesin contact can be reasonably treated as two elastic half-spaces and that the deformationis small. The independence feature of the law from the contact geometry also greatlyfacilitates the computation of the contact strain energy stored at particle level. As adirect consequence of this law, the contact point between two particles in DEM couldalso be determined. The numerical simulations demonstrate good agreement between thetheoretical prediction and the numerical results for the tested cases involving spheres andellipsoids with varying sizes and material properties.
published_date 2021-09-01T04:08:29Z
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score 10.928156