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On the strain energy distribution of two elastic solids under smooth contact
Powder Technology, Volume: 389, Pages: 376 - 382
Swansea University Author: Yuntian Feng
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©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)
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DOI (Published version): 10.1016/j.powtec.2021.05.037
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...
Published in: | Powder Technology |
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ISSN: | 0032-5910 |
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Elsevier BV
2021
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URI: | https://cronfa.swan.ac.uk/Record/cronfa56877 |
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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 |
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|
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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facultyofscienceandengineering |
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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 |
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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 |
2021-09-01T04:12:10Z |
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1763753832559411200 |
score |
11.02893 |