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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
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa56877
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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 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.
Keywords: Hertz contact theory; Hertz assumptions; Strain energy distribution; Numerical validation
College: College of Engineering
Start Page: 376
End Page: 382