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Research Article | Open Access

Three-dimensional finite element analysis of shallow indentation of rough strain-hardening surface

Chenghui GAO1, Henry PROUDHON2( ), Ming LIU1( )
School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350116, China
Centre des Matériaux, MINES Paris Tech, Evry Cedex 91003, France
Show Author Information

Abstract

Three-dimensional finite element modeling of the contact between a rigid spherical indenter and a rough surface is presented when considering both the loading and unloading phases. The relationships among the indentation load, displacement, contact area, and mean contact pressure for both loading and unloading are established through a curve fitting using sigmoid logistic and power law functions. The contact load is proportional to the contact area, and the mean contact pressure is related to the characteristic stress, which is dependent on the material properties. The residual displacement is proportional to the maximum indentation displacement. A proportional relationship also exists for plastically dissipated energy and work conducted during loading. The surface roughness results in an effective elastic modulus calculated from an initial unloading stiffness several times larger than the true value of elastic modulus. Nonetheless, the calculated modulus under a shallow spherical indentation can still be applied for a relative comparison.

Keywords

finite element modelingsurface analysiscontact mechanicsindentationspherical indenter

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Friction
Volume 7 Issue 6,
December 2019
Pages 587-602
DOI: 10.1007/s40544-018-0245-3
Cite this article:
GAO C, PROUDHON H, LIU M. Three-dimensional finite element analysis of shallow indentation of rough strain-hardening surface. Friction, 2019, 7(6): 587-602. https://doi.org/10.1007/s40544-018-0245-3

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Received: 09 November 2017
Revised: 09 May 2018
Accepted: 05 September 2018
Published: 12 November 2018
© The author(s) 2018

This article is published with open access at Springerlink.com

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