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Adhesive contact of a power-law graded elastic half-space with a randomly rough rigid surface.pdf
International Journal of Solids and Structures 81 (2016) 244–249
Contents lists available at ScienceDirect
International Journal of Solids and Structures
journal homepage: /locate/ijsolstr
Adhesive contact of a power-law graded elastic half-space with a randomly rough rigid surface
Fan Jin a, Wei Zhang b, Qiang Wan a, Xu Guo c,?
a Institute of Systems Engineering, China Academy of Engineering Physics, Mianyang, Sichuan 621900, PR China b Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL 32601, USA c State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, PR China
article info
Article history: Received 27 July 2015 Revised 20 October 2015 Available online 14 December 2015
Keywords: Contact mechanics Adhesion Power-law graded materials Rough surfaces Adhesion hysteresis
abstract
A theoretical model of a power-law graded elastic half-space in contact with a randomly rough rigid surface is established by combining the Greenwood–Williamson rough contact model and the JKR type adhesion model for power-law graded materials. The rough surface is modeled as an ensemble of non-interacting asperities with identical radius of curvature and Gaussian distributed heights. By applying the JKR type theory for power-law graded solids to each individual asperity of the rough surface, the total normal forces for the rough surface are derived for loading and unloading stages, respectively, and a prominent adhesion hysteresis associated with dissipation energy is revealed. Our results include the solutions for homogeneous materials and Gibson solids as special cases and describe the complete transition between these two limiting situations. A dimensionless adhesion parameter, which in?uences both the total pull-off force and the energy dissipation due to adhesive hysteresis, is also identi?ed. It is found that a small adhesion parameter results in hi
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