Loading-unloading contact model between three-dimensional fractal rough surfaces
Source abstract
Abstract
Based on fractal theory, a loading-unloading contact model between three-dimensional rough surfaces has been developed. The critical contact areas of a single asperity are scale dependent. The expressions between contact area and contact load for a single asperity in loading and unloading processes are obtained. The truncated asperity size distribution functions of different frequency indexes in loading and unloading processes are deduced. The dimensionless relation between the total contact load and the total real contact area is obtained in loading and unloading processes. When 3D fractal rough surface is in elastic deformation, the dimensionless load-area relations of loading and unloading processes are identical. When 3D fractal rough surface is in inelastic deformation, the dimensionless total real area in unloading process is greater than the dimensionless total real area in loading process for a given contact load. For a given load, the differences in total real contact area between loading and unloading processes decrease with an increase in fractal dimension.
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Research context
OpenAlex topics: Adhesion, Friction, and Surface Interactions · Tribology and Lubrication Engineering · Gear and Bearing Dynamics Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
College of Mechanical and Precision Instrument Engineering, XI’AN University of Technology , Xi’an 710048, China
Funding
National Natural Science Foundation of China · China Postdoctoral Science Foundation
References (21)
Show source-provided references
1. Semi-analytical model for rough multilayered contacts10.1016/j.triboint.2015.01.006 ↗
2. Analytical solutions for elastic fields caused by eigenstrains in two joined and perfectly bonded half-spaces and related problems10.1016/j.ijplas.2015.07.006 ↗
3. Multiscale FEM approach for hysteresis friction of rubber on rough surfaces10.1016/j.cma.2015.08.003 ↗
4. A multiscale method for frictionless contact mechanics of rough surfaces10.1016/j.triboint.2015.12.023 ↗
5. Contact of nominally flat surfaces10.1098/rspa.1966.0242 ↗
6. Contact mechanics analysis of oscillatory sliding of a rigid fractal surface against an elastic–plastic half-space10.1080/14786435.2014.953618 ↗
7. Adhesive contact of an elastic semi-infinite solid with a rigid rough surface: Strength of adhesion and contact instabilities10.1016/j.ijsolstr.2013.10.039 ↗
8. Adhesive contact of a power-law graded elastic half-space with a randomly rough rigid surface10.1016/j.ijsolstr.2015.12.001 ↗
9. Statistical model of rough surface contact accounting for size-dependent plasticity and asperity interaction10.1016/j.jmps.2017.05.014 ↗
10. Statistical analysis of tangential contact stiffness of joint surfaces10.1007/s00419-015-1033-4 ↗
11. Unloading an elastic–plastic contact of rough surfaces10.1016/j.jmps.2006.04.013 ↗
12. Unloading of an elastic–plastic loaded spherical contact10.1016/j.ijsolstr.2004.12.006 ↗
13. Fractal model of elastic-plastic contact between rough surfaces10.1115/1.2920588 ↗
14. Contact analysis of elastic-plastic fractal surfaces10.1063/1.368536 ↗
15. A complete contact model of a fractal rough surface10.1016/j.wear.2013.10.014 ↗
16. Research on normal contact stiffness of rough surface considering friction based on fractal theory10.1016/j.apsusc.2015.04.174 ↗
17. Research on fractal model of normal contact stiffness between two spheroidal joint surfaces considering friction factor10.1016/j.triboint.2016.01.023 ↗
18. Research on fractal model of normal contact stiffness for mechanical joint considering asperity interaction10.1016/j.ijmecsci.2017.10.019 ↗
19. A revised Majumdar and Bushan model of elastoplastic contact between rough surfaces10.1016/j.apsusc.2017.06.294 ↗
20. 1987
21. Elastic-plastic contact analysis of a sphere and a rigid flat10.1115/1.1490373 ↗