A Theoretical Contact Mechanics Model of Machine Joint Interfaces Based on Fractal Theory

Liu, Wenwei; Yuanhang, Wang; Li, Xiaobing; Huang, Chuangmian; Yang, Jianfeng; Pan, Guangze; Ding, Xiaoqing

doi:10.1088/1757-899x/212/1/012015

Cited by 3 publications

(1 citation statement)

References 11 publications

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“…A theoretical contact mechanics model has been developed utilizing fractal theory for mechanical joint interfaces [18]. A FEM based elastic-plastic 3D fractal surface model has been developed and demonstrates the effect of fractal dimension and fractal roughness on the contact area and contact load [19].…”

Section: Introductionmentioning

confidence: 99%

The relation between fractal signature and topography parameters: a numerical and experimental study

Prajapati¹,

Tiwari²

2018

Surf. Topogr.: Metrol. Prop.

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Surfaces generated by various finishing techniques are inherently rough and manifest different characteristics at multiple scales. Due to the multiscale nature of rough surfaces, roughness parameters are different when calculated at different scales. In this work, self-affine surfaces are numerically generated and characterized using fractal, spectral, and statistical methodologies. Two new closed-form expressions are proposed to determine the mean summit radius and standard deviation of summit height. The atomic force microscope (AFM) is utilized to measure the polished surfaces. It is found that the fractal dimension of smooth surface is in the range of 2.15 ± 0.15. The effect of roll-off vector on roughness parameters is also discussed. Wear experiments are performed on pin-on-disc tribometer to see the evolution of fractal signature (H) with sliding time. It is shown numerically and verified experimentally that root mean square roughness decreases with increase in the fractal signature. This work is a part of understanding the fractal nature of surfaces, which can be further utilized to see the evolution of surface topography during the wear and rolling contact fatigue process. Furthermore, this work will be useful to analyze the surfaces produced by machining process like grinding, friction between the elastomer and self-affine fractal surfaces, in which wave vectors and topography parameters play significant role in controlling of friction.

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Section: Introductionmentioning

confidence: 99%

The relation between fractal signature and topography parameters: a numerical and experimental study

Prajapati¹,

Tiwari²

2018

Surf. Topogr.: Metrol. Prop.

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Effect of surfaces similarity on contact resistance of fractal rough surfaces under cyclic loading

Gao

Liu

et al. 2018

AIP Advances

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Although numerous studies have shown that contact resistance depends significantly on roughness and fractal dimension, it remains elusive how they affect contact resistance between rough surfaces. The interface similarity index is first proposed to describe the similarity of the contact surfaces, which gives a good indication of the actual contact area between surfaces. We reveal that the surfaces’ similarity be an origin of contact resistance variation. The cyclic loading can increase the contact stiffness, and the contact stiffness increases with the increase of the interface similarity index. These findings explain the mechanism of surface roughness and fractal dimension on contact resistance, and also provide reference for the reliability design of the electrical connection.

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A Fractal Model of Elastic–Plastic Contact Between Rough Surfaces for a Low-Velocity Impact Process

Lan

Fan

2021

Int. J. Comput. Methods

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Under the low-velocity impact conditions, in order to study the contact load variation law of the ellipsoid elastic bodies, an elastic–plastic contact analysis model of rough ellipsoid surfaces is provided based on elastic–plastic fractal theory. A spherical elastic–plastic fractal model considering friction factors is established, and the spherical diameter density distribution function and elastic contact mechanics are used as the solution methods. The two contact surfaces are taken as the research object, and the influence of relevant variables on the contact intensity is analyzed. The analysis results show that the fractal dimension and roughness have a greater effect on contact performance, the contact load is positively related to the surface roughness, and the lower friction coefficient has a weaker effect on the contact load, and the correctness of the present model is verified by comparing finite element simulation results and other studies. The modified spherical contact load function provides a theoretical basis for the friction and wear of the microscopic surface, it can be applied for solving the sliding contact problems with different impact velocities and the surface bearing capacity of the impact parts can be improved.

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A Theoretical Contact Mechanics Model of Machine Joint Interfaces Based on Fractal Theory

Cited by 3 publications

References 11 publications

The relation between fractal signature and topography parameters: a numerical and experimental study

The relation between fractal signature and topography parameters: a numerical and experimental study

Effect of surfaces similarity on contact resistance of fractal rough surfaces under cyclic loading

A Fractal Model of Elastic–Plastic Contact Between Rough Surfaces for a Low-Velocity Impact Process

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