A Rough Surface Contact Model for General Anisotropic Materials

2004 ◽  
Vol 126 (1) ◽  
pp. 41-49 ◽  
Author(s):  
Yuan Lin ◽  
Timothy C. Ovaert
Keyword(s):  
Rough Surface ◽  
Half Space ◽  
Contact Pressure ◽  
Surface Displacement ◽  
Anisotropic Materials ◽  
Elastic Half Space ◽  
Iteration Scheme ◽  
Real Contact Area ◽  
Surface Contact ◽  
Rough Surface Contact

A method for solving the two-dimensional (2-D) isothermal rough surface contact problem of general anisotropic materials with friction is presented. By using Stroh’s formalism, the surface displacements of an elastic half-space due to uniform distributions of traction over a strip are derived from the surface Green’s function. The surface displacement and subsurface stresses of the anisotropic half-space due to the distributed contact pressure may then be calculated by superposition. The real contact area and the contact pressure are determined via an iteration scheme using the conjugate gradient method.

scholarly journals Elastic Rough Surface Contact and the Root Mean Square Slope of Measured Surfaces over Multiple Scales

2021 ◽  
Vol 5 (2) ◽  
pp. 44
Author(s):  
Robert Jackson ◽  
Yang Xu ◽  
Swarna Saha ◽  
Kyle Schulze
Keyword(s):  
Rough Surface ◽  
Root Mean Square ◽  
Contact Area ◽  
Multiple Scales ◽  
Real Contact Area ◽  
Mean Square ◽  
The Real ◽  
Real Contact ◽  
Surface Contact ◽  
Rough Surface Contact

This study investigates the predictions of the real contact area for perfectly elastic rough surfaces using a boundary element method (BEM). Sample surface measurements were used in the BEM to predict the real contact area as a function of load. The surfaces were normalized by the root-mean-square (RMS) slope to evaluate if contact area measurements would collapse onto one master curve. If so, this would confirm that the contact areas of manufactured, real measured surfaces are directly proportional to the root mean square slope and the applied load, which is predicted by fractal diffusion-based rough surface contact theory. The data predicts a complex response that deviates from this behavior. The variation in the RMS slope and the spectrum of the system related to the features in contact are further evaluated to illuminate why this property is seen in some types of surfaces and not others.

Numerical Contact Model of a Smooth Ball on an Anisotropic Rough Surface

1994 ◽  
Vol 116 (2) ◽  
pp. 194-201 ◽  
Author(s):  
C. Y. Poon ◽  
R. S. Sayles
Keyword(s):  
Rough Surface ◽  
Contact Pressure ◽  
Smooth Surface ◽  
Contact Model ◽  
The Real ◽  
Numerical Result ◽  
Realistic Situation ◽  
Surface Contact ◽  
Rough Surface Contact ◽  
Sinusoidal Surface

A numerical elastic-plastic contact model of a smooth ball on a directionally structured anisotropic rough surface is presented. The contact model is tested on three types of surface contact of a smooth ball on (i) a smooth surface, (ii) a sinusoidal surface, and (iii) a real rough surface. The validity of the model is proven by good agreement of the numerical result for the smooth surface with the Hertz analytical result. The contact of the sinusoidal surface shows that by the introduction of surface undulation in a regular pattern, the real pressure distribution follows the expected behavior where the contact pressure at the peak is maximum and the contact pressure at the valley is zero and the peak pressure decreases away from the ball center. The contact of the real rough surface shows the ability of the model to cope with the more practically realistic situation where the asperity heights are distributed randomly. The results of the rough surface contact analysis for different surface roughness are presented in a separate paper.

An Improved Elastic Contact Model Accounting for Asperity Interaction and Bulk Substrate Deformation

2009 ◽  
Author(s):  
Jungkyu Lee ◽  
Chang-Dong Yeo ◽  
Andreas A. Polycarpou
Keyword(s):  
Rough Surface ◽  
Contact Stiffness ◽  
Elastic Half Space ◽  
Contact Model ◽  
Asperity Contact ◽  
Single Asperity ◽  
Surface Contact ◽  
In Series ◽  
Bulk Substrate ◽  
Rough Surface Contact

An improved rough surface contact model is proposed accounting for bulk substrate deformation and asperity interaction. The asperity contact stiffness is based on Hertzian solution for spherical contact, and the bulk substrate stiffness on the solution of Hertzian pressure on a circular region of the elastic half-space. The contact behavior of a single asperity composed of hemi-spherical asperity deformation as well as bulk substrate deformation is calculated by introducing the concept of spring-in-series. Based on the single asperity model, the contact stiffness for the rough surface is calculated including the effect of asperity interaction. Analytical simulation results using the proposed rough surface contact model were compared with the CEB model and experimental measurements.

A new elliptical microcontact model considering elastoplastic deformation

2018 ◽  
Vol 232 (11) ◽  
pp. 1352-1364 ◽  
Author(s):  
Yuqin Wen ◽  
Jinyuan Tang ◽  
Wei Zhou ◽  
Caichao Zhu
Keyword(s):  
Rough Surface ◽  
Contact Pressure ◽  
Elastoplastic Deformation ◽  
Height Distribution ◽  
New Model ◽  
Surface Contact ◽  
Calculation Results ◽  
The Mean ◽  
Rough Surface Contact ◽  
Change Curve

A new elliptical microcontact model considering elastoplastic deformation is proposed to overcome the shortcomings of the existing elastoplastic microcontact model. A new low-order interpolation function is used to describe the relationship between the normal deformation of asperity and the mean contact pressure in the elastoplastic deformation stage, and a smooth, continuous, monotonic change curve of the mean contact pressure is obtained. Then, the contact of rough surfaces is studied based on the new elastoplastic elliptical microcontact model and the height distribution of asperity. The calculated results are compared with those obtained from the existing rough surface contact models and the comparisons show that: (1) the change curve for the average contact pressure in the new model is smooth, continuous, and monotonic; (2) the calculation results of the new model are consistent with the numerical results based on the finite element method; (3) the new model is helpful to study the rough surface contact analysis of the elliptical micro-convex body.

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