Three-Dimensional Rough Surface Contact Model for Anisotropic Materials

2008 ◽  
Vol 130 (2) ◽  
Author(s):  
Ling He ◽  
Timothy C. Ovaert
Keyword(s):  
Rough Surface ◽  
Three Dimensional ◽  
Rigid Sphere ◽  
Reinforced Composites ◽  
Line Integral ◽  
Surface Contact ◽  
Gradient Technique ◽  
Anisotropic Elastic ◽  
Rough Surface Contact ◽  
Contact Parameters

By applying the line integral of Barnett–Lothe tensors on oblique planes, the three-dimensional rough surface contact problem for a semi-infinite anisotropic elastic half-plane in contact with a rough rigid sphere is formulated. The conjugate gradient technique of analytical continuation was employed to determine the contact parameters. The general solutions due to varying degrees of anisotropy and mechanical boundary conditions are obtained, and examples with fiber-reinforced composites are presented.

An FFT-Based Method for Rough Surface Contact

1997 ◽  
Vol 119 (3) ◽  
pp. 481-485 ◽  
Author(s):  
H. M. Stanley ◽  
T. Kato
Keyword(s):  
Rough Surface ◽  
Numerical Technique ◽  
Three Dimensional ◽  
Exact Result ◽  
Elastic Contact ◽  
Two Dimensional ◽  
Surface Contact ◽  
Rigid Plane ◽  
Rough Surface Contact ◽  
Contact Pressures

Elastic contact between a rigid plane and a halfspace whose surface height is described by a bandwidth-limited Fourier series is considered. The surface normal displacements and contact pressures are found by a numerical technique that exploits the structure of the Fast Fourier Transform (FFT) and an exact result in linear elasticity. The multiscale nature of rough surface contact is implicit to the method, and features such as contact agglomeration and asperity interaction—a source of difficulty for asperity-based models—evolve naturally. Both two-dimensional (2-D) and three-dimensional (3-D) contact are handled with equal ease. Finally, the implementation is simple, compact, and fast.

scholarly journals Discrete Greenwood–Williamson Modeling of Rough Surface Contact Accounting for Three-Dimensional Sinusoidal Asperities and Asperity Interaction

2019 ◽  
Vol 141 (12) ◽  
Author(s):  
S. Zhang ◽  
H. Song ◽  
S. Sandfeld ◽  
X. Liu ◽  
Y. G. Wei
Keyword(s):  
Analytical Solution ◽  
Rough Surface ◽  
Mechanical Response ◽  
Three Dimensional ◽  
Fem Simulation ◽  
Contact Problems ◽  
Discrete Version ◽  
Successful Model ◽  
Surface Contact ◽  
Rough Surface Contact

Abstract The Greenwood–Williamson (GW) model has been one of the commonly used contact models to study rough surface contact problems during the past decades. While this has been a successful model, it still has a number of restrictions: (i) surface asperities are spheres; (ii) the overall deformation must be assumed to be small enough, such that there is no interaction between asperities, i.e., they are independent of each other; and (iii) asperity deformation remains elastic. This renders the GW model unrealistic in many situations. In the present work, we resolve above restrictions in a discrete version of the GW model: instead of spherical asperities, we assumed that the surface consists of three-dimensional sinusoidal asperities which appear more similar to asperities on a rough surface. For single asperity mechanical response, we propose a Hertz-like analytical solution for purely elastic deformation and a semi-analytical solution based on finite element method (FEM) for elastic–plastic deformation. The asperity interaction is accounted for by discretely utilizing a modified Boussinesq solution without consideration of asperity merger. It is seen that the asperity interaction effect is more than just the delay of contact as shown in the statistical model, it also contributes to the loss of linearity between the contact force and the contact area. Our model also shows that: for elastic contact, using spherical asperities results in a larger average contact pressure than using sinusoids; when plasticity is taken into account, using a sphere to represent asperities results in a softer response as compared with using sinusoids. It is also confirmed that sinusoidal asperities are a much better description than spheres, by comparison with fully resolved FEM simulation results for computer-generated rough surfaces.

A Reconstruction and Contact Analysis Method of Three-Dimensional Rough Surface Based on Ellipsoidal Asperity

2020 ◽  
Vol 142 (4) ◽  
Author(s):  
Yuqin Wen ◽  
Jinyuan Tang ◽  
Wei Zhou ◽  
Lin Li
Keyword(s):  
Rough Surface ◽  
Rough Surfaces ◽  
Minimum Mean Square Error ◽  
Three Dimensional ◽  
Contact Fatigue ◽  
Contact Analysis ◽  
Analysis Method ◽  
Surface Asperity ◽  
Surface Contact ◽  
Rough Surface Contact

Abstract The 3D rough surface modeling and contact analysis is a difficult problem in the study of rough surface contact. In this paper, a new method for reconstruction and contact analysis of asperities on 3D rough surfaces is proposed based on real rough surfaces. Watershed algorithm is used to segment and determine the area of asperities on the rough surface. According to the principle of minimum mean square error, ellipsoid fitting is carried out on asperities. Based on the elastic-plastic contact model of a single ellipsoidal asperity, a stable and efficient method for 3D rough surface contact analysis and calculation is proposed. Compared with existing calculating methods, the present method has the following characteristics: (1) the constructed surface asperity is closer to the real asperity in contact, and the calculation of asperity parameters has better stability under different sampling intervals and (2) the contact pressure, contact area, and other contact parameters of the 3D rough surface are calculated with high accuracy and efficiency, and the calculation convergence is desirable. The reconstruction and contact analysis method of the 3D rough surface asperity proposed in this paper provides a more accurate reconstruction and calculation method for the study of contact fatigue life and wear failure of rough surfaces.

Statistical Analysis of a Rough-Surface Model

1978 ◽  
Vol 20 (6) ◽  
pp. 315-318 ◽  
Author(s):  
N. B. Demkin ◽  
I.I. Berkovich ◽  
M. S. Kourova
Keyword(s):  
Statistical Analysis ◽  
Rough Surface ◽  
Surface Model ◽  
Surface Layers ◽  
Equal Radius ◽  
Surface Contact ◽  
Rough Surface Contact ◽  
Contact Parameters

The ‘stereometrical’ characteristics of the rough surface layers of engineering components, which are necessary for the calculation of rough-surface contact parameters, are often identified with the ‘planimetrical’ ones obtained from single profiles. In this paper, a relationship is obtained between these characteristics. Asperities are modelled by segments of spheres of equal radius and arbitrary height.

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