An improved rough surface modeling method based on linear transformation technique

Liao, Dongri; Shao, Wen; Tang, Jinyuan; Li, Jianping

doi:10.1016/j.triboint.2017.12.008

Cited by 45 publications

(43 citation statements)

References 38 publications

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“…(4) The corresponding power spectral density is obtained by the Fourier transform of Equation (7). As the following Equation ( 8):…”

Section: Numerical Simulation Of Materials Surface and Contact Modelmentioning

confidence: 99%

“…Ghosh and Sadeghi [6] constructed a rough surface model with given roughness parameters and analyzed the relationship between roughness parameters and statistical distribution parameters. Liao et al [7] proposed an improved rough surface modeling method, which converted the solution of the autocorrelation coefficient matrix into the nonlinear least squares problem, and then constructed the rough surface satisfying the characteristics of different autocorrelation functions and statistical parameters. Mu et al [8] studied the modeling of rough surfaces with given roughness parameters and provided the modeling method of rough surfaces with specific height distribution.…”

Section: Introductionmentioning

confidence: 99%

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A High Precision Modeling Technology of Material Surface Microtopography and Its Influence on Interface Mechanical Properties

Wang

et al. 2021

Materials

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In order to accurately and effectively obtain the contact performance of the mating surface under the material surface topography characteristics, a numerical simulation method of rough surface based on the real topography characteristics and a multi-scale hierarchical algorithm of contact performance is studied in this paper. Firstly, the surface topography information of materials processed by different methods was obtained and characterized by a measuring equipment; Secondly, a non-Gaussian model considering kurtosis and skewness was established by Johnson transform based on Gaussian theory, and a rough surface digital simulation method based on real surface topography was formed; Thirdly, a multi-scale hierarchical algorithm is given to calculate the contact performance of different mating surfaces; Finally, taking the aeroengine rotor as the object, the non-Gaussian simulation method was used to simulate the mating surfaces with different topographies, and the multi-scale hierarchical algorithm was used to calculate the contact performance of different mating surfaces. Analysis results showed that the normal contact stiffness and elastic–plastic contact area between the mating surfaces of assembly 1 and assembly 2 are quite different, which further verifies the feasibility of the method. The contents of this paper allow to perform the fast and effective calculation of the mechanical properties of the mating surface, and provide a certain analysis basis for improving the surface microtopography characteristics of materials and the product performance.

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“…(4) The corresponding power spectral density is obtained by the Fourier transform of Equation (7). As the following Equation ( 8):…”

Section: Numerical Simulation Of Materials Surface and Contact Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A High Precision Modeling Technology of Material Surface Microtopography and Its Influence on Interface Mechanical Properties

Wang

et al. 2021

Materials

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“…Combined with the mechanical deformation model of the asperity, the fractal contact model of rough surfaces was proposed [15,16]. To avoid the uncertainty of parameter modeling, Patir et al [17] relied on the height distribution function and spatial autocorrelation function to perform numerical modeling of rough surface topography, and the relevant deterministic modeling methods have been constantly improved to effectively achieve the numerical reconstruction modeling of deterministic surfaces [18][19][20][21]. For the deterministic surface, to realize the contact calculation and analysis promptly and stably, the researchers simplified and reconstructed the asperities on the deterministic surface, and proposed the relevant rough surface contact calculation model by combining with the mechanical deformation model of the asperity [22,23].…”

Section: Introductionmentioning

confidence: 99%

New analytical model of elastic-plastic contact for three-dimensional rough surfaces considering interaction of asperities

et al. 2021

Self Cite

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The contact calculation of three-dimensional real rough surfaces is the frontier field of tribology and surface science. In this study, we consider the interaction and elastic-plastic deformation characteristics of asperities and further, propose an analytical contact calculation method for rough surfaces considering the interaction of asperities. Based on the watershed algorithm, the rough surface is segmented and the asperities are reconstructed into ellipsoids. According to the height relationship between the asperities, the definition of the deformation reference height of the matrix between each couple of asperities is provided. Subsequently, the calculation formula of the substrate deformation is provided according to the local contact pressure considering the elastic-plastic deformation of the asperity, and the contact state under a specific load is determined using the iterative correction method. The results correspond with those of finite element numerical calculation and the study reveals the following: (1) compared with the results obtained without considering the asperity interaction, contact area, distance, and stiffness will be reduced by 6.6%, 19.6%, and 49.5%, respectively, when the influence of asperity interaction is considered; (2) the interaction of the asperities has the greatest influence on the surface contact distance and stiffness. Under the same load, the existence of asperity interaction will reduce the contact distance, area, and stiffness; (3) considering the interaction of the asperities, the higher asperity will bear more load, but it will simultaneously reduce the contact of the surrounding area and increase that of the distant area. The calculation method proposed in this study has the advantages of high calculation efficiency and accuracy, thus, providing the calculation basis and method for subsequent studies on service performance of rough surfaces, such as the calculation of contact stiffness and fatigue performance analysis of rough surfaces.

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“…In the past few decades, many scholars have studied the modeling of rough surface contact. 1–8 Greenwood and Williamson 6 proposed a classic statistical contact model (the G-W model). The model assumes that the rough surface is composed of hemispherical asperities with the same curvature radius, whose height obeys the Gaussian distribution, and the deformations of asperities are independent of each other.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation experiments and regression modeling for asperity contact of ceramic surfaces

Tan

2021

SIMULATION

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Ceramic materials, with their excellent properties, have been widely used in the engineering field. With the ceramic surface as the research object, the properties of elastic contact of ceramic surfaces are studied using the numerical simulation calculation method. In this paper, uniform experimental design is carried out with topography parameters, external load, and material property parameters, which have a direct impact on the surface contact; a numerical calculation model is established and a series of simulation experiments is carried out on the contact of asperities on the ceramic surface, which not only intuitively shows the contact behavior of asperities on the ceramic surface, but also obtains the contact parameters of the surface. Then, the numerical simulation results are compared with those of G-W model, which proves the feasibility of the numerical simulation calculation and shows that the numerical simulation model established in this paper is more in line with the engineering practice than the G-W model. Through the regression analysis of the simulation results, the analytical calculation model between the surface contact parameters and the influencing factors is established, which provides references for quantitative analysis and characterization of contact properties related to the material surface.

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An improved rough surface modeling method based on linear transformation technique

Cited by 45 publications

References 38 publications

A High Precision Modeling Technology of Material Surface Microtopography and Its Influence on Interface Mechanical Properties

A High Precision Modeling Technology of Material Surface Microtopography and Its Influence on Interface Mechanical Properties

New analytical model of elastic-plastic contact for three-dimensional rough surfaces considering interaction of asperities

Numerical simulation experiments and regression modeling for asperity contact of ceramic surfaces

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