The impact of non-Gaussian height distributions on the statistics of isotropic random rough surfaces

Sabino, T. Silva; Carneiro, A.M. Couto; Carvalho, R. Pinto; Pires, F.M. Andrade

doi:10.1016/j.triboint.2022.107578

Cited by 14 publications

(6 citation statements)

References 48 publications

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“…When assessing the overall roughness level, surface height distribution symmetry is a crucial aspect related to surface characteristics. As a result, it has the potential to measure the consistency of surface texture [ 16 , 23 – 25 ]. Probability density and distribution curves are determined upon the nature of the processing method [ 15 ].…”

Section: Discussionmentioning

confidence: 99%

“…The Gaussian distribution has become a fundamental tool for classifying surface properties [ 15 ]. Surface parameters, such as skewness and kurtosis of the height distribution, are frequently used to characterize Gaussian topographies [ 16 , 17 ]. Various authors have described the potential occurrence of identical Ra value for surfaces with different shapes and frequencies [ 15 , 17 ].…”

Section: Introductionmentioning

confidence: 99%

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Influence of different processing techniques for prosthetic acrylic resins in the surface roughness parameters: a research article

Quezada,

Fernandes,

Martín

et al. 2024

BMC Oral Health

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Background Different processing techniques are employed to obtain poly (methyl methacrylate) (PMMA) with consistent surface quality in terms of topography and tribological function. The purpose of this research is to evaluate its influence on the surface height distribution. Methods In this research, samples of conventional and CAD/CAM acrylic resins were prepared. The following surface roughness parameters were extracted from the profilometric readings: arithmetic mean roughness (Pa), skewness (Psk) and kurtosis (Pku). Profilometric profiles were additionally obtained. Results The average roughness (Pa) with the conventional technique was significantly higher compared to CAD/CAM (t = 4.595; P < 0.001). Heat-cured resins presented the highest mean Pa (F = 6.975; P = 0.06). Heat-cured and milled resins show lower coefficient variation (CV) values, indicating more consistent surface finishing. The surface profiles revealed distinct characteristics in terms of skewness and kurtosis. Conclusions The surface processing method, chemical composition and resin type significantly influence the surface finishing of the resin. The CAD/CAM resins exhibited superior results in terms of surface arithmetic mean roughness (Pa). However, heat-cured resin revealed to present the better surface consistency.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Influence of different processing techniques for prosthetic acrylic resins in the surface roughness parameters: a research article

Quezada,

Fernandes,

Martín

et al. 2024

BMC Oral Health

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show abstract

“…Moreover, it is important to note that, in contrast withnormal, Rayleigh and gamma distributions, the Weibull distribution can generate surfaces with both negative and positive skewness by simply varying the shape parameter. It is also important to note that the variation of kurtosis is not monotonic, allowing for more complex combinations to be achieved [63,64]. However, it is still not possible to alter the skewness and kurtosis independently.…”

Section: Evaluation Of Rsk and Rku Prediction Based On Different Prob...mentioning

confidence: 99%

Evaluation of the Feasibility of the Prediction of the Surface Morphologiesof AWJ-Milled Pockets by Statistical Methods Based on Multiple Roughness Indicators

Karkalos,

Thangaraj,

Karmiris-Obratański

2024

Surfaces

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Improvement of the surface quality of machined parts is essential in order to avoid excessive and costly post-processing. Although non-conventional processes can efficiently carry out the machining of difficult-to-cut materials with high productivity, they may also, for various reasons, be related to increased surface roughness. In order to optimize the surface quality of generated surfaces in a reliable way, surface profiles obtained during these processes must be adequately modeled. However, given that most studies have focused on Ra or Rz indicators or are based on the assumption of a normal distribution for the profile heights, relevant models cannot accurately represent the surface characteristics that exist in a real machined surface with a high degree of accuracy. Thus, in the present study, a new modeling approach based on the use of a statistical probability distribution for the surface profile height is proposed. After six different distributions were evaluated on the basis of a three-stage procedure involving different roughness indicators pertaining to the abrasive waterjet (AWJ) milling of pockets, it was found that, although it is not possible to model the nominal values of every roughness parameter simultaneously, in several cases, it is possible to approximate the values of critical indicators such as Ra, Rz, Rsk, Rku and Rp/Rv ratio by Weibull distribution with a sufficient degree of accuracy.

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“…Sabino analyzed the effect of non-Gaussianity on the statistical geometry of an isotropic self-affine rough surface [51] by comparing the summits height distribution, expected mean curvature and summits density of the rough surface under Weibull probability distribution with Nayak's Gaussian case theory. Regrettably, only the influencing factors and the corresponding trends are reported, and no quantitative analytical expressions are presented for the calculation of asperity-based statistical model [50] .…”

Section: Recent Research Progressmentioning

confidence: 99%

Literature review on engineering surface modeling

Maa¹,

Lib²

2023

MethodsX

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The impact of non-Gaussian height distributions on the statistics of isotropic random rough surfaces

Cited by 14 publications

References 48 publications

Influence of different processing techniques for prosthetic acrylic resins in the surface roughness parameters: a research article

Influence of different processing techniques for prosthetic acrylic resins in the surface roughness parameters: a research article

Evaluation of the Feasibility of the Prediction of the Surface Morphologiesof AWJ-Milled Pockets by Statistical Methods Based on Multiple Roughness Indicators

Literature review on engineering surface modeling

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