Some aspects of surface roughness measurement

Nayak, Priyambada

doi:10.1016/0043-1648(73)90132-4

Cited by 130 publications

(55 citation statements)

References 6 publications

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“…This fact suggests that the geometry of such surfaces can be described statistically assuming they are described by a limited number of variables. On the basis of probability theory Whitehouse and Archard [14], Nayak [15,16], Bush, Gibson and Thomas [17] and Bush, Gibson and Keogh [18,19], Sayles and Thomas [20], Whitehouse and Phillips [21][22][23] have made an important advancement in developing the asperity based-model. [24] that the volume of deformed asperities is conserved stimulated Chang, Etsion and Bogy [25] (CEB model) to adopt it in their elasto-plastic model of deformed spheres.…”

Section: Introductionmentioning

confidence: 98%

“…The statistical theory of Longuet-Higgins [27,28] in its general form provides a complete description of random anisotropic surfaces. Nayak [16] considered the application of the LonguetHiggins [27,28] theory to anisotropic engineering surfaces and demonstrated how the spectrum moments up to order 4 can be obtained by knowing seven profile parameters (invariants) of the surface. These parameters, which are determinants of correlation matrices used in the multidimensional normal distribution theory are termed invariants of the surface and are independent of the orientation of the coordinate axes.…”

Section: Introductionmentioning

confidence: 99%

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Statistical Models of Rough Surfaces for Finite Element 3D-Contact Analysis

Buczkowski

Kleiber

2009

Arch Computat Methods Eng

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The present study is divided in two parts. In the first one the complete elasto-plastic microcontact model of anisotropic rough surfaces is given. Rough surfaces are modelled as a random process in which the height of the surface is considered to be a two-dimensional random variable. It is assumed that the surface is statistically homogeneous. The description of anisotropic random surfaces is concentrated on strongly rough surfaces; for such surfaces the summits are represented by highly eccentric elliptic paraboloids. The model is based on the volume conservation of asperities with the plasticity index modified to suit more general geometric contact shapes during plastic deformation process. This model is utilized to determine the total contact area, contact load and contact stiffness which are a combination of the elastic, elasto-plastic and plastic components. The elastic and elasto-plastic stiffness coefficients decrease with increasing variance of the surface height about the mean plane. The standard deviation of slopes and standard deviation of curvatures have no observable effects on the normal contact stiffness. The part two deals with the solution of the fully three-dimensional contact/friction problem taking into account contact stiffnesses in the normal and tangential directions. An incremental non-associated hardening friction law model analogous to the classical theory of plasticity is used. Two numerical examples are selected to show applicability of the method proposed.

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Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Statistical Models of Rough Surfaces for Finite Element 3D-Contact Analysis

Buczkowski

Kleiber

2009

Arch Computat Methods Eng

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“…The approach can be applied directly only to liquids only because the surface effects of solids and their nano-scale features differ from properties of liquids. Nayak (1971Nayak ( , 1973 presented a careful statistical analysis of random surfaces of solids. He compared statistics extracted from a surface and those of a profile.…”

Section: Modelling Of Surfaces As Random Processesmentioning

confidence: 99%

“…This is because the classic statistical approaches (Linnik andKhusu 1954, LonguetHiggins (1957a,b), Whitehouse and Archard (1970), Nayak (1971Nayak ( , 1973, Khusu at al. 1975) assume normality of the height distribution of the rough surfaces.…”

Section: Introductionmentioning

confidence: 99%

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Statistical approaches to description of rough engineering surfaces at nano and microscales

Borodich

Pepelyshev

Savencu

2016

Tribology International

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Statistical models of rough surfaces are widely used in tribology. These models include models based on assumption of normality of the asperity heights or similar assumptions that involve Gaussian distributions, models based solely on properties of the power spectral density of the surface heights along with models based on assumption of fractal character of roughness. It is argued that models describing surface roughness solely by its fractal dimension or its autocorrelation function (or its power spectral density) do not reflect tribological properties of surfaces. Then typical experimental data obtained for rough engineering surfaces prepared by grinding have been studied at nano and microscales. The heights of the micro-asperities were determined by a profilometre (stylus), while the data for nano/atomic scale was obtained by AFM (Atomic Force Microscopy). The assumption of the normal distribution for the roughness heights has been studied by application of various modern tests of normality. It was found that the height distribution of the surfaces under investigation were not Gaussian at both nano and microscales. Hence, the statistical models of rough surfaces under consideration cannot be used for description of the surfaces and there is a need in critical re-examination of the current statistical approaches.

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Statistical model of strongly anisotropic rough surfaces for finite element contact analysis

Buczkowski

Kleiber

2000

Int. J. Numer. Meth. Engng.

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Some aspects of surface roughness measurement

Cited by 130 publications

References 6 publications

Statistical Models of Rough Surfaces for Finite Element 3D-Contact Analysis

Statistical Models of Rough Surfaces for Finite Element 3D-Contact Analysis

Statistical approaches to description of rough engineering surfaces at nano and microscales

Statistical model of strongly anisotropic rough surfaces for finite element contact analysis

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