3D fractal-based characterisation for engineered surface topography

López, Jesús María Rincón; Hansali, G.; Zahouani, H.; Bosse, J.; Mathia, T.

doi:10.1016/0890-6955(94)p2375-p

Cited by 41 publications

(11 citation statements)

References 11 publications

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“…With the fractal approach it is possible to calculate the scale-independent parameters which describe the surface. The first one is a roughness parameter or roughness exponent: H, (0 < H ≤ 1) [3][4], the second is an intrinsic parameter called the fractal dimension: D, (1 < D < 2) and the surface fractal dimension D s , (2 < D s < 3) of the surface which represents the capacity of the surface to fill in the adjacent volume.…”

Section: Characterisation Of Rough Surfaces By Fractal Geometrymentioning

confidence: 99%

“…Fractal geometry as an intrinsic parameter of surface topography has been widely used in recent years [1][2][3][4][5]; this is due in part to the observations that fractal geometry can determinate the intrinsic proprieties of random phenomena and can be used in the analysis of surface topography and contact mechanics. Majunder and Bhushan [2][3][4] explored these applications using the theory developed by Mandelbrot [5] dealing with the cumulative distribution of islands on the earth's surface relief which follows the power law, N ≈ a −D/2 , where N is the total number of islands with area larger than, a, and, D, is the fractal dimension of its coast-line (0 < D < 1).…”

Section: Introductionmentioning

confidence: 99%

“…Majunder and Bhushan [2][3][4] explored these applications using the theory developed by Mandelbrot [5] dealing with the cumulative distribution of islands on the earth's surface relief which follows the power law, N ≈ a −D/2 , where N is the total number of islands with area larger than, a, and, D, is the fractal dimension of its coast-line (0 < D < 1).…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Effect of roughness scale on contact stiffness between solids

Zahouani

Mezghani

Pailler-Mattéi

et al. 2009

Wear

Self Cite

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Section: Characterisation Of Rough Surfaces By Fractal Geometrymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effect of roughness scale on contact stiffness between solids

Zahouani

Mezghani

Pailler-Mattéi

et al. 2009

Wear

Self Cite

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“…The self-affine fractals were used in a number of papers as a tool for description of rough surfaces (Majumdar and Tien, 1990;Majumdar and Bhushan, 1990;Lopez et al, 1995). Two standard examples of self-affine fractals are the trace of the fBm and the Weierstrass function.…”

Section: The Fractal Surfacementioning

confidence: 99%

Thermal creep model of rough fractal surfaces in contact: viscoelastic standard linear solid

Abuzeid

2012

Ind Lubrication and Tribology

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Purpose -The purpose of this paper is to construct a continuous time series model to study the thermal creep of rough surfaces in contact. Design/methodology/approach -For normal loading, the contact between rough surfaces can often be modeled as the contact of an effective surface with a rigid fiat surface. A solution for the deformation of such equivalent surface, generated using fractal geometry, can be modified. However, in this study only the case of a single rough surface in contact with a rigid flat surface is considered. In the interface, the material is assumed to follow the idealized constitutive viscoelastic standard linear solid (SLS) model. Fractal geometry, through Cantor set theory, is utilized to model the roughness of the surface. Findings -An asymptotic time series power law is obtained, which associates the creep load, the buck temperature and the creep of the fractal surface. Originality/value -This law is only valid as long as the creep is of the size of the surface roughness. The modified model admits an analytical solution for the case when the behavior is linear viscoelastic. The proposed model shows a good agreement when compared with experimental results available in the literature.

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“…fractal methods. In an earlier work, Lopez et al [13] studied the fractal characterization of the sandblasted surface and ground surface, and demonstrated that the fractal approach based upon the numerical determination of LH exponents is adapted. Zhang and Gopalakrishnan [14] developed a prototype system to perform surface roughness measurement using an area-based fractal method, and a functional calibration curve which relates the fractal dimension to the machined surface roughness is constructed.…”

Section: Introductionmentioning

confidence: 99%