3D parameter to quantify the anisotropy measurement of periodic structures on rough surfaces

Abstract

In this paper, a new 3D roughness parameter, Sreg, is proposed to quantify the regularity of a surface, independent of the amplitude and the scanning length units of the surface. The efficiency of this parameter is tested on noisy periodical surfaces with degrees of anisotropy. This parameter lies between zero (perfect noise) and 100% (a perfect periodic surface). This parameter enables the identification of the anisotropy directions of regularity for a given surface. For a periodical surface, the greater the noise, the lower the anisotropy. A direction function is proposed to analyse the direction of regularity of a rough surface, which then permits characterization of the directional regularity of the topography. The regularity parameter can be used for several purposes: to identify the direction of periodical structures formed by laser-pulsed radiations on the surface of solid workpieces; to examine the reproducibility of surface machining methods such as finishing process; and to identify the surface regularity produced by abrasive machining, such as precision surface grain, abrasive slotting, and lapping.

Quantification of the Morphological Signature of Roping Based on Multiscale Analysis and Autocorrelation Function Description

“…Fourier analysis tends to be inadequate for the description of the regularity or order of a surface. This is why Guillemot et al [ 27 ] created a non-standardized ‘regularity’ parameter. This parameter is based on a normalized autocorrelation function expressed in polar coordinates ( R , θ ): where λ is the inverse lag length, L is the autocorrelation length and k max the maximum value of index k in any θ direction.…”

An Exploratory Study on the Accuracy of Parts Printed in FDM Processes from Novel Materials

“…In practice, most surface roughness tests are still based on profile measurements and 2D parameters, which have been well recognized. As discussed by Guillemot et al (2014), 2D parameters are an important indicators of product and process quality, but insufficient, for example, for complex surface texture or its anisotropy. Meanwhile, in the case of FDM method, the surfaces exhibit a clear anisotropic, nonuniform texture; therefore, the way of measurement should be chosen to fully characterize and describe them (Triantaphyllou et al, 2015).…”

“…Modern surface metrology is increasingly referring to spatial measurements (Guillemot et al, 2014;Mathiaa et al, 2011;Singh and Vatsalya, 2015) and topographic characteristics as surface descriptors, which represent the state of the entire surface, not just its cross-section.…”

Characterization of the anisotropy of rough surfaces: Crossing statistics

“…18,19 Recently, Guillemot et al have introduced a regularity parameter to quantify the degree of anisotropy of periodic structures on rough surfaces. 20 Several methods are based on field renormalization 19,21,22 and a well-known approach is the heightheight correlation function measurement followed by the analysis of directional dependency of the roughness exponents. 18,22 Even though previous research provides appropriate tools to find the direction of anisotropy, in very few of them the possibility of shedding lights on the nature of the anisotropy is provided.…”