2012
DOI: 10.1016/j.apsusc.2012.03.050
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Fractal analysis of engineering ceramics ground surface

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Cited by 55 publications
(23 citation statements)
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“…In order to carry out the thermal analysis by finite elements of the heat sink with fins in forms of a Cesaro curve, initially, the growth procedure of the Cesaro curve is performed, as shown in Figure 1. The mathematical analysis of the Cesaro curve is obtained from the Equation 1, which requires knowing the initial length of the main branch (Lo) and the generation to be obtained (n), from it you can get the length (L) of each of the sub-branches that are obtained in each iteration [33].…”
Section: Methodsmentioning
confidence: 99%
“…In order to carry out the thermal analysis by finite elements of the heat sink with fins in forms of a Cesaro curve, initially, the growth procedure of the Cesaro curve is performed, as shown in Figure 1. The mathematical analysis of the Cesaro curve is obtained from the Equation 1, which requires knowing the initial length of the main branch (Lo) and the generation to be obtained (n), from it you can get the length (L) of each of the sub-branches that are obtained in each iteration [33].…”
Section: Methodsmentioning
confidence: 99%
“…It was found that the high-frequency information of machined surfaces is uncorrelated with the machining process, which can reflect the anisotropic features of material structure. Liang et al [21] improved the variation method by modifying the error and succeeded in evaluating the engineering ceramics ground surface. Further, the relationship between fractal dimension and traditional roughness parameters, surface texture, surface function and material property were analyzed using the adapted method.…”
Section: Introductionmentioning
confidence: 99%
“…This description has gained general consent in modelling of machining surfaces. The characteristics of surface errors on waveguide's inner wall fit well with a fractal function (Liang et al, 2012;Mandelbrot, 1982). The function can be written as:…”
Section: Modelling Of the Surface Errorsmentioning
confidence: 99%