2009
DOI: 10.4028/www.scientific.net/kem.409.394
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Quantitative Description of Overlaps on Sialon Ceramics Fractures by the Multifractal Method

Abstract: A quantitative description of overlaps on fractures in sialon ceramics, is presented in the paper. A conventional analysis, aiming at the determination of the percentage share of overlaps on the basis of quantitative fractography, was preceded by stereometric/fractal analyses. They enabled the selection of representative sections of samples and then, the production of transverse microsections in those places for an analysis of the fractures’ profiles using the light microscopy method and fractographic image an… Show more

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Cited by 4 publications
(7 citation statements)
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References 9 publications
(12 reference statements)
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“…However, in the multifractal analysis based on boxes, it is important what part of the set is located in the box (detailed explanations are provided in the section on multifractal analysis). The result is a whole spectrum of fractal dimensions .…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…However, in the multifractal analysis based on boxes, it is important what part of the set is located in the box (detailed explanations are provided in the section on multifractal analysis). The result is a whole spectrum of fractal dimensions .…”
Section: Resultsmentioning
confidence: 99%
“…Using the computer algorithms characterized in papers , multifractal analysis was applied by means of the quasi‐3D and 3D methods with reference to the stereometric files of the CL surfaces. The measurements of the surface were made with the highest possible accuracy to meet the criterion of a limit within which the “box” size in the box‐counting method approaches zero.…”
Section: Introductionmentioning
confidence: 99%
“…The occurrence of secondary cracks and overlaps was only sporadically observed. More details of material, testing, pictures of fracture surfaces and definition of overlaps are presented in [8].…”
Section: Characterization Of the Research Materialsmentioning
confidence: 99%
“…Multifractal analysis has clearly an advantage compared with standard statistical approaches because its parameters are independent over a range of scales as well as that no assumption is required about the data following any specific distribution. Also, it gives information about both local and global properties of the analyzed datasets [22].…”
Section: Multifractal Analysis Of the 3-d Surface Texturementioning
confidence: 99%
“…The multifractal spectrum can be calculated explicitly through several methods [22][23][24][25][26].…”
Section: Multifractal Analysis Of the 3-d Surface Texturementioning
confidence: 99%