Multifractal description of fracture morphology: investigation of the fractures of sintered carbides

Stach, Sebastian; Roskosz, S.; Cybo, Jerzy; Cwajna, Jan

doi:10.1016/j.matchar.2003.10.003

Cited by 20 publications

(18 citation statements)

References 3 publications

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“…Jan Cwajna is exploring the topic of theoretical stereology, non-homogeneity quantification, and quantitative fractography (Cwajna, 1994, Cwajna, 2005, Cwajna et al, 1997, Stach et al, 2005a. Image analysis algorithms are the specialty of Janusz Szala, who developed software called Met-Ilo for image processing and analysis (Szala, 2003a;.…”

Section: Scientific Stereological Groups In Polandmentioning

confidence: 99%

Polish Stereology – A Historical Review

Gądek-Moszczak

Matusiewicz

2017

Image Anal Stereol

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In the paper, the authors present the history of stereology development in Poland from the 1930s until now. The authors concentrate on the talented scholars whose hard work, dedication, and enthusiasm contributed to popularizing stereological methods of quantitative assessment. From Hugo Steinhaus to now, the evolution and increase in popularity of stereology is briefly shown. The most significant achievements are described in more detail.

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Section: Scientific Stereological Groups In Polandmentioning

confidence: 99%

Polish Stereology – A Historical Review

Gądek-Moszczak

Matusiewicz

2017

Image Anal Stereol

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“…It seems that such experimentally determined dependences with a significant linear theoretical fit imply a fractal (or self-similar) character of measured surfaces. Also, several authors note the multifractality of the surface [24,25]. It is contentious whether the dependences presented in [24] express "multifractality" or non-fractality of surface.…”

Section: Determination Of the Specific Surface Area (Ssa)mentioning

confidence: 99%

Molecularly-Limited Fractal Surface Area of Mineral Powders

et al. 2016

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Abstract:The topic of the specific surface area (SSA) of powders is not sufficiently described in the literature in spite of its nontrivial contribution to adsorption and dissolution processes. Fractal geometry provides a way to determine this parameter via relation SSA~x (D´3) s (2´D) , where x (m) is the particle size and s (m) is a scale. Such a relation respects nano-, micro-, or macro-topography on the surface. Within this theory, the fractal dimension 2 ď D < 3 and scale parameter s plays a significant role. The parameter D may be determined from BET or dissolution measurements on several samples, changing the powder particle sizes or sizes of adsorbate molecules. If the fractality of the surface is high, the SSA does not depend on the particle size distribution and vice versa. In this paper, the SSA parameter is analyzed from the point of view of adsorption and dissolution processes. In the case of adsorption, a new equation for the SSA, depending on the term (2´D)¨(s 2´sBET )/s BET , is derived, where s BET and s 2 are effective cross-sectional diameters for BET and new adsorbates. Determination of the SSA for the dissolution process appears to be very complicated, since the fractality of the surface may change in the process. Nevertheless, the presented equations have good application potential.

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“…Because of the rapid development of 3D methods [26][27][28][29][30][31][32][33][34][35][36] and an increase in the number of experimentally determinable roughness parameters, a standard regulating their number and systematizing them [37] has been developed. In this standard, 3D parameters are denoted with the capital letters S and V in order to distinguish them from 2D parameters (usually denoted with the letter R).…”

Section: Literature Surveymentioning

confidence: 99%