scholarly journals Derivation of the Defect Size Distribution Function of the Monofilament in Case of the Coexistence of Several Types of Fracture Origins and an Application to Carbon Fibers

1990 ◽  
Vol 98 (1136) ◽  
pp. 389-395 ◽  
Author(s):  
Yohtaro MATSUO ◽  
Kouichi YASUDA ◽  
Shiushichi KIMURA
Keyword(s):  
Distribution Function ◽  
Size Distribution ◽  
Carbon Fibers ◽  
Size Distribution Function ◽  
Defect Size ◽  
Defect Size Distribution

Informational Measures of the Shape of the Amoroso Distributions for the Research of Dispersed Materials

2021 ◽  
Vol 1031 ◽  
pp. 58-66
Author(s):  
Vitaly Polosin
Keyword(s):  
Particle Size ◽  
Distribution Function ◽  
Particle Size Distribution ◽  
Size Distribution ◽  
Applied Research ◽  
Particle Distribution ◽  
Size Distribution Function ◽  
Distribution Model ◽  
Information Uncertainty ◽  
Particle Size Distribution Function

For the particle size distribution function various forms of exponential models are used to construct models of the properties of dispersed substance. The most difficult stage of applied research is to determine the shape of the particle distribution model. For the particle size distribution function various forms of exponential models are used to construct models of the properties of dispersed substance. The most difficult stage of applied research is to determine the shape of the particle distribution model. The article proposes a uniform model for setting the interval of information uncertainty of non-symmetric particle size distributions. Based on the analysis of statistical and information uncertainty intervals, new shape coefficients of distribution models are constructed, these are the entropy coefficients for shifted and non shifted distributions of the Amoroso family. Graphics of dependence of entropy coefficients of non-symmetrical distributions show that distributions well-known are distinguish at small of the shapes parameters. Also it is illustrated for parameters of the form more than 2 that it is preferable to use the entropy coefficients for the unshifted distributions.The material contains also information measures for the well-known logarithmic normal distribution which is a limiting case of distribution Amorozo.

Analysis of Nanopowders by Small-Angle X-Ray Scattering Method’s

2012 ◽  
Vol 7 (4) ◽  
pp. 107-116
Author(s):  
Sergey Bardakhanov ◽  
Ludmila Vikulina ◽  
Vladimir Lysenko ◽  
Andrey Nomoev ◽  
Sergey Poluyanov ◽  
...  
Keyword(s):  
Distribution Function ◽  
Size Distribution ◽  
Small Angle ◽  
Electron Accelerator ◽  
Size Distribution Function ◽  
X Ray ◽  
X Ray Scattering ◽  
Ray Scattering

The possibility of application of small-angle X-ray scattering (SAXS) for nanopowders analysis was studied. The research for eight silica powders (including four powders obtained by the authors with help of electron accelerator) was conducted. The possibility of application of small angle X-ray scattering for determination of size distribution function of nanoparticles was shown

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