The Log-Normal Distribution of the Diameter of Wool Fibers in Top Slivers as Studied by R. Henon and J. Ott

1960 ◽  
Vol 30 (8) ◽  
pp. 556-567 ◽  
Author(s):  
Franz Monfort
Keyword(s):  
Normal Distribution ◽  
Wool Fibers ◽  
Log Normal ◽  
Log Normal Distribution

Characterization and analysis of the tensile and acoustic emission parameter distributions of single wool fibers

2020 ◽  
Vol 90 (21-22) ◽  
pp. 2454-2466
Author(s):  
Di Lu ◽  
Weidong Yu
Keyword(s):  
Acoustic Emission ◽  
Normal Distribution ◽  
Cumulative Distribution ◽  
Specific Work ◽  
Distribution Models ◽  
Chi Square ◽  
Wool Fibers ◽  
Emission Parameter ◽  
Log Normal ◽  
Log Normal Distribution

Acoustic emission (AE) parameters of damaged material have discrete characteristics that are universally known. Such characteristics restrict wider use of AE analysis in materials such as textiles. In the present work, the best-fitted distribution models of AE signal energy are analyzed: amplitude, duration, tensile breaking strength, elongation, and specific work of wool fibers. The parameters of Weibull, normal, and log-normal distribution models are obtained by regression analysis. The chi-square, Kolmogorov–Smirnov, and maximum likelihood criterions are used to discriminate against the above models. The results show that the Weibull distribution is the best-fitted model for amplitude and elongation of wool. The best-fitted model for energy, strength, and specific work is the log-normal distribution. The differences between the cumulative distributions of the AE and tensile parameters are compared. It can be seen that strength also has a high correlation coefficient and a similarly cumulative distribution with energy and amplitude. Compared to amplitude, the relationship between energy and strength is supposed to be stronger.

scholarly journals A Universal Model for the Log-Normal Distribution of Elasticity in Polymeric Gels and Its Relevance to Mechanical Signature of Biological Tissues

Biology ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 64
Author(s):  
Arnaud Millet
Keyword(s):  
Elastic Modulus ◽  
Normal Distribution ◽  
Biological Tissues ◽  
Force Microscopy ◽  
Polymeric Gels ◽  
Atomic Force ◽  
Clear Explanation ◽  
Log Normal ◽  
Log Normal Distribution

The mechanosensitivity of cells has recently been identified as a process that could greatly influence a cell’s fate. To understand the interaction between cells and their surrounding extracellular matrix, the characterization of the mechanical properties of natural polymeric gels is needed. Atomic force microscopy (AFM) is one of the leading tools used to characterize mechanically biological tissues. It appears that the elasticity (elastic modulus) values obtained by AFM presents a log-normal distribution. Despite its ubiquity, the log-normal distribution concerning the elastic modulus of biological tissues does not have a clear explanation. In this paper, we propose a physical mechanism based on the weak universality of critical exponents in the percolation process leading to gelation. Following this, we discuss the relevance of this model for mechanical signatures of biological tissues.

The Log Normal Distribution 1

2020 ◽  
pp. 150-188
Author(s):  
Richard Holland ◽  
Richard St. John
Keyword(s):  
Normal Distribution ◽  
Log Normal ◽  
Log Normal Distribution
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