scholarly journals Asymptotic Characteristic of Exact Distribution of Fracture Strength Based on Gamma Distribution as Initial Flaw Size Distribution

2009 ◽  
Vol 3 (2) ◽  
pp. 106-113 ◽  
Author(s):  
Chisato WAKABAYASHI ◽  
Kouichi YASUDA ◽  
Tadashi SHIOTA
Keyword(s):  
Size Distribution ◽  
Gamma Distribution ◽  
Fracture Strength ◽  
Exact Distribution ◽  
Flaw Size ◽  
Strength Based ◽  
Asymptotic Characteristic

THEORY OF NON-DESTRUCTIVE INSPECTION OF CERAMICS BASED ON FLAW-SIZE DISTRIBUTION

2008 ◽  
Vol 22 (09n11) ◽  
pp. 1489-1495
Author(s):  
YOHTARO MATSUO
Keyword(s):  
Stress State ◽  
Size Distribution ◽  
Flaw Size ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Surface Strengthening ◽  
One To One ◽  
Necessary And Sufficient ◽  
Non Destructive ◽  
Machining Damage

Two kinds of theory for non-destructive inspection of ceramics were reviewed, which were derived by the authors using flaw-size distribution. In the sufficient condition theory (Realistic NDI), we had discussed about the screening flaw-size and a screening region. In the necessary and sufficient condition theory (Ideal NDI), we found that the screening flaw-size should be changed depending on stress state and specimen configuration. It was proved that there is one-to-one correspondence between Ideal NDI and a proof test. Applications to machining damage problems and surface strengthening of ceramics were also presented.

scholarly journals On the Shape–Slope Relation of Drop Size Distributions in Convective Rain

2005 ◽  
Vol 44 (7) ◽  
pp. 1146-1151 ◽  
Author(s):  
Axel Seifert
Keyword(s):  
Size Distribution ◽  
Gamma Distribution ◽  
Drop Size ◽  
Empirical Relation ◽  
Size Distributions ◽  
Shape Parameters ◽  
Raindrop Size Distribution ◽  
Raindrop Size ◽  
Drop Size Distributions ◽  
Good Agreement

Abstract The relation between the slope and shape parameters of the raindrop size distribution parameterized by a gamma distribution is examined. The comparison of results of a simple rain shaft model with an empirical relation based on disdrometer measurements at the surface shows very good agreement, but a more detailed discussion reveals some difficulties—for example, deviations from the gamma shape and the overestimation of collisional breakup.

scholarly journals STUDY ON SUMMER RAINDROP SIZE DISTRIBUTION AND RETRIEVED POLARIMETRIC RADAR PARAMETER OVER LEIZHOU PENINSULA

2019 ◽  
Vol XLII-3/W9 ◽  
pp. 245-250
Author(s):  
Z. B. Zhou ◽  
J. J. Lv ◽  
S. J. Niu
Keyword(s):  
Size Distribution ◽  
Gamma Distribution ◽  
Least Squares Method ◽  
Convective Precipitation ◽  
Polarimetric Radar ◽  
Leizhou Peninsula ◽  
Raindrop Size Distribution ◽  
Precipitation Estimation ◽  
Raindrop Size ◽  
Subtropical Monsoon Climate

Abstract. Leizhou peninsula is located in the south of Guangdong Province, near South China Sea, and has a tropical and subtropical monsoon climate. Based on observed drop size distribution (DSD) data from July 2007 to August 2007 with PARSIVEL disdrometers deployed at Zhanjiang and Suixi, the characterists of DSDs are studied. Non-linear least squares method is used to fit Gamma distribution. Convective and stratiform averaged DSDs are in good agreement with Gamma distribution, especially in stratiform case. Convective average DSDs have a wider spectrum and higher peak. Microphysical parameter differences between convective and stratiform are discussed, convective precipitation has a higher mass-weighted mean diameter (Dm) and generalized intercepts (Nw) in both areas. The constrained relations between Gamma distribution parameter (μ, Λ, N0) is derived. The retrieved polarimetric radar parameter (KDP, ZDR, Zh) have a good self-consistency, which can be used to improve the accuracy of KDP calculation. R-KDP-ZDR is superior to the R-KDP, R-ZDR-Zh in quantitative precipitation estimation (QPE), with a correlation coefficient higher than 0.98.

STATIC AND FATIGUE STRENGTH AND THEIR RELATIONS TO FLAW SIZE DISTRIBUTION IN CERAMICS

1992 ◽  
pp. 697-702
Author(s):  
JUNICHI KITAZUMI ◽  
YOSHIFUMI TANIGUCHI ◽  
TOSHIHIKO HOSHIDE ◽  
TOSHIRO YAMADA
Keyword(s):  
Fatigue Strength ◽  
Size Distribution ◽  
Flaw Size

scholarly journals Availability of gamma distribution as initial distribution of flaw size

2009 ◽  
Vol 117 (1362) ◽  
pp. 162-165 ◽  
Author(s):  
Chisato WAKABAYASHI ◽  
Kouichi YASUDA ◽  
Tadashi SHIOTA
Keyword(s):  
Gamma Distribution ◽  
Initial Distribution ◽  
Flaw Size

Exact Distribution of the Quotient of Independent Generalized Gamma Variables

1967 ◽  
Vol 10 (3) ◽  
pp. 463-465 ◽  
Author(s):  
Henrick John Malik
Keyword(s):  
Gamma Distribution ◽  
Random Variable ◽  
Exact Distribution ◽  
Frequency Function ◽  
Generalized Gamma ◽  
Special Cases ◽  
Chi Squared ◽  
Image Position

Let X be a random variable whose frequency function is1.1Form (1.1) is Stacy′s [3] generalization of the gamma distribution. The familiar gamma, chi, chi-squared, exponential and Weibull variâtes are special cases, as are certain functions of normal variate - viz., its positive even powers, its modulus, and all positive powers of its modulus.

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