析出粒子密度の新簡易測定方法と5056合金の異常粗粒化現象の考察への適用 アルミニウム合金の2次再結晶(第3報)

佐藤 益弘; 中谷 義三; 清水 恭治

doi:10.2464/jilm.20.63

Method for estimation of particle density and its application to explanation of abnormal grain growth in 5056 alloy plates

Secondary recrystallization of aluminum alloys (3rd report)

Masuhiro SATO, Yoshizo NAKATANI, Kyoji SHIMIZU

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JOURNAL FREE ACCESS

1970 Volume 20 Issue 2 Pages 63-68

DOI https://doi.org/10.2464/jilm.20.63

[Correction] Journal of Japan Institute of Light Metals Vol.20 No.4 (1970) pp.iv-iv

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Published: February 28, 1970 Received: November 12, 1969 Available on J-STAGE: July 23, 2008 Accepted: - Advance online publication: - Revised: -
Correction information
Date of correction: July 23, 2008 Reason for correction: - Correction: TITLE Details: Wrong : Method for estimation of particle density and its application to explanation of abnormal grain growth in 5056 alloy plates.
Right : Method for estimation of particle density and its application to explanation of abnormal grain growth in 5056 alloy plates

Date of correction: July 23, 2008 Reason for correction: - Correction: ABSTRACT Details: Wrong : Statistical examinations were made on the distribution of metallographical particles dispersed at random.
As the results, a convenient method for the estimation of the particle density was proposed on the basis of Poisson's distribution function.
The relative frequency distribution of the particle separation was approximately derived from the function, as the following formula :
PU=√2α(U2•e1-u2)α/U2D2/αU2D2
where PU: relative frequency of U
α: constant, depending on experimental conditions
D: Average particle separation
Di: Individual particle separation
U: Relative particle separation ( = Di/D)
The above formula shows the broadening tendency of the distribution of particle separation with decreasing of the particle density. Therefore, the tendency of frequency distribution would promote the abnormal grain growth.
All the discussions mentioned above were confirmed by the experiments on 5056 alloy plates.
Right : Statistical examinations were made on the distribution of metallographical particles dispersed at random.
As the results, a convenient method for the estimation of the particle density was proposed on the basis of Poisson's distribution function.
The relative frequency distribution of the particle separation was approximately derived from the function, as the following formula :
P_U=√2α(U²•e^1-u2)α/U²D²/U²D²/π
where P_U: relative frequency of U
α: constant, depending on experimental conditions
D: Average particle separation
D_i: Individual particle separation
U: Relative particle separation ( = D_i/D)
The above formula shows the broadening tendency of the distribution of particle separation with decreasing of the particle density. Therefore, the tendency of frequency distribution would promote the abnormal grain growth.
All the discussions mentioned above were confirmed by the experiments on 5056 alloy plates.

Date of correction: July 23, 2008 Reason for correction: - Correction: AFFILIATION Details: Wrong :
1) Faculty of Engineering, Univ.of Osaka Pref

Right :
1) Faculty of Engineering, Univ.of Osaka Pref.

Date of correction: July 23, 2008 Reason for correction: - Correction: PDF FILE Details: -

Abstract

Statistical examinations were made on the distribution of metallographical particles dispersed at random.
As the results, a convenient method for the estimation of the particle density was proposed on the basis of Poisson's distribution function.
The relative frequency distribution of the particle separation was approximately derived from the function, as the following formula :
P_U=√2α(U²•e^1-u2)α/U²D²/U²D²/π
where P_U: relative frequency of U
α: constant, depending on experimental conditions
D: Average particle separation
D_i: Individual particle separation
U: Relative particle separation ( = D_i/D)
The above formula shows the broadening tendency of the distribution of particle separation with decreasing of the particle density. Therefore, the tendency of frequency distribution would promote the abnormal grain growth.
All the discussions mentioned above were confirmed by the experiments on 5056 alloy plates.

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