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THE GRAIN SIZE DISTRIBUTION IN METALS AND ITS INFLUENCE ON ULTRASONIC ATTENUATION MEASUREMENTS

机译：金属中的晶粒尺寸分布及其对超声波衰减测量的影响

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A transformation has been derived relating the number of spheres of a certain radius r per unit volume (the "volume distribution of spheres") to the number of circles smaller than a certain radius r per unit area (the "area distribution of circles") appearing on a plane cutting through the volume. The transformation was applied to several hypothetical grain size distributions for polycrystalline metals to find the resulting hypothetical area distribution of grain images on photomicrographs. Comparison of the hypothetical area distributions to experimentally found area distributions gave the following conditions that the true volume distribution of grains must meet:n1. it must be finite at ft R=0, andn2. it must have a non-zero decreasing tail for large values of R.

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