Determine the ASTM grain size number if 90 grains per square inch are measured at a magnification of 55×.  In this problem, you are asked to find the ASTM grain size number given the number of grains per square inch and the magnification. Solve Equation 4.18 (below) for G.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Determine the ASTM grain size number if 90 grains per square inch are measured at a magnification of 55×. 

In this problem, you are asked to find the ASTM grain size number given the number of grains per square inch and the magnification.

Solve Equation 4.18 (below) for G

M
2G-1
100
Transcribed Image Text:M 2G-1 100
Expert Solution
Step 1

The link between microstructure and material properties (also known as structure-property correlation) is widely understood. The well-known Hall-Petch equation for single-phase polycrystalline materials is s=so+Kd-1/2, where s is the flow stress, d is the grain size, and so and K are constants. Microstructural studies are often done on 2-dimensional sections (or planes of polish) that cut through a material's 3-dimensional structure.

Many approaches have been devised to extract 3-dimensional structural characteristics from measurements taken on the polish plane. Stereology is the field that encompasses these techniques.

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