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Determination of Grain Size. Eng. Ibrahim Kuhail Eng. Ahmed Al- Afeefy. Objective. To become acquainted with photomicrography and make use of it in the determination of the grain size for a microsection. Introduction.
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Determination of Grain Size Eng. Ibrahim Kuhail Eng. Ahmed Al-Afeefy
Objective • To become acquainted with photomicrography and make use of it in the determination of the grain size for a microsection.
Introduction • Metals, except in a few instances, are crystalline in nature and, except for single crystals, they contain internal boundaries known as grain boundaries. When a new grain is nucleated during processing (as in solidification or annealing after cold working), the atoms within each growing grain are lined up in a specific pattern that depends upon the crystal structure of the metal or alloy. With growth, each grain will eventually impinge on others and form an interface where the atomic orientations are different.
Procedure • n100 = nm * [M / 100]2 • n100 : number of grains per square inch at 100x magnification. • Nm : number of grains per square inch at the magnification M of the photomicrograph. • The ASTM grain size number N= [ ln ( n ) / ln ( 2) ] + 1
How to calculate the grain size • Let M =200 • A = 2*3 = 6 inch2 • nm = 6grain /6 inch2 =1grain / inch2 • n100 = nm * [M / 100]2 • =1*[200/100]2 • n100 =4 grain / inch2 • N= [ ln (n100 ) / ln ( 2) ] + 1 • = [ ln ( 133.2) / ln ( 2) ] + 1 • = 3 grain / inch2
How to calculate the diameter of grain • To find n1 • n100 = n1 * [1 / 100]2 • n1= n100 [100]2 • n1= 4[100]2 = 40000 grain / inch2 • How many grains are in 1 inch2 • grains in1 inch2 = 1/ 40000 grain / inch2
Questions • For the pervious three photomicrographs, • Calculate the ASTM number of grains size of material assuming that 200x magnification factor. • Calculate the diameter of its grains . • Which of the three material is the hardest and which of them is the most ductile?