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분야
hwp2. Introduction
2-1-1. Measurement of Young's modulus using sonic resonance
2-1-2. Sonic resonant test method (ASTM C848-78)
2-1-3. Calculation of Young's modulus and shear modulus
2-2-1. Measurement of Young's modulus using beam bending test
3. Experimental equipment
3-1. Measurement of Young's modulus using sonic resonant test
3-2. Measurement of Young's modulus using beam bending test
4. 실험 예비 문제
5. References
1. Purpose of this study
￭ Measurement of Young's modulus using sonic resonant test
￭ Measurement of Young's modulus using beam bending test
2. Introduction
Young's modulus is one of the important materials properties that is related with the bonding force between atoms or ions in materials. That will give a clear explanation why ceramic materials generally have a higher Young's modulus than metallic one. In engineering field, Young's modulus is used for input data that is necessary to analysis the structural change, mechanical behavior, and so on. Most of Young's modulus of commercial materials are known and can be found using internet searching or textbook. However, the properties of new materials cannot be known and will be needed to analysis and apply for engineering field. As a result, the new methods that can be measure Young's modulus with reliability and reappearance are needed to develop the new materials i.e. composite and thin film materials.
In general, there are two methods to measure the Young's modulus. The first one is called the 'static method' that is the way to measure the deformation strain that are corresponded to applied force using the strain gage. In other way, 'kinetic method' can measure the Young's modulus using 'sonic resonance test' and 'pulse echo overlap.' In sonic resonance test, sonic wave or impulse are applied to the specimen for finding the resonance frequency of the sample. In other words, pulse echo overlap method uses an echo that is generated by the wave in which penetrates the sample.
2-1-1. Measurement of Young's modulus using sonic resonance
The principal idea behind the sonic resonance test method can be explained using the equation by which one can measure the propagating speed of flexural sonic wave through a medium
(1)
where v is the propagating speed of the flexural wave on a string, F is the tension applied to both sides of the string, P is the mass per unit length of the string.
Some methmatical manipulation of Eq (1) yields
2) S. Spiner, T.W. Reivhard, and W.E. Tefft, J. Res. Nat. Bur. Stand. 16A, (1960) 147
3) Mechanical Metallurgy, SI Metric Edition, George E. Dieter, McGraw Hill
4). Physical Metallurgy Principles, 3rd edition, Reed-Hill, PWS-KENT
