A review of the theory underlying the use of sound velocity measurements to predict Young's Modulus, shear modulus, bulk modulus, and Poisson's ratio is presented. A rigorous mathematical proof of this theory has existed for decades, the central basis of which is a dynamic balance of elastic and inertial forces. We review that proof using a simpler mathematical format that can be more readily understood by non-mathematicians. The result is a lesson that significant errors in calculating elastic properties are avoided if the role of Poisson triaxial stresses on sound velocity is carefully considered. The intent of this paper is to help engineers in the PM industry and students of engineering better understand this method and consider its use for quality control in manufacturing production settings.
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