Abstract
MEASUREMENT of the velocity of sound forms a convenient way of measuring elasticities. In a thin rod the longitudinal velocity is governed by Young's modulus E and the torsional velocity by the rigidity modulus n. For solids the difference between dynamic and static values arises mainly from the specific heats. Thus the ratio of the values of E will be equal to the ratio of the specific heats, γ. For torsional strains there is no change in volume, and it is assumed that there will be no difference in the values of n. On the basis of these two assumptions, the expression relating Poisson's ratio σ to the velocity measurements will be . The values of E, n and σ should approximate closely to static values, although deviations arising from frequency-sensitive elastic effects are to be expected.
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References
Bell, J. F. W., Phil. Mag., 2, 1113 (1957).
Lumsden, J., “The Thermodynamics of Alloys” (The Institute of Metals, 1952).
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BELL, J. Dynamic and Static Elasticities of Solids. Nature 181, 1330 (1958). https://doi.org/10.1038/1811330a0
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DOI: https://doi.org/10.1038/1811330a0
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