Abstract
ALTHOUGH Pochhammer's1 well-known solution for elastic waves in cylindrical rods has been in existence for many years, two problems arising out of it in connexion with longitudinal motion have yet to be solved.
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References
Pochhammer, L., J. reine u. angew. Math., 81, 324 (1887). See also ref. 4.
Cooper, J. L. B., Phil. Mag., (7), 38, 1 (1947).
Davies, R. M., Phil. Trans., A, 240, 375 (1946).
Morse, R. W., J. Acoust. Soc. Amer., 20, 833 (1948).
Bishop, R. E. D., Aero. Quart., 3, 280 (1952).
Love, A. E. H., “The Mathematical Theory of Elasticity”, 201 (1927).
Goodier, J. N., Phil. Mag., (7), 8, 607 (1937).
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BISHOP, R. Longitudinal Elastic Waves in Cylindrical Rods. Nature 172, 169 (1953). https://doi.org/10.1038/172169a0
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DOI: https://doi.org/10.1038/172169a0
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