Pochhammer–Chree waves in rods: degeneracy at the bulk wave velocities

Author:

Kuznetsov Sergey V.ORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Physics and Astronomy,General Mathematics

Reference12 articles.

1. Pochhammer, L.: Ueber die Fortpflanzungsgeschwindigkeiten kleiner Schwingungen in einem unbegrenzten isotropen Kreiscylinder. J. Reine Angew. Math. 81, 324–336 (1876)

2. Chree, C.: Longitudinal vibrations of a circular bar. Q. J. Pure Appl. Math. 21, 287–298 (1886)

3. Chree, C.: The equations of an isotropic elastic solid in polar and cylindrical coordinates, their solutions and applications. Trans. Camb. Philos. Soc. 14, 250–309 (1889)

4. Mindlin, R.D., McNiven, H.D.: Axially symmetric waves in elastic rods. Trans. ASME. J. Appl. Mech. 27, 145–151 (1960)

5. Meeker, T.R., Meitzler, A.H.: Guided wave propagation in elongated cylinders and plates. In: Mason, W.P. (ed.) Physical Acoustics: Principles and Methods, vol. 1A, pp. 111–167. Academic Press, New York (1964)

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