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Longitudinal Elastic Waves in Cylinders and Tubes—Including Thermoelastic Effects

Published online by Cambridge University Press:  20 January 2009

F. J. Lockett
F. J. Lockett
Affiliation:
Department of Mathematics, The University, Glasgow, W.2
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Longitudinal elastic waves in solid circular cylinders were first investigated by Pochhammer (1) and Chree (2) but they did not take into account the effects that thermal properties have on the propagation of these waves. In this paper we shall consider waves in solid and hollow cylinders as well as in the infinite medium with a cylindrical cavity, and in each case we shall take account of the thermoelastic effects.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 11 , Issue 3 , May 1959 , pp. 153 - 159
Copyright
Copyright © Edinburgh Mathematical Society 1959

References

REFERENCES

Pochhammer, L., J. reine angew. Math., 81 (1876), 324.Google Scholar
Chree, C., Q. J. Pure and Appl. Math., 23 (1889), 335.Google Scholar
Biot, M. A., J. Appl. Phys., 27 (1956), 240.CrossRefGoogle Scholar
Chadwick, P. and Sneddon, I. N., J. Mech. Phys. Solids, 6 (1958), 223.CrossRefGoogle Scholar
Lockett, F. J., Proa. Edin. Math. Soc., 11 (1959), 147–152.CrossRefGoogle Scholar
Erdélyi, (Editor), Tables of Integral Transforms, Vol. II (McGraw-Hill Book Company) (1954).Google Scholar
Sneddon, I. N. and Berry, D. S., Handbuch der Physik, 6 (1958), 1–126 (Berlin, Springer-Verlag).Google Scholar