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Thermal damping of a vibrating elastic body

Published online by Cambridge University Press:  26 February 2010

P. Chadwick
Affiliation:
Department of Applied Mathematics, The University, Sheffield
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Summary

A formal solution of the coupled linear thermoelastic equations representing oscillatory motion of an elastic body is obtained, and the decay of the normal modes of vibration examined in detail. The main results of Zener's theory of the thermal damping of a vibrating body are then derived, and somewhat amplified, and consistency with the foregoing normal mode analysis established.

Type
Research Article
Copyright
Copyright © University College London 1962

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References

1.Zener, C., Phys. Rev., 52 (1937), 230235; 53 (1938), 90–99.CrossRefGoogle Scholar
2.Zener, C., Elasticity and Anelasticity of Metals (Chicago Univ. Press, Chicago, 1948).Google Scholar
3.Chadwick, P., “Thermoelasticity. The Dynamical Theory.” In Progress of Solid Mechanics, Vol. I (ed. Sneddon, I. N. and Hill, R.), pp. 265328. (North-Holland Pub. Co., Amsterdam, 1960.)Google Scholar
4.Morse, P. M. and Feshbach, H., Methods of Theoretical Physics (McGraw Hill, New York, Toronto, London, 1953).Google Scholar
5.Päsler, M., Zeit. fur Physik, 122 (1944), 357386.Google Scholar
6.Chadwick, P., J. Mech. Phys. Solids, 10 (1962), 99109.CrossRefGoogle Scholar
7.Alblas, J. B., Appl. Sci. Res. A, 10 (1961), 349362.Google Scholar
8.Eshelby, J. D., J. Mech. Phys. Solids, 9 (1961), 67.Google Scholar