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Propagation of Thermal Stresses in an Infinite Medium

Published online by Cambridge University Press:  20 January 2009

F. J. Lockett  and
I. N. Sneddon
F. J. Lockett
Affiliation:
The University, Glasgow
I. N. Sneddon
Affiliation:
The University, Glasgow
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In the full linear theory of thermoelasticity there is a coupling between the thermal and the purely mechanical effects so that not only does a nonuniform distribution of temperature in the solid produce a state of stress but dynamical body forces or applied surface tractions produce variations in temperature throughout the body. In a recent paper (Eason and Sneddon, (2)) an account was given of the calculation of the dynamic stresses produced in elastic bodies, both infinite and semi-infinite, by uneven heating. In this paper we shall consider the propagation of thermal stresses in an infinite medium when, in addition to heat sources, there are present body forces which vary with the time.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 11 , Issue 4 , November 1959 , pp. 237 - 244
Copyright
Copyright © Edinburgh Mathematical Society 1959

References

REFERENCES

Eason, G., Fulton, J. and Sneddon, I. N., The generation of waves in an infinite elastic solid by variable body forces, Phil. Trans., A, 248 (1956), 575.Google Scholar
Eason, G. and Sneddon, I. N., The dynamic stresses produced in elastic bodies by uneven heating, Proc. Boy. Soc. Edin., A, 65 (1959), 143.Google Scholar
Sneddon, I. N. and Berry, D. S., The classical theory of elasticity, Handb. Phys. 6 (1958), 1–124.Google Scholar