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On Transient Thermal Stresses in an Infinite Thin Plate

Published online by Cambridge University Press:  20 January 2009

W. Derski
W. Derski
Affiliation:
Department of Mechanics of Continuous Media, Polish Academy of Sciences
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The presence of a non-steady state of temperature in an elastic solid gives rise to an additional term in the generalised Hooke's Law connecting the stress and strain tensors and terms involving the time rate of change of the dilatation. This time-dependent dilatation may produce so-called thermoelastic stress waves. The present note is concerned with the effects produced by these additional terms in a simple situation, in which the elastic solid is regarded as a thin plate of infinite extent. The distribution of temperature in the plate is produced by a point heat source of Dirac type.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 12 , Issue 2 , December 1960 , pp. 69 - 73
Copyright
Copyright © Edinburgh Mathematical Society 1960

References

REFERENCES

(1)Erdelyi, A., Editor, Tables of Integral Transforms, Vol. 1 (McGraw-Hill, 1954).Google Scholar
(2)Eason, G. and Sneddon, I. N., The dynamic stresses produced in elastic body by uneven heating, Proc. Roy. Soc. Edin. A, 65, 143.Google Scholar
(3)Nowacki, W., Zagadnienia Termosprėży⋅tosci (PWN, Warszawa, 1960).Google Scholar
(4)Melan, E., Spannungen infolge nichtstationärer Temperaturfelder (Österreich. Ing.-Archiv, 1955).Google Scholar
(5)Sneddon, I. N., Fourier Transforms (McGraw-Hill, 1951).Google Scholar
(6)Watson, G. N., A Treatise on the Theory of Bessel Functions (Cambridge, 1922).Google Scholar