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Thermal Stress in Anisotropic Cylinders

Published online by Cambridge University Press:  20 January 2009

G. Eason
G. Eason
Affiliation:
Department of Mathematics, Royal College of Science and Technology, Glasgow, C.1
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In recent years considerable attention has been given to problems of thermal stress in isotropic materials. Much of this work has been devoted to statical problems although there has been some work on problems with time dependence, for example the quasi-static solutions obtained by Sternberg (1) and Eason and Sneddon (2). A good deal of interest has also been shown in statical thermal stress problems when the material is anisotropic. For the type of material considered here statical problems have been investigated by Grechushnikov and Brodovskii (3) and Sirotin (4) among others. Little attention has been given, however, to time dependent thermal stress problems when the material is anisotropic.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 13 , Issue 2 , December 1962 , pp. 159 - 164
Copyright
Copyright © Edinburgh Mathematical Society 1962

References

(1) Sternberg, E., Proc. Koninkl. Nederl. Akad. Wet., Ser. B 60 (1957), 396.Google Scholar
(2) Eason, G. and Sneddon, I. N., Proc. Roy. Soc. Edin., A 65 (1959), 143.Google Scholar
(3) Grechushnikov, B. N. and Brodovskii, D., Kristallografiya, 1 (1956), 597.Google Scholar
(4) Sirotin, Y. I., Kristallografiya, 1 (1956), 708.Google Scholar
(5) Hearman, R. F. S., An introduction to applied anisotropic elasticity (Oxford University Press, 1961).CrossRefGoogle Scholar
(6) Carslaw, H. S. and Jaeger, J. C., Conduction of heat in solids, 2nd edn. (Oxford University Press, 1959).Google Scholar