Abstract
Most materials tend to expand if their temperature rises and, to a first approximation, the expansion is proportional to the temperature change.
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Notes
It is interesting to note that the stress field in this case is axisymmetric, even though the temperature field (14.9) is not.
See S.P. Timoshenko and J.N. Goodier, loc. cit., §153.
More detail about the derivation of this equation and other information about the linear theory of heat conduction can be found in the classical text H.S. Carslaw and J.C. Jaeger, Conduction of Heat in Solids, 2nd.ed., Clarendon Press, Oxford (1959).
See for example J. Dundurs, Distortion of a body caused by free thermal expansion, Mech.Res.Comm., Vol. 1 (1974), 121–124.
J.Dundurs loc. cit.
For more details, see J.R. Barber, Some implications of Dundurs’ Theorem for thermoelastic contact and crack problems, J.Strain Analysis, Vol. 22 (1980), 229–232.
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© 1992 Springer Science+Business Media Dordrecht
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Barber, J.R. (1992). Thermoelasticity. In: Elasticity. Solid Mechanics and Its Applications, vol 12. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2454-6_14
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