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This paper is concerned with the determination of the distribution of temperature and displacement in a thin semi-infinite elastic rod when its free end is subjected to periodic heating. It has been pointed out by P.Chadwick(1960) that the rigorous approach,i.c. the approach by way of the coupled equations, to the thermal boundary value problem. In this paper the one dimensional problem of the periodic heating of the free surface of a semi-infinite rod has been solved by a perturbation procedure, approximations upto the first order being retained.

One Dimensional Coupled Thermoelastic Problem Due To Periodic Heating In A Semi-Infinite Rod.