SUMMARYA numerical method is given for examining the effect of uniformly heating thin shells of revolution which have an initial stress state. It is assumed that the yield strength decreases with temperature so that significant plastic flow takes place. The note includes a detailed study of this annealing effect on a finite length cylinder which has been given an initial state of stress by removing a longitudinal strip from it and rejoining the edges. The spread of the plastic regions with increasing temperature is followed and it is shown that the peak stress following a heating and cooling cycle is about 10-20 per cent in excess of the yield strength of the material at the peak temperature attained.
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