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The rotating elastic-plastic hollow shaft conveying a hot medium

2010-03-01
Arslan, E.
Mack, W.
Eraslan, Ahmet Nedim
Based on Tresca's yield criterion and the flow rule associated with it, the distribution of stress and strain in a linearly strain hardening elastic-plastic hollow shaft subject to monotonously increasing angular speed and a negative radial temperature gradient-corresponding to the flow of a hot medium-is investigated. Presupposing circular symmetry and plane strain conditions, the problem is amenable to an analytical treatment. It is found that-depending on the temperature difference between the outer and the inner surface-several qualitatively different types of solutions may occur, and a comprehensive discussion of the admissible maximum angular speeds for elastic behaviour as well as of the elastic-plastic states is performed. Moreover, the residual stresses at stand-still are studied.