The strain hardening rotating hollow shaft subject to a positive temperature gradient

Eraslan A. N. , Arslan E., Mack W.

ACTA MECHANICA, vol.194, pp.191-211, 2007 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 194
  • Publication Date: 2007
  • Doi Number: 10.1007/s00707-007-0456-6
  • Journal Name: ACTA MECHANICA
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.191-211


Based on Tresca's yield criterion and the flow rule associated with it, the distribution of stress, strain and displacement in a linearly strain hardening elastic-plastic hollow shaft subject to a positive radial temperature gradient and monotonously increasing angular speed is investigated. Presupposing circular symmetry and plane strain conditions, the problem is accessible to an analytical treatment. It is found that - depending on the temperature difference between the outer and the inner surface - qualitatively different types of solutions may occur, and that such a temperature difference on the one hand reduces the elastic limit angular speed but on the other hand may increase the fully plastic angular speed slightly. The residual stresses after stand-still and subsequent cooling are depicted, too.