Acta Mechanica

, Volume 49, Issue 1–2, pp 1–10 | Cite as

Elasto-plastic analysis of an anisotropic rotating disc

  • D. Durban
  • V. Birman
Contributed Papers


A finite strain investigation is presented for the axially-symmetric plane-stress problem of a rotating annular disc. Material behaviour is modelled by an elasto-plastic deformation type theory based on a new anisotropic flow theory proposed by Hill. It is shown that the governing field equations can be reduced to a system of two coupled linear differential equations. The solution of that system is obtained numerically using a standard procedure. The analysis is not restricted to any particular choice of the strain hardening characteristic, and covers the entire elasto-plastic domain.

Detailed results are derived, as an example, for a disc made of soft aluminum. The existence of a critical (maximum) angular velocity is demonstrated over a wide range of radii ratio.


Fluid Dynamics Angular Velocity Field Equation Material Behaviour Linear Differential Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • D. Durban
    • 1
  • V. Birman
    • 1
  1. 1.Department of Aeronautical EngineeringTechnion-Israel Institute of TechnologyHaifaIsrael

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