Structural optimization

, Volume 9, Issue 3–4, pp 200–206 | Cite as

Optimization of plastic shallow shells exhibiting nonstable behaviour

  • J. Lellep
  • J. Majak
Technical Papers


An optimal design technique is suggested for axisymmetric shallow shells exhibiting nonstable behaviour in the post-yield point range. The material of the shells is ideally rigidplastic obeying the von Mises yield condition, which is satisfied in the average and the associated deformation law. Spherical shells pierced with a hole and subjected to uniformly distributed transverse pressure are studied. Different cases of the support conditions are considered. Making use of the methods of the optimal control theory the problem is transformed into a boundary value problem which is solved numerically.


Civil Engineer Optimal Design Control Theory Support Condition Yield Condition 
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Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • J. Lellep
    • 1
  • J. Majak
    • 1
  1. 1.Tartu UniversityTartuEstonia

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