Extensions of the Prager-Shield theory of optimal plastic design

D. E. Charrett, G. I.N. Rozvany

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15 Citations (Scopus)


The Prager-Shield associated displacement field method for optimal plastic design is extended to multi-component specific cost functions and multiple load conditions, and a lower bound theorem based on kinematic requirements only is introduced. Since any statically admissible stress field results in an upper bound, the proposed theorem provides a simple method for establishing bounds on the optimal cost. By a simple substitution of parameters into the general equations presented, the optimality criteria can be obtained for particular design problems. Examples of optimal fibre-reinforced plates are given.

Original languageEnglish
Pages (from-to)51-64
Number of pages14
JournalInternational Journal of Non-Linear Mechanics
Issue number1
Publication statusPublished - Feb 1972


ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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