Optimal plastic design: Superposition principles and bounds on the minimum cost

G. Rozvany, R. D. Hill

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

This paper discusses a generalization of the Prager-Nagtegaal superposition principle for the optimal plastic design of structures subject to more than two alternate loads, and presents extended lower bound theorems for convex, piecewise differentiable, specific cost functions. One lower bound theorem can also be interpreted as an energy theorem for elastic structures. The proposed principles are illustrated by examples.

Original languageEnglish
Pages (from-to)151-173
Number of pages23
JournalComputer Methods in Applied Mechanics and Engineering
Volume13
Issue number2
DOIs
Publication statusPublished - 1978

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Cost functions
plastics
theorems
Plastics
costs
Costs
energy

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics

Cite this

Optimal plastic design : Superposition principles and bounds on the minimum cost. / Rozvany, G.; Hill, R. D.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 13, No. 2, 1978, p. 151-173.

Research output: Contribution to journalArticle

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