OPTIMAL DESIGN IN ELASTICITY AND PLASTICITY.

Gilbert Strang, Robert Kohn

Research output: Contribution to journalArticle

Abstract

A direct weight minimization subject to compliance constraints or plastic yielding constraints leads to a non-convex variational problem. Both the theoretical and the numerical analysis are unsatisfactory: the minimum weight is not achieved by any design, and the approximate designs oscillate as the element mesh is refined. We look for equivalent 'relaxed problems' with the same minima. They come from allowing composite materials constructed in an optimal way from the original materials. The constructions are different for elasticity and plasticity, but surprisingly the final relaxed problems are in some cases the same.

Original languageEnglish (US)
Pages (from-to)183-188
Number of pages6
JournalInternational Journal for Numerical Methods in Engineering
Volume22
Issue number1
StatePublished - Jan 1986

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Plasticity
Elasticity
Approximate Design
Nonconvex Variational Problems
Composite Materials
Compliance
Numerical analysis
Numerical Analysis
Plastics
Mesh
Composite materials
Optimal design
Design

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Computational Mechanics
  • Applied Mathematics

Cite this

OPTIMAL DESIGN IN ELASTICITY AND PLASTICITY. / Strang, Gilbert; Kohn, Robert.

In: International Journal for Numerical Methods in Engineering, Vol. 22, No. 1, 01.1986, p. 183-188.

Research output: Contribution to journalArticle

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