Hencky-Prandtl nets and constrained Michell trusses

Gilbert Strang, Robert Kohn

Research output: Contribution to journalArticle

Abstract

We study minimum weight trusses (or truss-like continua) subject to technological constraints which limit the member forces. In the optimal design the principal strains are constant over part of the domain, and the principal stresses over another part-leading to a combination of a Michell truss and a slip line net. We begin with a variational treatment of the unconstrained Michell problem, indicating one possible numerical approach and also suggesting spaces of stress and displacement fields which will allow a proof of the existence of optimal trusses for very general boundary conditions.

Original languageEnglish (US)
Pages (from-to)207-222
Number of pages16
JournalComputer Methods in Applied Mechanics and Engineering
Volume36
Issue number2
DOIs
StatePublished - 1983

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trusses
Trusses
stress distribution
slip
Boundary conditions
boundary conditions
continuums

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics

Cite this

Hencky-Prandtl nets and constrained Michell trusses. / Strang, Gilbert; Kohn, Robert.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 36, No. 2, 1983, p. 207-222.

Research output: Contribution to journalArticle

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