Hencky-Prandtl nets and constrained Michell trusses

Gilbert Strang, Robert V. Kohn

Research output: Contribution to journalArticlepeer-review


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
Issue number2
StatePublished - Feb 1983

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • General Physics and Astronomy
  • Computer Science Applications


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