Hencky-Prandtl nets and constrained Michell trusses

Gilbert Strang; Robert V. Kohn

doi:10.1016/0045-7825(83)90113-5

Hencky-Prandtl nets and constrained Michell trusses

Gilbert Strang, Robert V. Kohn

Mathematics

Research output: Contribution to journal › Article

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 language	English (US)
Pages (from-to)	207-222
Number of pages	16
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	36
Issue number	2
DOIs	https://doi.org/10.1016/0045-7825(83)90113-5
State	Published - Feb 1983

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
Physics and Astronomy(all)
Computer Science Applications

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Strang, G., & Kohn, R. V. (1983). Hencky-Prandtl nets and constrained Michell trusses. Computer Methods in Applied Mechanics and Engineering, 36(2), 207-222. https://doi.org/10.1016/0045-7825(83)90113-5

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