Hencky-Prandtl nets and constrained Michell trusses

DOI10.1016/0045-7825(83)90113-5zbMath0487.73111OpenAlexW2056103878MaRDI QIDQ1165675

Robert V. Kohn, Gilbert Strang

Publication date: 1983

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(83)90113-5

zbMATH Keywords

combination of Michell truss and slip line netminimum weight trussestechnological constraintsvariational treatment of unconstrained Michell problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Plastic materials, materials of stress-rate and internal-variable type (74C99) Optimization problems in solid mechanics (74P99)

Related Items (11)

On symmetry and non-uniqueness in exact topology optimization ⋮ On minimum compliance problems of thin elastic plates of varying thickness ⋮ Optimal vault problem -- form finding through 2D convex program ⋮ Sparse basis pursuit for compliance minimization in the vanishing volume ratio limit ⋮ Nonlocal Basis Pursuit: Nonlocal Optimal Design of Conductive Domains in the Vanishing Material Limit ⋮ Michell structures formed on surfaces of revolution ⋮ MICHELL TRUSSES AND LINES OF PRINCIPAL ACTION ⋮ Locking materials and the topology of optimal shapes ⋮ Singularity sets of constant principal strain deformations ⋮ Prager's layout theory: a nonnumerical computer method for generating optimal structural configurations and weight-influence surfaces ⋮ Setting the free material design problem through the methods of optimal mass distribution

Cites Work

• Optimal design of partially discretized grillages
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