Michell structures formed on surfaces of revolution

DOI10.1007/s00158-004-0419-7zbMath1243.74144OpenAlexW2041050708MaRDI QIDQ438470

Tomasz Lewiński

Publication date: 31 July 2012

Published in: Structural and Multidisciplinary Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00158-004-0419-7

Mathematics Subject Classification ID

Shells (74K25) Optimization of other properties in solid mechanics (74P10) Plastic materials, materials of stress-rate and internal-variable type (74C99)

Related Items (5)

Optimal design of a class of symmetric plane frameworks of least weight: reply to the paper: Vázquez Espí\ and Cervera Bravo (2011) on the solution of the three forces problem and its application in optimal designing of a class of symmetric plane frameworks of least weight. Discussion on the Michell class concept ⋮ Variational proof of optimality criteria for Michell structures with pre-existing members ⋮ Michell cantilevers constructed within trapezoidal domains. I: Geometry of Hencky nets ⋮ Michell cantilevers constructed within trapezoidal domains. IV: Complete exact solutions of selected optimal designs and their approximations by trusses of finite number of joints ⋮ Topology design of three-dimensional continuum structures using isosurfaces

Cites Work

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• Hencky-Prandtl nets and constrained Michell trusses
• Macroscopic behaviour of locking materials with microstructure. I: Primal and dual elastic-locking potential. Relaxation
• Extended exact solutions for least-weight truss layouts. I: Cantilever with a horizontal axis of symmetry. II: Unsymmetric cantilevers
• A General Theory of Optimal Plastic Design
• HALF-PLANE SLIP-LINE FIELDS AND MICHELL STRUCTURES

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