Exact analytical theory of topology optimization with some pre-existing members or elements

DOI10.1007/S00158-005-0594-1zbMath1245.74064OpenAlexW2069053121MaRDI QIDQ445465

J. Herrera, M. L. Glasser

Publication date: 25 August 2012

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

Full work available at URL: https://doi.org/10.1007/s00158-005-0594-1

zbMATH Keywords

topological optimization

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Compliance or weight optimization in solid mechanics (74P05)

Related Items (8)

An adaptive method for high-resolution topology design ⋮ A general boundary approach to the construction of Michell truss structures ⋮ Optimum topology and shape design of prestressed concrete bridge girders using a genetic algorithm ⋮ Variational proof of optimality criteria for Michell structures with pre-existing members ⋮ Linear and nonlinear topology optimization design with projection-based ground structure method (P-GSM) ⋮ Development and validation of a numerical topology optimization scheme for two and three dimensional structures ⋮ Concurrent design with connectable graded microstructures ⋮ Topology optimization for concurrent design of structures with multi-patch microstructures by level sets

Cites Work

• Exact analytical solutions for some popular benchmark problems in topology optimization.
• Michell layouts for various combinations of line supports. I
• 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
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