Exact analytical solutions for some popular benchmark problems in topology optimization.
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Publication:445511
DOI10.1007/BF01197436zbMath1245.74075OpenAlexW2596096855MaRDI QIDQ445511
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/bf01197436
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Least-weight design of perforated elastic plates. I
- Generating optimal topologies in structural design using a homogenization method
- Optimal plastic design: superposition principles and bounds on the minimum cost
- Extended exact solutions for least-weight truss layouts. I: Cantilever with a horizontal axis of symmetry. II: Unsymmetric cantilevers
- A primal-dual approach in truss topology optimization
- Explicit optimal bounds on the elastic energy of a two-phase composite in two space dimensions
- HALF-PLANE SLIP-LINE FIELDS AND MICHELL STRUCTURES
