Canonical duality theory for topology optimization

DOI10.1007/978-3-319-58017-3_13zbMath1382.49028arXiv1612.05684OpenAlexW2583644423MaRDI QIDQ1696980

David Yang Gao

Publication date: 15 February 2018

Full work available at URL: https://arxiv.org/abs/1612.05684

zbMATH Keywords

topology optimizationminimum total potential energycanonical dualitynonlinear elastic structuresbi-level mixed integer nonlinear programming

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Mixed integer programming (90C11) Nonlinear programming (90C30) Nonlinear elasticity (74B20) Duality theory (optimization) (49N15)

Related Items (6)

Canonical Duality-Triality Theory: Unified Understanding for Modeling, Problems, and NP-Hardness in Global Optimization of Multi-Scale Systems ⋮ A Novel Canonical Duality Theory for Solving 3-D Topology Optimization Problems ⋮ On quadratically constrained quadratic optimization problems and canonical duality theory ⋮ On the design of multimaterial structural topologies using integer programming ⋮ On topology optimization and canonical duality method ⋮ CANONICAL DUAL FINITE ELEMENT METHOD FOR SOLVING NONCONVEX MECHANICS AND TOPOLOGY OPTIMISATION PROBLEMS

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