Zero density lower bounds in topology optimization

DOI10.1016/j.cma.2006.06.007zbMath1120.74711OpenAlexW2013500136MaRDI QIDQ2459252

Tyler E. Bruns

Publication date: 5 November 2007

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

Full work available at URL: https://doi.org/10.1016/j.cma.2006.06.007

zbMATH Keywords

Topology optimizationleast squares solutionminimum normzero density elements

Mathematics Subject Classification ID

Topological methods for optimization problems in solid mechanics (74P15)

Related Items (2)

On using a zero lower bound on the physical density in material distribution topology optimization ⋮ Topology optimization of freely floating elastic continua using the inertia relief method

Uses Software

• LAPACK
• Matlab
• Regularization tools
• ARPACK
• svdpack
• UTV

Cites Work

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• Topology optimization by penalty (TOP) method
• Design sensitivity analysis of structural systems
• Multiple-load truss topology and sizing optimization: Some properties of minimax compliance
• Material interpolation schemes in topology optimization
• A fictitious domain method for Dirichlet problem and applications
• Simultaneous analysis and design
• The method of moving asymptotes—a new method for structural optimization
• LAPACK Users' Guide
• Equivalent displacement based formulations for maximum strength truss topology design
• ARPACK Users' Guide
• An element removal and reintroduction strategy for the topology optimization of structures and compliant mechanisms
• Elements of structural optimization.
• Topology optimization of nonlinear elastic structures and compliant mechanisms

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