Stable hole nucleation in level set based topology optimization by using the material removal scheme of BESO

DOI10.1016/j.cma.2018.09.002zbMath1440.74323OpenAlexW2892192731MaRDI QIDQ1986460

Liang Xia, Qi Xia, Tielin Shi

Publication date: 8 April 2020

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.2018.09.002

zbMATH Keywords

level set methodtopology optimizationtopological derivativehole nucleationBESO

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in solid mechanics (74S20) Topological methods for optimization problems in solid mechanics (74P15)

Related Items (13)

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Cites Work

• Unnamed Item
• Unnamed Item
• A discrete level-set topology optimization code written in Matlab
• Connections between topological sensitivity analysis and material interpolation schemes in topology optimization
• Simultaneous optimization of cast part and parting direction using level set method
• A topology optimization method based on the level set method incorporating a fictitious interface energy
• Bi-directional evolutionary structural optimization on advanced structures and materials: a comprehensive review
• A semi-implicit level set method for structural shape and topology optimization
• Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials
• Topological sensitivity analysis
• Incorporating topological derivatives into level set methods.
• Structural optimization using sensitivity analysis and a level-set method.
• The shape and topological optimizations' connection
• Structural boundary design via level set and immersed interface methods
• A multi-material level set-based topology and shape optimization method
• Shape optimization with a level set based mesh evolution method
• A level set method for structural topology optimization.
• A level set method for structural topology optimization and its applications
• Optimization of structures with thin-layer functional device on its surface through a level set based multiple-type boundary method
• Parametric structural shape \& topology optimization with a variational distance-regularized level set method
• Level-set based topology optimization for electromagnetic dipole antenna design
• A new hole insertion method for level set based structural topology optimization
• Radial basis functions and level set method for structural topology optimization
• Evolutionary Topology Optimization of Continuum Structures
• A level set-based parameterization method for structural shape and topology optimization
• Level set topology optimization of fluids in Stokes flow
• On the Topological Derivative in Shape Optimization
• Numerical Optimization
• Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum

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