Generalized hole nucleation through BESO for the level set based topology optimization of multi-material structures

DOI10.1016/j.cma.2019.06.028zbMath1441.74176OpenAlexW2953641379MaRDI QIDQ1988212

Tielin Shi, Qi Xia

Publication date: 16 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.2019.06.028

zbMATH Keywords

level set methodtopology optimizationtopological derivativemulti-material structureBESO methodgeneralized hole nucleation

Mathematics Subject Classification ID

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

Uses Software

• topopt_multi

Cites Work

• Unnamed Item
• A discrete level-set topology optimization code written in Matlab
• Simultaneous optimization of cast part and parting direction using level set method
• Multimaterial structural topology optimization with a generalized Cahn-Hilliard model of multiphase transition
• A level set approach for optimal design of smart energy harvesters
• 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
• Stress-related topology optimization of continuum structures involving multi-phase materials
• 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.
• ``Color level sets: A multi-phase method for structural topology optimization with multiple materials.
• Material interpolation schemes in topology optimization
• The shape and topological optimizations' connection
• Structural boundary design via level set and immersed interface methods
• Multimaterial topology optimization by volume constrained Allen-Cahn system and regularized projected steepest descent method
• A multi-material level set-based topology and shape optimization method
• A level set method for structural topology optimization.
• A level set method for structural topology optimization and its applications
• Multi-material continuum topology optimization with arbitrary volume and mass constraints
• Multi-material topology optimization considering interface behavior via XFEM and level set method
• Parametric structural shape \& topology optimization with a variational distance-regularized level set method
• A new multi-material level set topology optimization method with the length scale control capability
• 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
• Multi-phase structural optimizationviaa level set method
• Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum
• Design of multiphysics actuators using topology optimization. I: One-material structures. II: Two-material structures.