Integrated topology optimization with embedded movable holes based on combined description by material density and level sets

DOI10.1016/j.cma.2012.11.006zbMath1297.74092OpenAlexW1971161605MaRDI QIDQ465865

Zhan Kang, Yi-Qiang Wang

Publication date: 24 October 2014

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.2012.11.006

zbMATH Keywords

level settopology optimizationnodal design variablecombined topology descriptionembedded holenon-overlap constraint

Mathematics Subject Classification ID

Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Optimization of other properties in solid mechanics (74P10) Homogenization in equilibrium problems of solid mechanics (74Q05) Topological methods for optimization problems in solid mechanics (74P15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30) Sensitivity analysis for optimization problems on manifolds (49Q12)

Related Items (21)

A level-set based continuous scanning path optimization method for reducing residual stress and deformation in metal additive manufacturing ⋮ Length scale control for structural optimization by level sets ⋮ Explicit multi-material topology optimization embedded with variable-size movable holes using moving morphable bars ⋮ Hole control methods in feature-driven topology optimization ⋮ Explicit layout control in optimal design of structural systems with multiple embedding components ⋮ An improved adaptive constraint aggregation for integrated layout and topology optimization ⋮ Level set-based topology optimization with overhang constraint: towards support-free additive manufacturing ⋮ An explicit optimization model for integrated layout design of planar multi-component systems using moving morphable bars ⋮ Integrated topology optimization of multi-component structures considering connecting interface behavior ⋮ Concurrent two-scale topological design of multiple unit cells and structure using combined velocity field level set and density model ⋮ A bio-inspired B-spline offset feature for structural topology optimization ⋮ Topology optimization of arbitrary-shape multi-phase structure with structured meshes based on a virtual phase method ⋮ Topology optimization in aircraft and aerospace structures design ⋮ Moving morphable patches for three-dimensional topology optimization with thickness control ⋮ Topology optimization benchmarks in 2D: results for minimum compliance and minimum volume in planar stress problems ⋮ Structural topology optimization with minimum distance control of multiphase embedded components by level set method ⋮ Multi-material topology optimization of lattice structures using geometry projection ⋮ Arbitrary void feature control in level set topology optimization ⋮ A level set method for shape and topology optimization of coated structures ⋮ Feature-driven topology optimization method with signed distance function ⋮ A feature-driven robust topology optimization strategy considering movable non-design domain and complex uncertainty

Uses Software

• top.m

Cites Work

• Unnamed Item
• Unnamed Item
• Volume preserving nonlinear density filter based on Heaviside functions
• Structural topology optimization based on non-local shepard interpolation of density field
• Integrated layout design of supports and structures
• Topology optimization with multiple phase projection
• A topology optimization method based on the level set method incorporating a fictitious interface energy
• A meshfree level-set method for topological shape optimization of compliant multiphysics actuators
• An extended level set method for shape and topology optimization
• Two- and three-dimensional parametric packing
• A new heuristic algorithm for rectangle packing
• Generating optimal topologies in structural design using a homogenization method
• Incorporating topological derivatives into level set methods.
• Structural optimization using sensitivity analysis and a level-set method.
• Material interpolation schemes in topology optimization
• Structural boundary design via level set and immersed interface methods
• A PDE-based fast local level set method
• A level set method for structural topology optimization.
• Shape and topology optimization based on the phase field method and sensitivity analysis
• A new exact method for the two-dimensional bin-packing problem with fixed orientation
• A new level set method for systematic design of hinge-free compliant mechanisms
• Filters in topology optimization
• A nodal variable method of structural topology optimization based on Shepard interpolant
• A structural optimization method based on the level set method using a new geometry-based re-initialization scheme
• Continuous approximation of material distribution for topology optimization
• Integrated layout design of multi-component system
• Reducing dimensionality in topology optimization using adaptive design variable fields
• Shape optimization with topological changes and parametric control
• A level set-based parameterization method for structural shape and topology optimization
• The method of moving asymptotes—a new method for structural optimization
• Topology optimization with implicit functions and regularization
• Checkerboard-free topology optimization using non-conforming finite elements
• Achieving minimum length scale in topology optimization using nodal design variables and projection functions
• Level set methods: An overview and some recent results

This page was built for publication: Integrated topology optimization with embedded movable holes based on combined description by material density and level sets