De-homogenization of optimal multi-scale 3D topologies

DOI10.1016/j.cma.2020.112979zbMath1442.74148arXiv1910.13002OpenAlexW3012258678MaRDI QIDQ2180497

Ole Sigmund, Jakob Andreas Bærentzen, Jeroen P. Groen, Florian C. Stutz, Niels Aage

Publication date: 14 May 2020

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

Full work available at URL: https://arxiv.org/abs/1910.13002

zbMATH Keywords

numerical efficiencyoptimal microstructuresde-homogenizationgiga-scale topology optimizationlength-scale enforcement

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Optimization of other properties in solid mechanics (74P10) Homogenization, determination of effective properties in solid mechanics (74Q99)

Related Items (19)

Compliance minimisation of smoothly varying multiscale structures using asymptotic analysis and machine learning ⋮ Generalized de-homogenization via sawtooth-function-based mapping and its demonstration on data-driven frequency response optimization ⋮ Modular-topology optimization of structures and mechanisms with free material design and clustering ⋮ Optimisation of spatially varying orthotropic porous structures based on conformal mapping ⋮ Generation of smoothly-varying infill configurations from a continuous menu of cell patterns and the asymptotic analysis of its mechanical behaviour ⋮ De-homogenization of optimal 2D topologies for multiple loading cases ⋮ Performance analysis and optimisation of spatially-varying infill microstructure within CAD geometries ⋮ Cellular topology optimization on differentiable Voronoi diagrams ⋮ Topology optimization design of graded infills for 3D curved volume by a conformal sweeping method ⋮ Phasor noise for dehomogenisation in 2D multiscale topology optimisation ⋮ Lagrange multiplier and variational equations in mechanics ⋮ Multiscale topology optimization of modulated fluid microchannels based on asymptotic homogenization ⋮ Topology optimization of multiscale structures considering local and global buckling response ⋮ Plate microstructures with extreme stiffness for arbitrary multi-loadings ⋮ Machine learning-combined topology optimization for functionary graded composite structure design ⋮ A single variable-based method for concurrent multiscale topology optimization with multiple materials ⋮ An efficient 3D homogenization-based topology optimization methodology ⋮ De-homogenization using convolutional neural networks ⋮ High Order Homogenization of the Stokes System in a Periodic Porous Medium

Uses Software

• PETSc
• QuadCover
• CubeCover

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On projection methods, convergence and robust formulations in topology optimization
• Parallel computing techniques applied to the simultaneous design of structure and material
• G-closure of some particular sets of admissible material characteristics for the problem of bending of thin elastic plates
• Homogenization and optimal bounds in linear elasticity
• Generating optimal topologies in structural design using a homogenization method
• Materials with prescribed constitutive parameters: An inverse homogenization problem
• Optimization of the strain energy density in linear anisotropic elasticity
• Topology optimization of modulated and oriented periodic microstructures by the homogenization method
• Homogenization-based stiffness optimization and projection of 2D coated structures with orthotropic infill
• 3-d topology optimization of modulated and oriented periodic microstructures by the homogenization method
• Topology optimization of turbulent flows
• Filters in topology optimization
• Large-Scale Three-Dimensional Acoustic Horn Optimization
• Optimal orientation of anisotropic solids
• A Post-Treatment of the Homogenization Method for Shape Optimization
• QuadCover ‐ Surface Parameterization using Branched Coverings
• The method of moving asymptotes—a new method for structural optimization
• Optimal design and relaxation of variational problems, I
• Optimal Bounds and Microgeometries for Elastic Two-Phase Composites
• Optimum topology and reinforcement design of disk and plate structures with multiple stiffness and eigenfrequency objectives
• Topology optimization of nonlinear elastic structures and compliant mechanisms
• Shape optimization by the homogenization method

This page was built for publication: De-homogenization of optimal multi-scale 3D topologies