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Multi-scale topology optimization for stiffness and de-homogenization using implicit geometry modeling

https://doi.org/10.1007/s00158-021-02874-7
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Optimal design and relaxation of variational problems, I
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Filters in topology optimization
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A projection‐based method for topology optimization of structures with graded surfaces
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Coupled optimization of macroscopic structures and lattice infill
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Microstructures of Composites of Extremal Rigidity and Exact Bounds on the Associated Energy Density
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Modelling the Properties of Composites by Laminates
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Shape Optimization by the Homogenization Method
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Topology Optimization: Theory, Methods, and Applications
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Homogenization and optimal bounds in linear elasticity
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A comparison of homogenization and standard mechanics analyses for periodic porous composites
inferredcites →https://doi.org/10.1007/bf00934300openalex-snapshot
G-closure of a set of anisotropically conducting media in the two-dimensional case
inferredcites →https://doi.org/10.1007/bf01195933openalex-snapshot
On optimal microstructures for a plane shape optimization problem
inferredcites →https://doi.org/10.1007/s00158-002-0209-zopenalex-snapshot
Hierarchical optimization of material and structure
inferredcites →https://doi.org/10.1007/s00158-013-1015-5openalex-snapshot
On multigrid-CG for efficient topology optimization
inferredcites →https://doi.org/10.1007/s00158-014-1074-2openalex-snapshot
Material interface effects on the topology optimizationof multi-phase structures using a level set method
inferredcites →https://doi.org/10.1007/s00158-015-1344-7openalex-snapshot
Microstructure interpolation for macroscopic design
inferredcites →https://doi.org/10.1007/s00158-016-1519-xopenalex-snapshot
Simultaneous material and structural optimization by multiscale topology optimization
inferredcites →https://doi.org/10.1007/s00158-018-1994-3openalex-snapshot
Current and future trends in topology optimization for additive manufacturing
inferredcites →https://doi.org/10.1007/s00158-018-2180-3openalex-snapshot
Simple single-scale microstructures based on optimal rank-3 laminates
inferredcites →https://doi.org/10.1007/s00158-019-02422-4openalex-snapshot
A density-and-strain-based K-clustering approach to microstructural topology optimization
inferredcites →https://doi.org/10.1007/s001580050040openalex-snapshot
On optimal microstructures for a plane shape optimization problem
inferredcites →https://doi.org/10.1007/s10853-008-2722-yopenalex-snapshot
Design of graded two-phase microstructures for tailored elasticity gradients
inferredcites →https://doi.org/10.1007/s11465-019-0530-5openalex-snapshot
Concurrent optimization of structural topology and infill properties with a CBF-based level set method
inferredcites →https://doi.org/10.1016/0020-7683(94)90154-6openalex-snapshot
Materials with prescribed constitutive parameters: An inverse homogenization problem
inferredcites →https://doi.org/10.1016/0022-5096(63)90060-7openalex-snapshot
A variational approach to the theory of the elastic behaviour of multiphase materials
inferredcites →https://doi.org/10.1016/0022-5096(86)90037-2openalex-snapshot
Mechanics of low density materials
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Generating optimal topologies in structural design using a homogenization method
inferredcites →https://doi.org/10.1016/0167-6636(85)90002-xopenalex-snapshot
A differential scheme for the effective moduli of composites
inferredcites →https://doi.org/10.1016/j.addma.2018.12.007openalex-snapshot
Compatibility in microstructural optimization for additive manufacturing
inferredcites →https://doi.org/10.1016/j.cma.2015.02.011openalex-snapshot
Topology optimization of coated structures and material interface problems
inferredcites →https://doi.org/10.1016/j.cma.2015.02.028openalex-snapshot
Topology optimisation of manufacturable microstructural details without length scale separation using a spectral coarse basis preconditioner
inferredcites →https://doi.org/10.1016/j.cma.2016.12.007openalex-snapshot
Concurrent design with connectable graded microstructures
inferredcites →https://doi.org/10.1016/j.cma.2017.08.018openalex-snapshot
Minimum compliance topology optimization of shell–infill composites for additive manufacturing
inferredcites →https://doi.org/10.1016/j.cma.2017.09.017openalex-snapshot
A level set method for shape and topology optimization of coated structures
inferredcites →https://doi.org/10.1016/j.cma.2019.02.031openalex-snapshot
Homogenization-based stiffness optimization and projection of 2D coated structures with orthotropic infill
inferredcites →https://doi.org/10.1016/j.cma.2020.112979openalex-snapshot
De-homogenization of optimal multi-scale 3D topologies
inferredcites →https://doi.org/10.1016/j.cma.2020.113037openalex-snapshot
Generation of smoothly-varying infill configurations from a continuous menu of cell patterns and the asymptotic analysis of its mechanical behaviour
inferredcites →https://doi.org/10.1016/j.commatsci.2012.09.018openalex-snapshot
Topology optimization of microstructures of cellular materials and composites for macrostructures
inferredcites →https://doi.org/10.1016/j.commatsci.2012.12.006openalex-snapshot
Comparing optimal material microstructures with optimal periodic structures
inferredcites →https://doi.org/10.1016/j.compstruc.2007.04.030openalex-snapshot
Optimum structure with homogeneous optimum truss-like material
inferredcites →https://doi.org/10.1016/j.compstruc.2015.10.001openalex-snapshot
Scale-size effects analysis of optimal periodic material microstructures designed by the inverse homogenization method
inferredcites →https://doi.org/10.1016/j.compstruc.2018.10.006openalex-snapshot
Design of shell-infill structures by a multiscale level set topology optimization method
inferredcites →https://doi.org/10.1016/j.eml.2019.03.004openalex-snapshot
Simple optimal lattice structures for arbitrary loadings
inferredcites →https://doi.org/10.1016/j.eml.2019.100596openalex-snapshot
Quasiperiodic mechanical metamaterials with extreme isotropic stiffness
inferredcites →https://doi.org/10.1016/j.eng.2016.02.006openalex-snapshot
Exploiting Additive Manufacturing Infill in Topology Optimization for Improved Buckling Load
inferredcites →https://doi.org/10.1016/j.jcp.2019.108994openalex-snapshot
3-d topology optimization of modulated and oriented periodic microstructures by the homogenization method
inferredcites →https://doi.org/10.1016/j.matdes.2020.109356openalex-snapshot
On the Competition for Ultimately Stiff and Strong Architected Materials
inferredcites →https://doi.org/10.1016/s0022-5096(98)00111-2openalex-snapshot
Scale effects on the elastic behavior of periodic andhierarchical two-dimensional composites
inferredcites →https://doi.org/10.1016/s0045-7825(00)00278-4openalex-snapshot
Topology optimization of non-linear elastic structures and compliant mechanisms
inferredcites →https://doi.org/10.1038/nature23911openalex-snapshot
Giga-voxel computational morphogenesis for structural design
inferredcites →https://doi.org/10.1088/0370-1298/65/5/307openalex-snapshot
The Elastic Behaviour of a Crystalline Aggregate
inferredcites →https://doi.org/10.1103/physrevlett.101.055504openalex-snapshot
Universal Elastic Anisotropy Index
inferredcites →https://doi.org/10.1109/tvcg.2019.2938946openalex-snapshot
Design and Optimization of Conforming Lattice Structures
inferredcites →https://doi.org/10.1115/1.4036941openalex-snapshot
Additive Manufacturing-Oriented Design of Graded Lattice Structures Through Explicit Topology Optimization
inferredcites →https://doi.org/10.1115/1.4041176openalex-snapshot
Connecting Microstructures for Multiscale Topology Optimization With Connectivity Index Constraints
inferredcites →https://doi.org/10.1115/1.4047345openalex-snapshot
Generative Design of Bionic Structures Via Concurrent Multiscale Topology Optimization and Conformal Geometry Method
inferredcites →https://doi.org/10.1137/070688900openalex-snapshot
A Post-Treatment of the Homogenization Method for Shape Optimization
inferredcites →https://doi.org/10.1145/3134472.3134497openalex-snapshot
libigl
inferredcites →https://doi.org/10.1145/3197517.3201353openalex-snapshot
Tetrahedral meshing in the wild
inferredcites →https://doi.org/10.1145/3272127.3275019openalex-snapshot
3D hair synthesis using volumetric variational autoencoders
inferredcites →https://doi.org/10.1145/3386569.3392385openalex-snapshot
Fast tetrahedral meshing in the wild
inferredcites →https://doi.org/10.26153/tsw/15300openalex-snapshot
Topology Optimization for Additive Manufacturing

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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3D-printed high-toughness composite structures by anisotropic topology optimization
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Effective property calculation and its numerical implementation of spatially graded plate structures based on asymptotic homogenization
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Problem-independent machine learning-enhanced structural topology optimization of complex design domains based on isoparametric elements
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Characteristics and performance of carabiner remodeling using 3D printing with graded filler and different orientation methods
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Lightweight metallic cellular materials: A systematic review on mechanical characteristics and engineering applications
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A topology optimization framework for CFRCs with fiber path planning
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Unstructured growth of irregular architectures for optimized metastructures
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Exploring VAE-driven implicit parametric unit cells for multiscale topology optimization
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Homogenization-based topology optimization for self-supporting additive-manufactured lattice-infilled structure
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