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Integrated shape and size optimization of curved tetra-chiral and anti-tetra-chiral auxetics using isogeometric analysis

https://doi.org/10.1016/j.compstruct.2022.116094
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/adem.201600053openalex-snapshot
Three Decades of Auxetics Research − Materials with Negative Poisson's Ratio: A Review
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Design of Auxetic Structures via Mathematical Optimization
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3D Soft Metamaterials with Negative Poisson's Ratio
inferredcites →https://doi.org/10.1002/adma.201502485openalex-snapshot
Topology Optimized Architectures with Programmable Poisson's Ratio over Large Deformations
inferredcites →https://doi.org/10.1002/adma.201706589openalex-snapshot
Auxetic Mechanical Metamaterials to Enhance Sensitivity of Stretchable Strain Sensors
inferredcites →https://doi.org/10.1002/zamm.201700154openalex-snapshot
Homogenized couple stress model of optimal auxetic microstructures computed by topology optimization
inferredcites →https://doi.org/10.1007/978-981-15-6446-8openalex-snapshot
Mechanics of Metamaterials with Negative Parameters
inferredcites →https://doi.org/10.1007/978-981-287-275-3openalex-snapshot
Auxetic Materials and Structures
inferredcites →https://doi.org/10.1007/bf01637334openalex-snapshot
Recent developments in structural sensitivity analysis
inferredcites →https://doi.org/10.1007/s00158-015-1294-0openalex-snapshot
Design of materials using topology optimization and energy-based homogenization approach in Matlab
inferredcites →https://doi.org/10.1007/s00158-017-1652-1openalex-snapshot
Design of materials using hybrid cellular automata
inferredcites →https://doi.org/10.1007/s00158-017-1669-5openalex-snapshot
On the numerical implementation of continuous adjoint sensitivity for transient heat conduction problems using an isogeometric approach
inferredcites →https://doi.org/10.1007/s00158-019-02420-6openalex-snapshot
Space-time topology optimization for additive manufacturing
inferredcites →https://doi.org/10.1007/s00158-020-02497-4openalex-snapshot
Data-driven design approach to hierarchical hybrid structures with multiple lattice configurations
inferredcites →https://doi.org/10.1007/s00158-020-02747-5openalex-snapshot
Optimal design of chiral metamaterials with prescribed nonlinear properties
inferredcites →https://doi.org/10.1007/s004190050117openalex-snapshot
Negative Poisson's ratios in composites with star-shaped inclusions: a numerical homogenization approach
inferredcites →https://doi.org/10.1007/s11465-019-0575-5openalex-snapshot
An isogeometric numerical study of partially and fully implicit schemes for transient adjoint shape sensitivity analysis
inferredcites →https://doi.org/10.1007/s11831-016-9189-9openalex-snapshot
Nonlinear Shape-Manifold Learning Approach: Concepts, Tools and Applications
inferredcites →https://doi.org/10.1007/s11831-019-09331-1openalex-snapshot
From Topology Optimization Design to Additive Manufacturing: Today’s Success and Tomorrow’s Roadmap
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/10.1016/0166-3615(94)90028-0openalex-snapshot
A review of structural shape optimization
inferredcites →https://doi.org/10.1016/j.addma.2020.101382openalex-snapshot
An evolutionary design approach to shell-infill structures
inferredcites →https://doi.org/10.1016/j.cma.2005.02.002openalex-snapshot
Review of options for structural design sensitivity analysis. Part 1: Linear systems
inferredcites →https://doi.org/10.1016/j.cma.2013.06.001openalex-snapshot
Topology optimization in B-spline space
inferredcites →https://doi.org/10.1016/j.cma.2016.08.015openalex-snapshot
Multiscale isogeometric topology optimization for lattice materials
inferredcites →https://doi.org/10.1016/j.cma.2017.05.013openalex-snapshot
Isogeometric shape optimization of smoothed petal auxetic structures via computational periodic homogenization
inferredcites →https://doi.org/10.1016/j.cma.2017.11.032openalex-snapshot
Isogeometric shape optimization on triangulations
inferredcites →https://doi.org/10.1016/j.cma.2018.10.038openalex-snapshot
Isogeometric shape optimization of nonlinear, curved 3D beams and beam structures
inferredcites →https://doi.org/10.1016/j.cma.2019.04.021openalex-snapshot
Topology optimization for auxetic metamaterials based on isogeometric analysis
inferredcites →https://doi.org/10.1016/j.cma.2019.07.014openalex-snapshot
Isogeometric shape optimization of smoothed petal auxetics with prescribed nonlinear deformation
inferredcites →https://doi.org/10.1016/j.cma.2020.112876openalex-snapshot
Isogeometric topology optimization for computational design of re-entrant and chiral auxetic composites
inferredcites →https://doi.org/10.1016/j.cma.2020.113154openalex-snapshot
M-VCUT level set method for optimizing cellular structures
inferredcites →https://doi.org/10.1016/j.cma.2020.113306openalex-snapshot
Three-dimensional topology optimization of auxetic metamaterial using isogeometric analysis and model order reduction
inferredcites →https://doi.org/10.1016/j.compstruct.2016.06.061openalex-snapshot
Maximizing the effective Young’s modulus of a composite material by exploiting the Poisson effect
inferredcites →https://doi.org/10.1016/j.compstruct.2017.10.013openalex-snapshot
Auxetic nail: Design and experimental study
inferredcites →https://doi.org/10.1016/j.compstruct.2018.04.058openalex-snapshot
Bi-material microstructural design of chiral auxetic metamaterials using topology optimization
inferredcites →https://doi.org/10.1016/j.compstruct.2018.06.042openalex-snapshot
Optimal form and size characterization of planar isotropic petal-shaped auxetics with tunable effective properties using IGA
inferredcites →https://doi.org/10.1016/j.compstruct.2019.111215openalex-snapshot
Controllable optimal design of auxetic structures for extremal Poisson’s ratio of −2
inferredcites →https://doi.org/10.1016/j.compstruct.2021.114808openalex-snapshot
Deep-learning-based isogeometric inverse design for tetra-chiral auxetics
inferredcites →https://doi.org/10.1016/j.ijmecsci.2020.106169openalex-snapshot
Isogeometric shape optimization of missing rib auxetics with prescribed negative Poisson’s ratio over large strains using genetic algorithm
inferredcites →https://doi.org/10.1016/j.jmps.2016.02.012openalex-snapshot
A nonlinear mechanics model of bio-inspired hierarchical lattice materials consisting of horseshoe microstructures
inferredcites →https://doi.org/10.1016/j.jmps.2018.01.013openalex-snapshot
Systematic design of 3D auxetic lattice materials with programmable Poisson’s ratio for finite strains
inferredcites →https://doi.org/10.1016/j.matdes.2016.12.067openalex-snapshot
Design and modeling of auxetic and hybrid honeycomb structures for in-plane property enhancement
inferredcites →https://doi.org/10.1016/j.matdes.2017.02.022openalex-snapshot
Structural optimization of re-entrant negative Poisson's ratio structure fabricated by selective laser melting
inferredcites →https://doi.org/10.1016/j.matdes.2017.07.022openalex-snapshot
Pattern transformation of single-material and composite periodic cellular structures
inferredcites →https://doi.org/10.1016/j.matdes.2017.11.025openalex-snapshot
Design and characterisation of a tuneable 3D buckling-induced auxetic metamaterial
inferredcites →https://doi.org/10.1016/j.matdes.2017.12.047openalex-snapshot
Evolutionary design of nonuniform cellular structures with optimized Poisson's ratio distribution
inferredcites →https://doi.org/10.1016/j.matdes.2018.01.028openalex-snapshot
Modelling, and characterization of 3D printed cellular structures
inferredcites →https://doi.org/10.1016/j.matdes.2018.01.034openalex-snapshot
Exploiting negative Poisson's ratio to design 3D-printed composites with enhanced mechanical properties
inferredcites →https://doi.org/10.1016/j.matdes.2018.01.063openalex-snapshot
Multi-objective crashworthiness optimization for an auxetic cylindrical structure under axial impact loading
inferredcites →https://doi.org/10.1016/j.matdes.2018.02.051openalex-snapshot
Mechanical metamaterials with star-shaped pores exhibiting negative and zero Poisson's ratio
inferredcites →https://doi.org/10.1016/j.matdes.2018.02.052openalex-snapshot
3D cellular metamaterials with planar anti-chiral topology
inferredcites →https://doi.org/10.1016/j.matdes.2018.08.032openalex-snapshot
On two-step design of microstructure with desired Poisson's ratio for AM
inferredcites →https://doi.org/10.1016/j.matdes.2018.09.013openalex-snapshot
Elastic analysis of auxetic cellular structure consisting of re-entrant hexagonal cells using a strain-based expansion homogenization method
inferredcites →https://doi.org/10.1016/j.matdes.2019.107669openalex-snapshot
Systematic design of tetra-petals auxetic structures with stiffness constraint
inferredcites →https://doi.org/10.1016/s0020-7403(96)00025-2openalex-snapshot
Properties of a chiral honeycomb with a poisson's ratio of — 1
inferredcites →https://doi.org/10.1016/s0263-8223(96)00054-2openalex-snapshot
Models for the elastic deformation of honeycombs
inferredcites →https://doi.org/10.1016/s1359-6454(00)00269-xopenalex-snapshot
A novel mechanism for generating auxetic behaviour in reticulated foams: missing rib foam model
inferredcites →https://doi.org/10.1023/a:1006781224002openalex-snapshot
Auxetic behavior from rotating squares
inferredcites →https://doi.org/10.1038/ncomms7566openalex-snapshot
Soft network composite materials with deterministic and bio-inspired designs
inferredcites →https://doi.org/10.1038/s41598-018-19381-3openalex-snapshot
Shape-matching soft mechanical metamaterials
inferredcites →https://doi.org/10.1039/c6ra27333eopenalex-snapshot
Auxetic mechanical metamaterials
inferredcites →https://doi.org/10.1080/174159794088027573openalex-snapshot
Design sensitivity analysis: Overview and review
inferredcites →https://doi.org/10.1088/0964-1726/25/6/065012openalex-snapshot
A simple auxetic tubular structure with tuneable mechanical properties
inferredcites →https://doi.org/10.1088/1361-665x/aaa61copenalex-snapshot
Auxetic metamaterials and structures: a review
inferredcites →https://doi.org/10.1088/1361-665x/aab33dopenalex-snapshot
Auxetic hexachiral structures with wavy ligaments for large elasto-plastic deformation
inferredcites →https://doi.org/10.1126/sciadv.aaz4169openalex-snapshot
Designing complex architectured materials with generative adversarial networks
inferredcites →https://doi.org/10.1155/2014/753496openalex-snapshot
Review of Mechanics and Applications of Auxetic Structures
inferredcites →https://doi.org/10.1155/2015/650769openalex-snapshot
Computational Approach in Formulating Mechanical Characteristics of 3D Star Honeycomb Auxetic Structure
inferredcites →https://doi.org/10.2514/2.2416openalex-snapshot
Overview of Sensitivity Analysis and Shape Optimization for Complex Aerodynamic Configurations
inferredcites →https://doi.org/10.2514/3.48671openalex-snapshot
Sensitivity Analysis of Discrete Structural Systems
inferredcites →https://doi.org/10.3103/s0025654420040044openalex-snapshot
Auxetics among Materials with Cubic Anisotropy
inferredcites →https://doi.org/10.31614/cmes.2018.04603openalex-snapshot
Structural Design Optimization Using Isogeometric Analysis: A Comprehensive Review
inferredcites →https://doi.org/10.32604/cmes.2020.08680openalex-snapshot
Data-Driven Structural Design Optimization for Petal-Shaped Auxetics Using Isogeometric Analysis
inferredcites →https://doi.org/10.3390/ma10101137openalex-snapshot
The Isotropic and Cubic Material Designs. Recovery of the Underlying Microstructures Appearing in the Least Compliant Continuum Bodies
inferredcites →https://doi.org/10.3390/ma10121386openalex-snapshot
Computational Modelling of Structures with Non-Intuitive Behaviour

What points at this work

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

inferred← citeshttps://doi.org/10.2139/ssrn.4646606openalex-extracted
Inverse Design of a Nurbs-Based Chiral Metamaterial Via Machine Learning for Programmable Mechanical Deformation
inferred← citeshttps://doi.org/10.1007/s00419-023-02520-2openalex-snapshot
Tailoring vibrational behavior in hybrid cellular sandwich nanobeams: a multiscale computational study
inferred← citeshttps://doi.org/10.1007/s40964-023-00453-4openalex-snapshot
Additive manufacturing and mechanical characterization of sinusoidal-based lattice structures: a numerical and experimental approach
inferred← citeshttps://doi.org/10.1016/j.compstruct.2023.117475openalex-snapshot
Isogeometric homogenization of viscoelastic polymer composites via correspondence principle
inferred← citeshttps://doi.org/10.1016/j.compstruct.2024.118210openalex-snapshot
Inverse design of irregular architected materials with programmable stiffness based on deep learning
inferred← citeshttps://doi.org/10.1016/j.compstruct.2024.118678openalex-snapshot
Bi-directional homogenization method for the design of multi-scale mechanical metamaterials
inferred← citeshttps://doi.org/10.1016/j.engstruct.2023.116734openalex-snapshot
3D auxetic cementitious-polymeric composite structure with compressive strain-hardening behavior
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2023.105167openalex-snapshot
Analysis on the collapse stress of auxetic tubular anti-tetrachiral structures
inferred← citeshttps://doi.org/10.1016/j.istruc.2025.109673openalex-snapshot
Real-world applications of auxetic structures in engineering: A review
inferred← citeshttps://doi.org/10.1016/j.jmrt.2025.10.123openalex-snapshot
Experimental and numerical investigations of bio-inspired hollow re-entrant auxetic metamaterials manufactured using laser powder bed fusion
inferred← citeshttps://doi.org/10.1016/j.matdes.2024.113491openalex-snapshot
FFT-based surrogate modeling of auxetic metamaterials with real-time prediction of effective elastic properties and swift inverse design
inferred← citeshttps://doi.org/10.1016/j.mtcomm.2025.113057openalex-snapshot
BDH-NN: Bi-Directional Homogenization method using Neural Networks for the mechanical metamaterial design
inferred← citeshttps://doi.org/10.1016/j.tws.2024.112119openalex-snapshot
Design, analysis and optimization of the uniaxial properties of a new auxetic anti-chiral parallelogram metamaterial
inferred← citeshttps://doi.org/10.1051/epjam/2026001openalex-snapshot
Theoretical modeling of the effective elastic constants of a sinusoidal anti-tetra-missing rib auxetic honeycomb
inferred← citeshttps://doi.org/10.1177/00368504241294114openalex-snapshot
Isogeometric boundary element method analysis for dielectric target shape optimization in electromagnetic scattering
inferred← citeshttps://doi.org/10.3390/designs7060129openalex-snapshot
Influence of Topological Defects on the Mechanical Response of Unit Cells of the Tetrachiral Mechanical Metamaterial
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