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Numerical Shape Optimization of Auxetic Structures through Cross-sectional Mass Redistribution

https://doi.org/10.2139/ssrn.7439302
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Progress in Auxetic Mechanical Metamaterials: Structures, Characteristics, Manufacturing Methods, and Applications
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Design of Auxetic Structures via Mathematical Optimization
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The method of moving asymptotes—a new method for structural optimization
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Auxetic behaviour from rotating rigid units
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Non-linear properties of metallic cellular materials with a negative Poisson's ratio
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Topology Optimization of Lightweight Lattice Structural Composites Inspired by Cuttlefish Bone
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Influence of Additional Strut Elements in 3D Re-Entrant Auxetic Unit Cells on the Damage and Energy Absorption Properties
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Two-dimensional isotropic system with a negative poisson ratio
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In-plane elasticity of a novel arcwall-based double-arrowed auxetic honeycomb design: Energy-based theoretical analysis and simulation
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Designing two-dimensional metamaterials of controlled static and dynamic properties
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Penalty methods for time domain computational dynamics based on positive and negative inertia
inferredcites →https://doi.org/10.1016/j.compstruct.2018.04.056openalex-snapshot
Dynamic constitutive response of novel auxetic Kevlar®/epoxy composites
inferredcites →https://doi.org/10.1016/j.compstruct.2018.10.024openalex-snapshot
A novel re-entrant auxetic honeycomb with enhanced in-plane impact resistance
inferredcites →https://doi.org/10.1016/j.ijimpeng.2015.04.005openalex-snapshot
Impact resistance of uniform and functionally graded auxetic double arrowhead honeycombs
inferredcites →https://doi.org/10.1016/j.ijimpeng.2022.104193openalex-snapshot
Static and dynamic properties of a perforated metallic auxetic metamaterial with tunable stiffness and energy absorption
inferredcites →https://doi.org/10.1016/j.ijmecsci.2018.06.027openalex-snapshot
An analytical model for star-shaped re-entrant lattice structures with the orthotropic symmetry and negative Poisson's ratios
inferredcites →https://doi.org/10.1016/j.ijmecsci.2020.105619openalex-snapshot
Re-entrant auxetic lattices with enhanced stiffness: A numerical study
inferredcites →https://doi.org/10.1016/j.ijmecsci.2021.106457openalex-snapshot
Blast resistance of metallic double arrowhead honeycomb sandwich panels with different core configurations under the paper tube-guided air blast loading
inferredcites →https://doi.org/10.1016/j.ijmecsci.2022.108054openalex-snapshot
Comparison of different quasi-static loading conditions of additively manufactured composite hexagonal and auxetic cellular structures
inferredcites →https://doi.org/10.1016/j.ijsolstr.2015.05.005openalex-snapshot
Mechanical properties of 3D re-entrant honeycomb auxetic structures realized via additive manufacturing
inferredcites →https://doi.org/10.1016/j.jmps.2012.08.011openalex-snapshot
Complete characterization of the macroscopic deformations of periodic unimode metamaterials of rigid bars and pivots
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.2017.11.024openalex-snapshot
Theoretical, numerical and experimental analysis of three-dimensional double-V honeycomb
inferredcites →https://doi.org/10.1016/j.matdes.2018.11.013openalex-snapshot
Crashworthiness analysis of double-arrowed auxetic structure under axial impact loading
inferredcites →https://doi.org/10.1016/j.matdes.2019.107779openalex-snapshot
A new auxetic structure with significantly reduced stress concentration effects
inferredcites →https://doi.org/10.1016/j.mechmat.2020.103509openalex-snapshot
Chiral constrained stent: Effect of structural design on the mechanical and intravascular stent deployment performances
inferredcites →https://doi.org/10.1016/j.mtcomm.2022.105285openalex-snapshot
Auxetic mechanical metamaterials and their futuristic developments: A state-of-art review
inferredcites →https://doi.org/10.1038/353124a0openalex-snapshot
Molecular network design
inferredcites →https://doi.org/10.1061/jaeeez.aseng-5392openalex-snapshot
Design and Analysis of a New Buffer Structure with Negative Stiffness and Poisson’s Ratio
inferredcites →https://doi.org/10.1073/pnas.1417276111openalex-snapshot
Engineering the shape and structure of materials by fractal cut
inferredcites →https://doi.org/10.1103/physrevlett.114.185502openalex-snapshot
Reentrant Origami-Based Metamaterials with Negative Poisson’s Ratio and Bistability
inferredcites →https://doi.org/10.1115/1.4007865openalex-snapshot
Pyramidal Lattice Structures for High Strength and Energy Absorption
inferredcites →https://doi.org/10.1115/1.4030007openalex-snapshot
Analyses on the In-Plane Impact Resistance of Auxetic Double Arrowhead Honeycombs
inferredcites →https://doi.org/10.1126/science.235.4792.1038openalex-snapshot
Foam Structures with a Negative Poisson's Ratio
inferredcites →https://doi.org/10.1134/1.1131137openalex-snapshot
Negative Poisson coefficient of fractal structures
inferredcites →https://doi.org/10.1177/0040517520924850openalex-snapshot
Analysis of the mechanical properties of double arrowhead auxetic metamaterials under tension
inferredcites →https://doi.org/10.1177/1099636220935563openalex-snapshot
Design and modelling of auxetic double arrowhead honeycomb core sandwich panels for performance improvement under air blast loading
inferredcites →https://doi.org/10.1201/9781420054101openalex-snapshot
Friction Science and Technology
inferredcites →https://doi.org/10.2478/s13536-013-0140-6openalex-snapshot
Auxetic materials — A review
inferredcites →https://doi.org/10.3389/fmats.2024.1453905openalex-snapshot
A review on the auxetic mechanical metamaterials and their applications in the field of applied engineering
inferredcites →https://doi.org/10.3389/fmats.2025.1435381openalex-snapshot
Low-velocity impact resistance of double arrowhead triangular structure with negative Poisson’s ratio
inferredcites →https://doi.org/10.3390/app10093067openalex-snapshot
Effect of Two-Dimensional Re-Entrant Honeycomb Configuration on Elastoplastic Performance of Perforated Steel Plate
inferredcites →https://doi.org/10.3390/app12020910openalex-snapshot
Characterizing the Mechanical Performance of a Bare-Metal Stent with an Auxetic Cell Geometry
inferredcites →https://doi.org/10.3390/ma15228022openalex-snapshot
Re-Entrant Honeycomb Auxetic Structure with Enhanced Directional Properties
inferredcites →https://doi.org/10.3390/ma16247597openalex-snapshot
Investigation and Tailoring of Rotating Squares’ and Rectangles’ Auxetic Structure Behavior through Computational Simulations of 6082T6 Aluminum Alloy Structures
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