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The in-plane mechanics of a family of curved 2D lattices

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

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AN EFFICIENT CURVED BEAM FINITE ELEMENT
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On curved finite elements for the analysis of circular arches
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Free vibration analysis of arches using curved beam elements
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Elasticity of Fractal Inspired Interconnects
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A new two-noded curved beam finite element formulation based on exact solution
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A theoretical approach to the deformation of honeycomb based composite materials
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Limitations of certain curved finite elements when applied to arches
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Further studies in the application of curved finite elements to circular arches
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Free vibration of a curved beam
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A refined model for the effective in-plane elastic moduli of hexagonal honeycombs
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Simulation experiments on the effective in-plane compliance of the honeycomb materials
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Nonlinear buckling of fibre-reinforced unit cells of lattice materials
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Designing hierarchical metamaterials by topology analysis with tailored Poisson’s ratio and Young’s modulus
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Investigation of the equivalent material properties and failure stress of the re-entrant composite lattice structures using an analytical model
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Out-of-plane elastic constants of curved cell walls honeycombs
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The in-plane mechanical properties of highly compressible and stretchable 2D lattices
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In-plane elasticity of a strengthened re-entrant honeycomb cell
inferredcites →https://doi.org/10.1016/j.ijengsci.2017.06.004openalex-snapshot
Effective in-plane elastic moduli of quasi-random spatially irregular hexagonal lattices
inferredcites →https://doi.org/10.1016/j.ijengsci.2020.103231openalex-snapshot
Apparent negative values of Young’s moduli of lattice materials under dynamic conditions
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Programmable materials based on periodic cellular solids. Part I: Experiments
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A nonlinear mechanics model of bio-inspired hierarchical lattice materials consisting of horseshoe microstructures
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Mechanics of unusual soft network materials with rotatable structural nodes
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Free in-plane vibration of general curved beams using finite element method
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Large deformations of soft metamaterials fabricated by 3D printing
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Effective elastic properties of periodic hexagonal honeycombs
inferredcites →https://doi.org/10.1016/j.mechmat.2016.01.009openalex-snapshot
Effective in-plane elastic properties of auxetic honeycombs with spatial irregularity
inferredcites →https://doi.org/10.1016/j.mechmat.2021.103796openalex-snapshot
Broadband dynamic elastic moduli of honeycomb lattice materials: A generalized analytical approach
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Multiscale mechanics of hierarchical structure/property relationships in calcified tissues and tissue/material interfaces
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A general analytical framework for the mechanics of heterogeneous hexagonal lattices
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Models for the elastic deformation of honeycombs
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Introduction to Finite Element Vibration Analysis
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Correction: Corrigendum: Larger mitochondrial DNA than Y-chromosome differences between matrilocal and patrilocal groups from Sumatra
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Three-dimensional nanonetworks for giant stretchability in dielectrics and conductors
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Highly-stretchable 3D-architected Mechanical Metamaterials
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MAP kinase phosphatase 2 deficient mice develop attenuated experimental autoimmune encephalomyelitis through regulating dendritic cells and T cells
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Thin‐Walled Curved Beams. II: Analytical Solutions for Buckling of Arches
inferredcites →https://doi.org/10.1061/(asce)em.1943-7889.0001412openalex-snapshot
Effective In-Plane Elastic Modulus of a Periodic Regular Hexagonal Honeycomb Core with Thick Walls
inferredcites →https://doi.org/10.1080/15397734.2018.1456343openalex-snapshot
A new finite element formulation for free vibrations of planar curved beams
inferredcites →https://doi.org/10.1098/rspa.1981.0117openalex-snapshot
The structure and mechanics of cork
inferredcites →https://doi.org/10.1098/rspa.2010.0215openalex-snapshot
Micro-architectured materials: past, present and future
inferredcites →https://doi.org/10.1098/rspa.2021.0244openalex-snapshot
The eigenbuckling analysis of hexagonal lattices: closed-form solutions
inferredcites →https://doi.org/10.1115/1.3269447openalex-snapshot
Matrix and Finite Element Displacement Analysis of Structures
inferredcites →https://doi.org/10.1115/1.4039374openalex-snapshot
A Mechanics Model of Soft Network Materials With Periodic Lattices of Arbitrarily Shaped Filamentary Microstructures for Tunable Poisson's Ratios
inferredcites →https://doi.org/10.1126/science.1222149openalex-snapshot
Camouflage and Display for Soft Machines
inferredcites →https://doi.org/10.1126/science.1252610openalex-snapshot
A method for building self-folding machines
inferredcites →https://doi.org/10.1126/science.aao4640openalex-snapshot
Three-dimensional mechanical metamaterials with a twist
inferredcites →https://doi.org/10.1146/annurev-matsci-070115-031624openalex-snapshot
Architected Cellular Materials
inferredcites →https://doi.org/10.1177/1045389x11416030openalex-snapshot
A Cellular Kirigami Morphing Wingbox Concept
inferredcites →https://doi.org/10.1177/1077546317728148openalex-snapshot
Free in-plane vibration of curved beam structures: A tutorial and the state of the art
inferredcites →https://doi.org/10.1243/095441005x30216openalex-snapshot
Evaluation of hexagonal chiral structure for morphing airfoil concept
inferredcites →https://doi.org/10.2514/3.4056openalex-snapshot
A cylindrical shell discrete element.
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Introduction to finite element vibration analysis

What points at this work

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

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Inverse Design of a Nurbs-Based Chiral Metamaterial Via Machine Learning for Programmable Mechanical Deformation
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3D wave dispersion analysis of graphene platelet-reinforced ultra-stiff double functionally graded nanocomposite sandwich plates with metamaterial honeycomb core layer
inferred← citeshttps://doi.org/10.1016/j.cma.2023.116032openalex-snapshot
Controlling auxeticity in curved-beam metamaterials via a deep generative model
inferred← citeshttps://doi.org/10.1016/j.compstruct.2022.116591openalex-snapshot
Enhancement of band-gap characteristics in hexagonal and re-entrant lattices via curved beams
inferred← citeshttps://doi.org/10.1016/j.compstruct.2023.116900openalex-snapshot
The mechanics and optimal design of micro-architectured stepped hexagonal lattices
inferred← citeshttps://doi.org/10.1016/j.compstruct.2024.118342openalex-snapshot
Tailoring band gap properties of curved hexagonal lattices with nodal cantilevers
inferred← citeshttps://doi.org/10.1016/j.compstruct.2024.118391openalex-snapshot
Analytical homogenization for equivalent in-plane elastic moduli of prestressed lattices based on the micropolar elasticity model
inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2025.110186openalex-snapshot
A Novel Dual Curved Cubic (DCC) structure with improved compressive strength
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Freeform surface morphing using honeycomb plates: Gaussian curvature control
inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2025.111137openalex-snapshot
Aperiodic tiling-based metamaterial generation for structural property exploration
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Design and study of novel Nested auxetic lattices with tunable and enhanced in-plane elastic properties
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3D piezoelectric composite honeycombs with alternating bi-material beam: An active control method for elastic properties
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Analytical homogenization for equivalent in-plane elastic moduli of honeycomb structures with stiffened joints
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Mechanical characteristics of a novel rotating star-rhombic auxetic structure with multi-plateau stages
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Effective Young’s modulus of Bézier-based honeycombs: Semi-analytical modeling and the role of design parameters and curvature
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Mechanical behavior and energy absorption capability of trigonometric function curved rod cell-based lattice structures under compressive loading
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Active heterogeneous mode coupling in bi-level multi-physically architected metamaterials for temporal, on-demand and tunable programming
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Inverse Design of Two-Dimensional Shape-Morphing Structures
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Programmed Out-of-Plane Curvature to Enhance Multimodal Stiffness of Bending-Dominated Composite Lattices
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A Highly Automated Unit-Cell Based Brute-Force Approach for Active Metamaterials
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