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Homogenized couple stress model of optimal auxetic microstructures computed by topology optimization

https://doi.org/10.1002/zamm.201700154
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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/nme.2922openalex-snapshot
Topological derivative for multi‐scale linear elasticity models applied to the synthesis of microstructures
inferredcites →https://doi.org/10.1002/pssb.201451733openalex-snapshot
The emergence of auxetic material as a result of optimal isotropic design
inferredcites →https://doi.org/10.1007/3-540-10000-8openalex-snapshot
Non-Homogeneous Media and Vibration Theory
inferredcites →https://doi.org/10.1007/978-3-642-35245-4openalex-snapshot
Topological Derivatives in Shape Optimization
inferredcites →https://doi.org/10.1007/978-3-662-05086-6openalex-snapshot
Topology Optimization: Theory, Methods, and Applications
inferredcites →https://doi.org/10.1007/bf01130170openalex-snapshot
Deformation mechanisms in negative Poisson's ratio materials: structural aspects
inferredcites →https://doi.org/10.1007/s10237-013-0486-zopenalex-snapshot
A 3D elastic micropolar model of vertebral trabecular bone from lattice homogenization of the bone microstructure
inferredcites →https://doi.org/10.1007/s11081-013-9225-7openalex-snapshot
A mixed integer programming approach to designing periodic frame structures with negative Poisson’s ratio
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(92)90063-8openalex-snapshot
Composite materials with poisson's ratios close to — 1
inferredcites →https://doi.org/10.1016/0045-7825(88)90086-2openalex-snapshot
Generating optimal topologies in structural design using a homogenization method
inferredcites →https://doi.org/10.1016/0141-0296(96)84815-2openalex-snapshot
Continuum models for materials with microstructure
inferredcites →https://doi.org/10.1016/j.cad.2016.09.009openalex-snapshot
Topology optimization of multi-material negative Poisson’s ratio metamaterials using a reconciled level set method
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.commatsci.2011.01.030openalex-snapshot
Topological design of microstructures of cellular materials for maximum bulk or shear modulus
inferredcites →https://doi.org/10.1016/j.commatsci.2013.08.036openalex-snapshot
Topological derivative based optimization of 3D porous elastic microstructures
inferredcites →https://doi.org/10.1016/j.commatsci.2014.02.006openalex-snapshot
Topological shape optimization of microstructural metamaterials using a level set method
inferredcites →https://doi.org/10.1016/j.ijengsci.2013.06.013openalex-snapshot
Size dependent static and dynamic behavior of trabecular bone based on micromechanical models of the trabecular architecture
inferredcites →https://doi.org/10.1016/j.jmps.2008.11.008openalex-snapshot
Sensitivity of the macroscopic elasticity tensor to topological microstructural changes
inferredcites →https://doi.org/10.1016/j.jmps.2011.09.012openalex-snapshot
Elasto-static micropolar behavior of a chiral auxetic lattice
inferredcites →https://doi.org/10.1016/j.jmps.2014.05.003openalex-snapshot
Design of materials with prescribed nonlinear properties
inferredcites →https://doi.org/10.1016/j.jmps.2016.02.010openalex-snapshot
A class of auxetic three-dimensional lattices
inferredcites →https://doi.org/10.1023/b:jmsc.0000026928.93231.e0openalex-snapshot
Review on auxetic materials
inferredcites →https://doi.org/10.1080/0305215x.2012.737781openalex-snapshot
Topological optimization for the design of microstructures of isotropic cellular materials
inferredcites →https://doi.org/10.1080/0305215x.2016.1164853openalex-snapshot
Level-set topology optimization for multimaterial and multifunctional mechanical metamaterials
inferredcites →https://doi.org/10.1098/rspa.2009.0499openalex-snapshot
Sensitivity of the macroscopic response of elastic microstructures to the insertion of inclusions
inferredcites →https://doi.org/10.1115/1.2789119openalex-snapshot
Elastoplastic Micromechanical Modeling of Two-Dimensional Irregular Convex and Nonconvex (Re-entrant) Hexagonal Foams
inferredcites →https://doi.org/10.1137/s0363012997323230openalex-snapshot
On the Topological Derivative in Shape Optimization
inferredcites →https://doi.org/10.1155/2014/753496openalex-snapshot
Review of Mechanics and Applications of Auxetic Structures

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.4687334openalex-extracted
Micromechanics and Analysis of Hyperelastic Auxetic Lattice Structures Under Finite-Strain Regime
inferred← citeshttps://doi.org/10.1002/cnm.3420openalex-snapshot
Structural analysis of an endoprosthesis designed with graded density lattice structures
inferred← citeshttps://doi.org/10.1002/zamm.70335openalex-snapshot
Revised identification of strain gradient elastic parameters
inferred← citeshttps://doi.org/10.1002/zamm.70573openalex-snapshot
Generative Design of Energy‐Absorbing Auxetic Metamaterials via Variational‐Autoencoder Latent‐Space Exploration and Nonlinear Finite‐Element Screening
inferred← citeshttps://doi.org/10.1007/978-3-030-49882-5_2openalex-snapshot
Parameter Determination of Metamaterials in Generalized Mechanics as a Result of Computational Homogenization
inferred← citeshttps://doi.org/10.1007/978-3-030-49882-5_23openalex-snapshot
On Finite Element Analysis in Generalized Mechanics
inferred← citeshttps://doi.org/10.1007/978-3-031-39070-8_1openalex-snapshot
Phase-Field Damage Modeling in Generalized Mechanics by Using a Mixed Finite Element Method (FEM)
inferred← citeshttps://doi.org/10.1007/s00033-022-01913-7openalex-snapshot
Ellipticity in couple-stress elasticity
inferred← citeshttps://doi.org/10.1007/s00161-020-00941-wopenalex-snapshot
Additive manufacturing introduced substructure and computational determination of metamaterials parameters by means of the asymptotic homogenization
inferred← citeshttps://doi.org/10.1007/s00366-021-01555-9openalex-snapshot
Mechanical analysis of heterogeneous materials with higher-order parameters
inferred← citeshttps://doi.org/10.1007/s00707-019-02387-xopenalex-snapshot
Analytical solution and finite element approach to the dense re-entrant unit cells of auxetic structures
inferred← citeshttps://doi.org/10.1007/s00707-025-04380-zopenalex-snapshot
Machine learning-assisted topology optimization framework for designing 2D structures based on micropolar elasticity
inferred← citeshttps://doi.org/10.1007/s40964-024-00729-3openalex-snapshot
Dynamic analysis of 3D-printed CF-PETG composites with different infill densities
inferred← citeshttps://doi.org/10.1016/j.advengsoft.2025.103941openalex-snapshot
Size-dependent topology optimization for eigenfrequency maximization of microplates using consistent couple stress theory
inferred← citeshttps://doi.org/10.1016/j.cma.2021.113819openalex-snapshot
Topology optimization of flexoelectric composites using computational homogenization
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.2018.04.058openalex-snapshot
Bi-material microstructural design of chiral auxetic metamaterials using topology optimization
inferred← citeshttps://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
inferred← citeshttps://doi.org/10.1016/j.compstruct.2020.112474openalex-snapshot
Experimental investigation on the dynamic behavior of 3D printed CF-PEKK composite under cyclic uniaxial compression
inferred← citeshttps://doi.org/10.1016/j.compstruct.2020.113534openalex-snapshot
Theoretical, emulation and experimental analysis on auxetic re-entrant octagonal honeycombs and its applications on pedestrian protection of engine hood
inferred← citeshttps://doi.org/10.1016/j.compstruct.2022.116094openalex-snapshot
Integrated shape and size optimization of curved tetra-chiral and anti-tetra-chiral auxetics using isogeometric analysis
inferred← citeshttps://doi.org/10.1016/j.compstruct.2023.117348openalex-snapshot
Study on mechanical properties of cellular structures with negative Poisson's ratio based on the development of Abaqus plug-in tool
inferred← citeshttps://doi.org/10.1016/j.compstruct.2025.119602openalex-snapshot
Investigations of size effects of heterogeneous architected metamaterials
inferred← citeshttps://doi.org/10.1016/j.engstruct.2024.118807openalex-snapshot
Computational design of auxetic microstructures via stress-based topology optimization
inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2020.105619openalex-snapshot
Re-entrant auxetic lattices with enhanced stiffness: A numerical study
inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2024.109246openalex-snapshot
Micro-macro analysis of Hyperelastic auxetic lattice structures under finite-strain regime
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2020.08.020openalex-snapshot
Hierarchy of beam models for lattice core sandwich structures
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2021.111394openalex-snapshot
Microstructural effects on the response of a multi-layered elastic substrate
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2025.113323openalex-snapshot
Size-dependent dynamic response of microstructured elastic substrate under moving loads
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2026.114002openalex-snapshot
Symplectic Hamiltonian formulation for stress and deformation in anisotropic auxetic beams
inferred← citeshttps://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
inferred← citeshttps://doi.org/10.1016/j.matdes.2018.09.041openalex-snapshot
Dynamic crushing of double-arrowed auxetic structure under impact loading
inferred← citeshttps://doi.org/10.1016/j.matdes.2019.107669openalex-snapshot
Systematic design of tetra-petals auxetic structures with stiffness constraint
inferred← citeshttps://doi.org/10.1016/j.mechmat.2020.103324openalex-snapshot
Nonlinear homogenization for topology optimization
inferred← citeshttps://doi.org/10.1016/j.mechrescom.2022.103877openalex-snapshot
Influence of microstructure on size effect for metamaterials applied in composite structures
inferred← citeshttps://doi.org/10.1061/jenmdt.emeng-7169openalex-snapshot
A Finite-Strain Simulation of 3D Printed Airless Tires
inferred← citeshttps://doi.org/10.1177/1077546320963985openalex-snapshot
Size-dependent two-scale topological design for maximizing structural fundamental eigenfrequency
inferred← citeshttps://doi.org/10.1177/10812865251406188openalex-snapshot
Topology optimization of microplates considering size effect based on consistent couple stress theory for minimizing the mean compliance
inferred← citeshttps://doi.org/10.2478/candc-2024-0006openalex-snapshot
2D mechanical metamaterials synthesized by topology optimization in the different symmetry classes
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