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Modeling of uniaxial compression in a 3D periodic re-entrant lattice structure

In this study, the behavior of a parametric 3D re-entrant dodecahedron lattice structure with negative Poisson’s ratio was studied. Four geometrical configurations for the re-entrant dodecahedron were designed, and the relationship between the mechanical properties and the design parameters was dete... Full description

Journal Title: Journal of materials science 2012-09-25, Vol.48 (4), p.1413-1422
Main Author: Yang, Li
Other Authors: Harrysson, Ola , West, Harvey , Cormier, Denis
Format: Electronic Article Electronic Article
Language: English
Subjects:
Publisher: Boston: Springer US
ID: ISSN: 0022-2461
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recordid: cdi_springer_journals_10_1007_s10853_012_6892_2
title: Modeling of uniaxial compression in a 3D periodic re-entrant lattice structure
format: Article
creator:
  • Yang, Li
  • Harrysson, Ola
  • West, Harvey
  • Cormier, Denis
subjects:
  • Article
  • Beam theory (structures)
  • Cellular structure
  • Characterization and Evaluation of Materials
  • Chemistry and Materials Science
  • Classical Mechanics
  • Compressing
  • Compressive strength
  • Crystallography and Scattering Methods
  • Design parameters
  • Electron beam melting
  • Feasibility studies
  • Finite element method
  • general
  • Lattices
  • Materials Science
  • Mathematical analysis
  • Mathematical models
  • Mechanical properties
  • Modelling
  • Poisson's ratio
  • Polymer Sciences
  • Solid Mechanics
  • Three dimensional
ispartof: Journal of materials science, 2012-09-25, Vol.48 (4), p.1413-1422
description: In this study, the behavior of a parametric 3D re-entrant dodecahedron lattice structure with negative Poisson’s ratio was studied. Four geometrical configurations for the re-entrant dodecahedron were designed, and the relationship between the mechanical properties and the design parameters was determined through beam theory. Samples were fabricated successfully via electron beam melting. Compressive tests as well as finite element analysis (FEA) were performed, and the results were compared with theoretical predictions. The modeling yielded explicit analytical equations of various mechanical properties including Poisson’s ratios, modulus and strength, and the compressive strength and the modulus from the prediction match well with the experiments, as well as the FEA results. The methodology used by this study also demonstrated a feasible approach to design 3D auxetic cellular structure for various applications.
language: eng
source:
identifier: ISSN: 0022-2461
fulltext: no_fulltext
issn:
  • 0022-2461
  • 1573-4803
url: Link


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descriptionIn this study, the behavior of a parametric 3D re-entrant dodecahedron lattice structure with negative Poisson’s ratio was studied. Four geometrical configurations for the re-entrant dodecahedron were designed, and the relationship between the mechanical properties and the design parameters was determined through beam theory. Samples were fabricated successfully via electron beam melting. Compressive tests as well as finite element analysis (FEA) were performed, and the results were compared with theoretical predictions. The modeling yielded explicit analytical equations of various mechanical properties including Poisson’s ratios, modulus and strength, and the compressive strength and the modulus from the prediction match well with the experiments, as well as the FEA results. The methodology used by this study also demonstrated a feasible approach to design 3D auxetic cellular structure for various applications.
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subjectArticle ; Beam theory (structures) ; Cellular structure ; Characterization and Evaluation of Materials ; Chemistry and Materials Science ; Classical Mechanics ; Compressing ; Compressive strength ; Crystallography and Scattering Methods ; Design parameters ; Electron beam melting ; Feasibility studies ; Finite element method ; general ; Lattices ; Materials Science ; Mathematical analysis ; Mathematical models ; Mechanical properties ; Modelling ; Poisson's ratio ; Polymer Sciences ; Solid Mechanics ; Three dimensional
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descriptionIn this study, the behavior of a parametric 3D re-entrant dodecahedron lattice structure with negative Poisson’s ratio was studied. Four geometrical configurations for the re-entrant dodecahedron were designed, and the relationship between the mechanical properties and the design parameters was determined through beam theory. Samples were fabricated successfully via electron beam melting. Compressive tests as well as finite element analysis (FEA) were performed, and the results were compared with theoretical predictions. The modeling yielded explicit analytical equations of various mechanical properties including Poisson’s ratios, modulus and strength, and the compressive strength and the modulus from the prediction match well with the experiments, as well as the FEA results. The methodology used by this study also demonstrated a feasible approach to design 3D auxetic cellular structure for various applications.
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abstractIn this study, the behavior of a parametric 3D re-entrant dodecahedron lattice structure with negative Poisson’s ratio was studied. Four geometrical configurations for the re-entrant dodecahedron were designed, and the relationship between the mechanical properties and the design parameters was determined through beam theory. Samples were fabricated successfully via electron beam melting. Compressive tests as well as finite element analysis (FEA) were performed, and the results were compared with theoretical predictions. The modeling yielded explicit analytical equations of various mechanical properties including Poisson’s ratios, modulus and strength, and the compressive strength and the modulus from the prediction match well with the experiments, as well as the FEA results. The methodology used by this study also demonstrated a feasible approach to design 3D auxetic cellular structure for various applications.
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doi10.1007/s10853-012-6892-2