Fractal Analysis and Mechanical Characterization of 3D‐Printed Concave Hexagonal Structures With Negative Poisson's Ratio.

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Title: Fractal Analysis and Mechanical Characterization of 3D‐Printed Concave Hexagonal Structures With Negative Poisson's Ratio.
Authors: Lin, Shiyun1,2 (AUTHOR) linsy@cqjtu.edu.cn, Ran, Menghao1 (AUTHOR), Jie, Donghang1 (AUTHOR), Yin, Dagang3 (AUTHOR)
Source: Fatigue & Fracture of Engineering Materials & Structures. Jul2025, Vol. 48 Issue 7, p2821-2833. 13p.
Subjects: Poisson's ratio, Complex geometry, Three-dimensional printing, Fractal dimensions, Crack propagation
Abstract: Materials with a negative Poisson's ratio have gained attention for their unique mechanical properties, enabling applications in aerospace, construction, and medicine. However, the complex geometry of such structures poses challenges for traditional manufacturing. 3D printing offers a solution, allowing precise fabrication of these intricate designs. This study uses 3D printing to create three types of structures from PLA: concave hexagonal, four‐directional chiral, and biomimetic feather structures. Tensile testing revealed that the concave hexagonal structure outperformed the others in mechanical strength. Finite element simulations confirmed its superior load‐bearing capacity during fracture. Additionally, fractal analysis showed the concave hexagonal structure had the highest fractal dimension in crack propagation, further validating its mechanical superiority. These findings highlight the concave hexagonal structure's advantages through experimental, numerical, and fractal analyses. [ABSTRACT FROM AUTHOR]
Copyright of Fatigue & Fracture of Engineering Materials & Structures is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: <searchLink fieldCode="DE" term="%22Poisson's+ratio%22">Poisson's ratio</searchLink><br /><searchLink fieldCode="DE" term="%22Complex+geometry%22">Complex geometry</searchLink><br /><searchLink fieldCode="DE" term="%22Three-dimensional+printing%22">Three-dimensional printing</searchLink><br /><searchLink fieldCode="DE" term="%22Fractal+dimensions%22">Fractal dimensions</searchLink><br /><searchLink fieldCode="DE" term="%22Crack+propagation%22">Crack propagation</searchLink>
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  Data: Materials with a negative Poisson's ratio have gained attention for their unique mechanical properties, enabling applications in aerospace, construction, and medicine. However, the complex geometry of such structures poses challenges for traditional manufacturing. 3D printing offers a solution, allowing precise fabrication of these intricate designs. This study uses 3D printing to create three types of structures from PLA: concave hexagonal, four‐directional chiral, and biomimetic feather structures. Tensile testing revealed that the concave hexagonal structure outperformed the others in mechanical strength. Finite element simulations confirmed its superior load‐bearing capacity during fracture. Additionally, fractal analysis showed the concave hexagonal structure had the highest fractal dimension in crack propagation, further validating its mechanical superiority. These findings highlight the concave hexagonal structure's advantages through experimental, numerical, and fractal analyses. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Fatigue & Fracture of Engineering Materials & Structures is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1111/ffe.14646
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 13
        StartPage: 2821
    Subjects:
      – SubjectFull: Poisson's ratio
        Type: general
      – SubjectFull: Complex geometry
        Type: general
      – SubjectFull: Three-dimensional printing
        Type: general
      – SubjectFull: Fractal dimensions
        Type: general
      – SubjectFull: Crack propagation
        Type: general
    Titles:
      – TitleFull: Fractal Analysis and Mechanical Characterization of 3D‐Printed Concave Hexagonal Structures With Negative Poisson's Ratio.
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            NameFull: Lin, Shiyun
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            NameFull: Ran, Menghao
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            NameFull: Jie, Donghang
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            NameFull: Yin, Dagang
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          Dates:
            – D: 01
              M: 07
              Text: Jul2025
              Type: published
              Y: 2025
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              Value: 48
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              Value: 7
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            – TitleFull: Fatigue & Fracture of Engineering Materials & Structures
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