In-plane elastic property prediction of straight-arc coupled auxetic structures
Auxetic metamaterials with two components exhibit a wide variety of potential engineering applications due to their exotic mechanical properties. In this work, a novel straight-arc coupled structure (SACS) is designed by introducing a circular arc structure to a classical re-entrant structure. This...
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| Published in | Journal of physics. D, Applied physics Vol. 56; no. 26; pp. 265301 - 265317 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
IOP Publishing
29.06.2023
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0022-3727 1361-6463 1361-6463 |
| DOI | 10.1088/1361-6463/acc74b |
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| Abstract | Auxetic metamaterials with two components exhibit a wide variety of potential engineering applications due to their exotic mechanical properties. In this work, a novel straight-arc coupled structure (SACS) is designed by introducing a circular arc structure to a classical re-entrant structure. This work aims to explore the linear and geometrical nonlinear mechanical of SACS at large strains. According to Castigliano’s second theorem, the in-plane linear theoretical model is established to obtain equivalent Poisson’s ratio and elastic modulus. A geometrical nonlinear model is further established based on large deflection theory and chain algorithm. The finite element method is used to verify the prediction of the theoretical solution, and linear and nonlinear mechanical properties of the SACS are studied by numerical simulation. The influence of geometric parameter re-entrant angle and arc radius on the mechanical properties of the SACS is investigated to compare the linear and nonlinear mechanical properties. The linear numerical simulation of SACS with two transverse ribs (SACS-TR) and classical re-entrant honeycomb structure with two transverse ribs (CRS-TR) is carried out to analyze the in-plane elastic properties. These results demonstrate that considering the geometric nonlinear model can predict the actual structural deformation more accurately, which is verified by the quasi-static compression experiment results at large strains. The SACS design can enhance the auxetic effect and structure Young’s moduli under the same dimension. |
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| AbstractList | Auxetic metamaterials with two components exhibit a wide variety of potential engineering applications due to their exotic mechanical properties. In this work, a novel straight-arc coupled structure (SACS) is designed by introducing a circular arc structure to a classical re-entrant structure. This work aims to explore the linear and geometrical nonlinear mechanical of SACS at large strains. According to Castigliano’s second theorem, the in-plane linear theoretical model is established to obtain equivalent Poisson’s ratio and elastic modulus. A geometrical nonlinear model is further established based on large deflection theory and chain algorithm. The finite element method is used to verify the prediction of the theoretical solution, and linear and nonlinear mechanical properties of the SACS are studied by numerical simulation. The influence of geometric parameter re-entrant angle and arc radius on the mechanical properties of the SACS is investigated to compare the linear and nonlinear mechanical properties. The linear numerical simulation of SACS with two transverse ribs (SACS-TR) and classical re-entrant honeycomb structure with two transverse ribs (CRS-TR) is carried out to analyze the in-plane elastic properties. These results demonstrate that considering the geometric nonlinear model can predict the actual structural deformation more accurately, which is verified by the quasi-static compression experiment results at large strains. The SACS design can enhance the auxetic effect and structure Young’s moduli under the same dimension. |
| Author | Zhang, Xiaolong Hao, Huanan Lu, Xuhao Tian, Ruilan |
| Author_xml | – sequence: 1 givenname: Xiaolong orcidid: 0000-0002-3319-7351 surname: Zhang fullname: Zhang, Xiaolong organization: State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University , Shijiazhuang 050043, People’s Republic of China – sequence: 2 givenname: Huanan orcidid: 0000-0003-2725-3457 surname: Hao fullname: Hao, Huanan organization: Hebei Key Laboratory of Mechanics of Intelligent Materials and Structures, Shijiazhuang Tiedao University Department of Engineering Mechanics, Shijiazhuang 050043, People’s Republic of China – sequence: 3 givenname: Xuhao surname: Lu fullname: Lu, Xuhao organization: Hebei Key Laboratory of Mechanics of Intelligent Materials and Structures, Shijiazhuang Tiedao University Department of Engineering Mechanics, Shijiazhuang 050043, People’s Republic of China – sequence: 4 givenname: Ruilan orcidid: 0000-0002-7727-7740 surname: Tian fullname: Tian, Ruilan organization: State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University , Shijiazhuang 050043, People’s Republic of China |
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| Title | In-plane elastic property prediction of straight-arc coupled auxetic structures |
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