Compression Deformation Prediction of Chiral Metamaterials: A Compression–Shear Coupling Model
Abstract
:1. Introduction
2. A Mechanical Model for Large Deformations of Chiral Metamaterials under Uniaxial Compression
2.1. Parametric Analysis of Chiral Metamaterials
2.2. Equilibrium Equations for the Ligament Beam
2.3. Elliptic Integral Theory for Solving Large Deformations of Ligament Beam
2.4. Small Deflection Deformation of the Ligament Beam
2.5. Analysis of Cell Deformation under Uniaxial Compression
3. Ductile Deformation of Annular Nodes
3.1. Radial and Tangential Deformation under Annular Node Ductile Deformation
3.2. Compression-Shear Deformation of a Chiral Single Cell
4. Deformation Behaviour Analysis of Chiral Metamaterials under Uniaxial Compression
4.1. Structural Design of Chiral Metamaterials
4.2. Compression-Shear Coupling Deformation of a Two-Dimensional Planar Structure
4.3. Compression-Torsion Coupling Deformation of a Cylindrical Shell Structure
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Combined Configurations | Theoretical Solutions | Radial Displacement at Point ‘1’ (mm) | Tangential Displacement at Point ‘1’ (mm) | Radial Displacement at Point ‘2’ (mm) | Tangential Displacement at Point ‘2’ (mm) |
---|---|---|---|---|---|
Elliptic integral solution | 5.06 | 0.36 | 6.02 | 1.17 | |
Annular node ductile deformation | −0.14 | 1.08 | 0.13 | 1.55 | |
Material properties | The material properties are photosensitive resin materials, the cell size is 30 mm × 30 mm, the Elastic modulus is 1404.70 MPa, and the Poisson’s ratio is 0.3. The diameter of the annular node is 16 mm, and the width of the ligament beam is 1 mm. |
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Zhou, X.; Liang, X.; Liu, Z.; Tao, C.; Li, H. Compression Deformation Prediction of Chiral Metamaterials: A Compression–Shear Coupling Model. Materials 2022, 15, 5180. https://doi.org/10.3390/ma15155180
Zhou X, Liang X, Liu Z, Tao C, Li H. Compression Deformation Prediction of Chiral Metamaterials: A Compression–Shear Coupling Model. Materials. 2022; 15(15):5180. https://doi.org/10.3390/ma15155180
Chicago/Turabian StyleZhou, Xin, Xi Liang, Zeliang Liu, Chenglin Tao, and Huijian Li. 2022. "Compression Deformation Prediction of Chiral Metamaterials: A Compression–Shear Coupling Model" Materials 15, no. 15: 5180. https://doi.org/10.3390/ma15155180