Buckling Enhancement Analysis of Auxetic Laminated Rectangular Plate under Uniaxial Compression
The buckling enhancement of the negative Poisson’s ratio (NPR) effect on a laminated plate under uniaxial compression with an in-plane translational restraint is investigated in this paper. According to the buckling equation of an orthotropic plate under biaxial compression, the critical buckling lo...
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MDPI AG
2023-05-01
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| Online Access: | https://www.mdpi.com/2076-3417/13/10/6244 |
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| author | Kai Wang Feng Wan Ling Luo Pengyu Cao Lei Han Peng Jin |
| author_facet | Kai Wang Feng Wan Ling Luo Pengyu Cao Lei Han Peng Jin |
| author_sort | Kai Wang |
| collection | DOAJ |
| description | The buckling enhancement of the negative Poisson’s ratio (NPR) effect on a laminated plate under uniaxial compression with an in-plane translational restraint is investigated in this paper. According to the buckling equation of an orthotropic plate under biaxial compression, the critical buckling load of an NPR-laminated composite under uniaxial compression can be increased due to the induced tension force on the unloaded direction. Instead of layer angles and stacking sequence, the NPR envelope and buckling load enhancement are studied using lamination parameters in this paper. The Poisson’s ratio contours are given in the feasible region of membrane lamination parameters. The results show that the negative Poisson’s ratios are more sensitive to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mi>V</mi><mn>3</mn><mi>A</mi></msubsup></mrow></semantics></math></inline-formula>, which represents the unbalance degree of the laminate. Furthermore, the buckling loads for various Poisson’s ratio layups are investigated, and it is concluded that the buckling load increases with a decrease in Poisson’s ratio for the laminated rectangular plate considering in-plane translational restraint. Finally, the inverse problem of deciding the laminate configuration to target the lamination parameters is solved using the particle swarm optimization (PSO) algorithm. |
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| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-11T03:57:59Z |
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| spelling | doaj.art-bb75d92aec4b4d6a99884ac998a7b53c2023-11-18T00:22:43ZengMDPI AGApplied Sciences2076-34172023-05-011310624410.3390/app13106244Buckling Enhancement Analysis of Auxetic Laminated Rectangular Plate under Uniaxial CompressionKai Wang0Feng Wan1Ling Luo2Pengyu Cao3Lei Han4Peng Jin5Aerospace Institute of Advanced Materials and Processing Technology, Beijing 100074, ChinaAerospace Institute of Advanced Materials and Processing Technology, Beijing 100074, ChinaAerospace Institute of Advanced Materials and Processing Technology, Beijing 100074, ChinaAerospace Institute of Advanced Materials and Processing Technology, Beijing 100074, ChinaAerospace Institute of Advanced Materials and Processing Technology, Beijing 100074, ChinaSchool of Aerospace Engineering, Huazhong University of Science & Technology, Wuhan 430074, ChinaThe buckling enhancement of the negative Poisson’s ratio (NPR) effect on a laminated plate under uniaxial compression with an in-plane translational restraint is investigated in this paper. According to the buckling equation of an orthotropic plate under biaxial compression, the critical buckling load of an NPR-laminated composite under uniaxial compression can be increased due to the induced tension force on the unloaded direction. Instead of layer angles and stacking sequence, the NPR envelope and buckling load enhancement are studied using lamination parameters in this paper. The Poisson’s ratio contours are given in the feasible region of membrane lamination parameters. The results show that the negative Poisson’s ratios are more sensitive to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mi>V</mi><mn>3</mn><mi>A</mi></msubsup></mrow></semantics></math></inline-formula>, which represents the unbalance degree of the laminate. Furthermore, the buckling loads for various Poisson’s ratio layups are investigated, and it is concluded that the buckling load increases with a decrease in Poisson’s ratio for the laminated rectangular plate considering in-plane translational restraint. Finally, the inverse problem of deciding the laminate configuration to target the lamination parameters is solved using the particle swarm optimization (PSO) algorithm.https://www.mdpi.com/2076-3417/13/10/6244bucklinglaminated structurenegative Poisson’s ratio (NPR)lamination parametersPSO |
| spellingShingle | Kai Wang Feng Wan Ling Luo Pengyu Cao Lei Han Peng Jin Buckling Enhancement Analysis of Auxetic Laminated Rectangular Plate under Uniaxial Compression Applied Sciences buckling laminated structure negative Poisson’s ratio (NPR) lamination parameters PSO |
| title | Buckling Enhancement Analysis of Auxetic Laminated Rectangular Plate under Uniaxial Compression |
| title_full | Buckling Enhancement Analysis of Auxetic Laminated Rectangular Plate under Uniaxial Compression |
| title_fullStr | Buckling Enhancement Analysis of Auxetic Laminated Rectangular Plate under Uniaxial Compression |
| title_full_unstemmed | Buckling Enhancement Analysis of Auxetic Laminated Rectangular Plate under Uniaxial Compression |
| title_short | Buckling Enhancement Analysis of Auxetic Laminated Rectangular Plate under Uniaxial Compression |
| title_sort | buckling enhancement analysis of auxetic laminated rectangular plate under uniaxial compression |
| topic | buckling laminated structure negative Poisson’s ratio (NPR) lamination parameters PSO |
| url | https://www.mdpi.com/2076-3417/13/10/6244 |
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