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椭圆负泊松比橡胶材料力学性能研究
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Abstract:
负泊松比结构具有特殊规变形行为和吸能特性，是一种具有广阔应用前景的新型结构。然而目前的研究大多仍停留在微观理论层面，对宏观力学性能的研究较少，因此本文提出了一种聚氨酯椭圆负泊松比结构(PES)，采用实验模拟与数值模拟的方法，与内凹负泊松比结构(PCS)进行力学对比以及分析长宽比对结构的影响，突出PES在承载吸能方面的优势，同时采用参数分析研究结构形式和材料属性对PES泊松比及弹性模量的影响，结构在高端装备制造、抗震隔振等领域的应用提供科学依据和技术支撑。
Negative Poisson’s ratio structure has special deformation behavior and energy absorption characteristics, which is a new structure with broad application prospects. However, most of the current research is still at the micro theoretical level, and there is less research on the macro mechanical properties. Therefore, this paper proposes a polyurethane elliptical negative Poisson’s ratio structure (PES), which uses the methods of experimental simulation and numerical simulation to carry out mechanical comparison with the concave negative Poisson’s ratio structure (PCS) and analyze the influence of length width ratio on the structure, highlighting the advantages of PEs in energy absorption, and using parameter analysis to study the influence of structural form and material properties on the Poisson’s ratio and elastic modulus of PES, so as to provide scientific basis and technical support for the application of the structure in high-end equipment manufacturing, seismic isolation and other fields.
| [1] | Ruzzene, M. (2004) Vibration and Sound Radiation of Sandwich Beams with Honeycomb Truss Core. Journal of Sound and Vibration, 277, 741-763. https://doi.org/10.1016/j.jsv.2003.09.026 |
| [2] | Cui, S., Gong, B., Ding, Q., Sun, Y., Ren, F., Liu, X., et al. (2018) Mechanical Metamaterials Foams with Tunable Negative Poisson’s Ratio for Enhanced Energy Absorption and Damage Resistance. Materials, 11, Article No. 1869. https://doi.org/10.3390/ma11101869 |
| [3] | Carneiro, V.H., Puga, H. and Meireles, J. (2019) Positive, Zero and Negative Poisson’s Ratio Non-Stochastic Metallic Cellular Solids: Dependence between Static and Dynamic Mechanical Properties. Composite Structures, 226, Article ID: 111239. https://doi.org/10.1016/j.compstruct.2019.111239 |
| [4] | Wang, C., Wang, W., Zhao, W., Li, Y. and Zhou, G. (2017) Reliability Optimization of a Novel Negative Poisson’s Ratio Forepart for Pedestrian Protection. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 232, 2998-3012. https://doi.org/10.1177/0954406217730441 |
| [5] | Lin, C., Zhang, L., Liu, Y., Liu, L. and Leng, J. (2020) 4D Printing of Personalized Shape Memory Polymer Vascular Stents with Negative Poisson’s Ratio Structure: A Preliminary Study. Science China Technological Sciences, 63, 578-588. https://doi.org/10.1007/s11431-019-1468-2 |
| [6] | Huang, C. and Chen, L. (2016) Negative Poisson’s Ratio in Modern Functional Materials. Advanced Materials, 28, 8079-8096. https://doi.org/10.1002/adma.201601363 |
| [7] | Saxena, K.K., Das, R. and Calius, E.P. (2016) Three Decades of Auxetics Research—Materials with Negative Poisson’s Ratio: A Review. Advanced Engineering Materials, 18, 1847-1870. https://doi.org/10.1002/adem.201600053 |
| [8] | Pasternak, E. and Dyskin, A.V. (2012) Materials and Structures with Macroscopic Negative Poisson’s Ratio. International Journal of Engineering Science, 52, 103-114. https://doi.org/10.1016/j.ijengsci.2011.11.006 |
| [9] | Lu, H., Wang, X. and Chen, T. (2021) In-plane Dynamics Crushing of a Combined Auxetic Honeycomb with Negative Poisson’s Ratio and Enhanced Energy Absorption. Thin-Walled Structures, 160, Article ID: 107366. https://doi.org/10.1016/j.tws.2020.107366 |
| [10] | Tao, Z., Zhu, C., He, M. and Karakus, M. (2021) A Physical Modeling-Based Study on the Control Mechanisms of Negative Poisson’s Ratio Anchor Cable on the Stratified Toppling Deformation of Anti-Inclined Slopes. International Journal of Rock Mechanics and Mining Sciences, 138, Article ID: 104632. https://doi.org/10.1016/j.ijrmms.2021.104632 |
| [11] | Jha, A., Cimolai, G. and Dayyani, I. (2024) Crashworthiness and Dimensional Stability Analysis of Zero Poisson’s Ratio Fish Cells Lattice Structures. International Journal of Impact Engineering, 184, Article ID: 104809. https://doi.org/10.1016/j.ijimpeng.2023.104809 |
| [12] | He, Y., Bi, Z., Wang, T., Wang, L., Lu, G., Cui, Y., et al. (2024) Design and Mechanical Properties Analysis of Hexagonal Perforated Honeycomb Metamaterial. International Journal of Mechanical Sciences, 270, Article ID: 109091. https://doi.org/10.1016/j.ijmecsci.2024.109091 |
| [13] | Jiao, C. and Yan, G. (2021) Design and Elastic Mechanical Response of a Novel 3D-Printed Hexa-Chiral Helical Structure with Negative Poisson’s Ratio. Materials & Design, 212, Article ID: 110219. https://doi.org/10.1016/j.matdes.2021.110219 |
| [14] | Peng, X., Cao, X., Wang, Y., Dong, Y., Li, Z., Xu, H., et al. (2023) Design, Microstructure, and Mechanical Property of Negative Poisson’s Ratio Porous Structure Fabricated by LPBF of Alcocrfeni2.1 Eutectic High-Entropy-Alloy. Journal of Materials Research and Technology, 24, 2028-2040. https://doi.org/10.1016/j.jmrt.2023.03.104 |
| [15] | Afdhal, Jirousek, O., Falta, J., Dwianto, Y.B. and Palar, P.S. (2024) Discovering Chiral Auxetic Structures with Near-Zero Poisson’s Ratio Using an Active Learning Strategy. Materials & Design, 244, Article ID: 113133. https://doi.org/10.1016/j.matdes.2024.113133 |
| [16] | Cabeza-Lainez, J. (2021) Architectural Characteristics of Different Configurations Based on New Geometric Determinations for the Conoid. Buildings, 12, Article No. 10. https://doi.org/10.3390/buildings12010010 |
| [17] | Cheng, S. and Zhou, H. (2024) Buildings: Special Issue on Advancement in Research on Structural Dynamics and Health Monitoring. Buildings, 14, Article No. 3833. https://doi.org/10.3390/buildings14123833 |
| [18] | Choo, J., Mohammed, B.S., Chen, P., Abdulkadir, I. and Yan, X. (2022) Modeling and Optimizing the Effect of 3D Printed Origami Bubble Aggregate on the Mechanical and Deformation Properties of Rubberized ECC. Buildings, 12, Article No. 2201. https://doi.org/10.3390/buildings12122201 |
| [19] | Zhou, Y., Zhong, Y., Tang, Y. and Liu, R. (2024) Static and Dynamic Characteristics of 3D-Printed Orthogonal Hybrid Honeycomb Panels with Tunable Poisson’s Ratio. Buildings, 14, Article No. 2704. https://doi.org/10.3390/buildings14092704 |
| [20] | Ju, H., Xu, M., Xu, B., Fu, M., Zeng, K. and Jiang, H. (2024) Stress Analysis of a Concrete Pipeline in a Semi-Infinite Seabed under the Action of Elliptical Cosine Waves Based on the Seepage Equation. Buildings, 14, Article No. 2426. https://doi.org/10.3390/buildings14082426 |
| [21] | Kamali, A., Sarabian, M. and Laksari, K. (2023) Elasticity Imaging Using Physics-Informed Neural Networks: Spatial Discovery of Elastic Modulus and Poisson’s Ratio. Acta Biomaterialia, 155, 400-409. https://doi.org/10.1016/j.actbio.2022.11.024 |
| [22] | Suryadi, F., Jonathan, S., Jonatan, K. and Ohyver, M. (2023) Handling Overdispersion in Poisson Regression Using Negative Binomial Regression for Poverty Case in West Java. Procedia Computer Science, 216, 517-523. https://doi.org/10.1016/j.procs.2022.12.164 |
| [23] | Liu, X., Zhao, H., Tang, Y., Chen, C., Zhu, Y., Song, B., et al. (2024) Few-Shot Learning-Based Generative Design of Metamaterials with Zero Poisson’s Ratio. Materials & Design, 244, Article ID: 113224. https://doi.org/10.1016/j.matdes.2024.113224 |
| [24] | Chen, P. (2024) Nearly Zero Poisson’s Ratio and Spin-State-Controlled Magnetoelastic Response in an RKKY-Mediated Two-Dimensional Magnetic Metal-Organic Framework. Results in Physics, 61, Article ID: 107726. https://doi.org/10.1016/j.rinp.2024.107726 |
| [25] | Guo, A., He, M., Liu, S., Du, Z., Lyu, Z. and Tao, Z. (2024) Negative Poisson’s Ratio Cable Compensation Support for 32 m Super-Large-Span Highway Tunnel: A Case Study. Underground Space, 14, 156-175. https://doi.org/10.1016/j.undsp.2023.07.001 |
| [26] | Lipsett, A.W. and Beltzer, A.I. (1988) Reexamination of Dynamic Problems of Elasticity for Negative Poisson’s Ratio. The Journal of the Acoustical Society of America, 84, 2179-2186. https://doi.org/10.1121/1.397064 |
| [27] | Jiang, X., Liu, F. and Wang, L. (2023) Machine Learning-Based Stiffness Optimization of Digital Composite Metamaterials with Desired Positive or Negative Poisson’s Ratio. Theoretical and Applied Mechanics Letters, 13, Article ID: 100485. https://doi.org/10.1016/j.taml.2023.100485 |
| [28] | Poźniak, A.A., Wojciechowski, K.W., Grima, J.N. and Mizzi, L. (2016) Planar Auxeticity from Elliptic Inclusions. Composites Part B: Engineering, 94, 379-388. https://doi.org/10.1016/j.compositesb.2016.03.003 |
| [29] | Ellul, B., Muscat, M. and Grima, J.N. (2009) On the Effect of the Poisson’s Ratio (Positive and Negative) on the Stability of Pressure Vessel Heads. Physica Status Solidi (B), 246, 2025-2032. https://doi.org/10.1002/pssb.200982033 |
| [30] | Bezazi, A. and Scarpa, F. (2007) Mechanical Behaviour of Conventional and Negative Poisson’s Ratio Thermoplastic Polyurethane Foams under Compressive Cyclic Loading. International Journal of Fatigue, 29, 922-930. https://doi.org/10.1016/j.ijfatigue.2006.07.015 |
| [31] | Yang, L., Ye, M., Huang, Y. and Dong, J. (2023) Mechanics Characteristics of a 3D Star-Shaped Negative Poisson’s Ratio Composite Structure. Materials, 16, Article No. 3950. https://doi.org/10.3390/ma16113950 |
| [32] | Donadini, R., Roso, M., Covassin, A., Penzo, D., Del Bianco, G., Romagnano, S., et al. (2024) Closing the Loop of Polyurethane Adhesives: Acidolysis Process Optimization. International Journal of Adhesion and Adhesives, 135, Article ID: 103843. https://doi.org/10.1016/j.ijadhadh.2024.103843 |
| [33] | Gao, H., Liu, L., Yang, W., Dong, Y. and Liu, H. (2024) Experimental Study on Mechanical Properties of Polyurethane-Based Composites. Case Studies in Construction Materials, 21, e03907. https://doi.org/10.1016/j.cscm.2024.e03907 |
| [34] | Yaseen, A., Umair, M., Rehan, Z.A., Alahmari, L.A. and Fayad, E. (2024) Fabrication of Novel Polyurethane Matrix-Based Functional Composites with Enhanced Mechanical Performance. Results in Engineering, 24, Article ID: 103134. https://doi.org/10.1016/j.rineng.2024.103134 |
| [35] | Campana, F., Brufani, G., Mauriello, F., Luque, R. and Vaccaro, L. (2024) Green Polyurethanes from Bio-Based Building Blocks: Recent Advances and Applications. Green Synthesis and Catalysis. https://doi.org/10.1016/j.gresc.2024.08.001 |
| [36] | Gibson, L.J. (2003) Cellular Solids. MRS Bulletin, 28, 270-274. https://doi.org/10.1557/mrs2003.79 |
| [37] | Zhao, Y., Wang, Y., Hao, J., Wang, Y., Wang, K. and Tai, S. (2023) Study on Mechanical Properties of Cellular Structures with Negative Poisson’s Ratio Based on the Development of Abaqus Plug-In Tool. Composite Structures, 322, Article ID: 117348. https://doi.org/10.1016/j.compstruct.2023.117348 |
| [38] | Lakes, R.S. (2017) Negative-Poisson’s-Ratio Materials: Auxetic Solids. Annual Review of Materials Research, 47, 63-81. https://doi.org/10.1146/annurev-matsci-070616-124118 |
| [39] | Peng, X. and Bargmann, S. (2021) A Novel Hybrid-Honeycomb Structure: Enhanced Stiffness, Tunable Auxeticity and Negative Thermal Expansion. International Journal of Mechanical Sciences, 190, Article ID: 106021. https://doi.org/10.1016/j.ijmecsci.2020.106021 |
| [40] | Wei, K., Peng, Y., Qu, Z., Pei, Y. and Fang, D. (2018) A Cellular Metastructure Incorporating Coupled Negative Thermal Expansion and Negative Poisson’s Ratio. International Journal of Solids and Structures, 150, 255-267. https://doi.org/10.1016/j.ijsolstr.2018.06.018 |
| [41] | Cardoso, J.O., Catatão, G., Borges, J.P. and Velhinho, A. (2024) Experimental Study of Double-Elliptic-Ring-Based Thermomechanical Metamaterials’ Behaviour. International Journal of Mechanical Sciences, 281, Article ID: 109552. https://doi.org/10.1016/j.ijmecsci.2024.109552 |
| [42] | Li, Z., Gao, W., Kessissoglou, N., Oberst, S., Wang, M.Y. and Luo, Z. (2023) Multifunctional Mechanical Metamaterials with Tunable Double-Negative Isotropic Properties. Materials & Design, 232, Article ID: 112146. https://doi.org/10.1016/j.matdes.2023.112146 |
| [43] | Lepitre, P., Merlet, L., Doudard, C., Dhondt, M., Surand, M. and Calloch, S. (2024) Influence of Shot-Peening on the Self-Heating Behavior and Fatigue Properties of 300M Steel. Mechanics of Materials, 199, Article ID: 105174. https://doi.org/10.1016/j.mechmat.2024.105174 |
| [44] | Sun, Y., Zhou, Q., Niu, W., Zhang, S., Yick, K., Gu, B., et al. (2024) 3D Printed Sports Shoe Midsoles: Enhancing Comfort and Performance through Finite Element Analysis of Negative Poisson’s Ratio Structures. Materials & Design, 245, Article ID: 113292. https://doi.org/10.1016/j.matdes.2024.113292 |
| [45] | Ren, L., Zhang, X., Li, Z., Sun, Y. and Tan, Y. (2025) A Novel Negative Poisson’s Ratio Structure with High Poisson’s Ratio and High Compression Resistance and Its Application in Magnetostrictive Sensors. Composite Structures, 351, Article ID: 118599. https://doi.org/10.1016/j.compstruct.2024.118599 |
| [46] | Ali, M.N. and Rehman, I.U. (2011) An Auxetic Structure Configured as Oesophageal Stent with Potential to Be Used for Palliative Treatment of Oesophageal Cancer; Development and in Vitro Mechanical Analysis. Journal of Materials Science: Materials in Medicine, 22, 2573-2581. https://doi.org/10.1007/s10856-011-4436-y |
| [47] | Li, Q., Wang, Z., Mao, X. and Yang, D. (2024) Underwater Cylindrical Sandwich Meta-Structures Composed of Graded Semi Re-Entrant Zero Poisson’s Ratio Metamaterials with Pre-Strained Wave Propagation Properties. Journal of Ocean Engineering and Science, 9, 541-553. https://doi.org/10.1016/j.joes.2023.02.002 |
