Investigating mechanical properties and bending behavior of an auxetic plate with 4-star unit cell

References

• Chen, Y., and Q. He. 2020. “3D-Printed Short Carbon Fibre Reinforced Perforated Structures with Negative Poisson’s Ratios: Mechanisms and Design.” Composite Structures 236: 111859. https://doi.org/10.1016/j.compstruct.2020.111859
   Web of Science ®Google Scholar
• Doyoyo, M., and J. Wanhu. 2006. “Plastic Failure Analysis of an Auxetic Foam or Inverted Strut Lattice under Longitudinal and Shear Loads.” Journal of the Mechanics and Physics of Solids 54 (7): 1479–1492. https://doi.org/10.1016/j.jmps.2005.12.007
   Web of Science ®Google Scholar
• Duc, N. D., and P. H. Cong. 2018. “Nonlinear Dynamic Response and Vibration of Sandwich Composite Plates with Negative Poisson’s Ratio in Auxetic Honeycombs.” Journal of Sandwich Structures and Materials 20 (6): 692–717. https://doi.org/10.1177/1099636216674729
   Web of Science ®Google Scholar
• Dutta, S., H. G. Menon, M. P. Hariprasad, A. Krishnan, and B. Shankar. 2021. “Study of Auxetic Beams under Bending: A Finite Element Approach.” Materials Today: Proceedings 46: 9782–9787. https://doi.org/10.1016/j.matpr.2020.10.479
   Google Scholar
• Evans, K. E., and A. Alderson. 2000. “Auxetic Materials: Functional Materials and Structures from Lateral Thinking.” Advanced Materials 12 (9): 617–628. https://doi.org/10.1002/(SICI)1521-4095(200005)12:9<617::AID-ADMA617>3.0.CO;2-3
   Web of Science ®Google Scholar
• Gonella, S., and M. Ruzzene. 2008. “Analysis of in-Plane Wave Propagation in Hexagonal and Re-Entrant Lattices.” Journal of Sound Vibrations 312 (1–2): 125–139. https://doi.org/10.1016/j.jsv.2007.10.033
   Web of Science ®Google Scholar
• Grima, J. N., R. Gatt, A. Alderson, and K. E. Evans. 2005. “On the Potential of Connected Stars as Auxetic Systems.” Molecular Simulation 31 (13): 925–935. https://doi.org/10.1080/08927020500401139
   Web of Science ®Google Scholar
• Harris, J. A., and G. J. McShane. 2020. “Metallic Stacked Origami Cellular Materials: Additive Manufacturing, Properties, and Modelling.” International Journal of Solids and Structures 185–186: 448–466. https://doi.org/10.1016/j.ijsolstr.2019.09.007
   Web of Science ®Google Scholar
• Hou, Y., Y. H. Tai, C. Lira, F. Scarpa, J. R. Yates, and B. Gu. 2013. “The Bending and Failure of Sandwich Structures with Auxetic Gradient Cellular Cores.” Composites Part A: Applied Science and Manufacturing 49: 119–131. https://doi.org/10.1016/j.compositesa.2013.02.007
   Web of Science ®Google Scholar
• Jiang, Y., and Y. Li. 2018. “Novel 3D-Printed Hybrid Auxetic Mechanical Metamaterial with Chirality-Induced Sequential Cell Opening Mechanisms.” Advanced Engineering Materials 20 (2): 1700744. https://doi.org/10.1002/adem.201700744
   Web of Science ®Google Scholar
• Li, C., H. S. Shen, and H. Wang. 2020. “Postbuckling Behavior of Sandwich Plates with Functionally Graded Auxetic 3D Lattice Core.” Composite Structures 237: 111894. https://doi.org/10.1016/j.compstruct.2020.111894
   Web of Science ®Google Scholar
• Li, T., Y. Chen, X. Hu, Y. Li, and L. Wang. 2018. “Exploiting Negative Poisson’s Ratio to Design 3D-Printed Composites with Enhanced Mechanical Properties.” Materials and Design 142: 247–258. https://doi.org/10.1016/j.matdes.2018.01.034
   Web of Science ®Google Scholar
• Meng, J., Z. Deng, K. Zhang, X. Xu, and F. Wen. 2015. “Band Gap Analysis of Star-Shaped Honeycombs with Varied Poisson’s Ratio.” Smart Materials and Structures 24 (9): 095011. https://doi.org/10.1088/0964-1726/24/9/095011
   Web of Science ®Google Scholar
• Nguyen, N. V., H. Nguyen-Xuan, T. N. Nguyen, J. Kang, and J. Lee. 2021. “A Comprehensive Analysis of Auxetic Honeycomb Sandwich Plates with Graphene Nanoplatelets Reinforcement.” Composite Structures. 259: 113213. https://doi.org/10.1016/j.compstruct.2020.113213
   Web of Science ®Google Scholar
• Quan, T. Q., V. M. Anh, V. Mahesh, and N. D. Duc. 2020. “Vibration and Nonlinear Dynamic Response of Imperfect Sandwich Piezoelectric Auxetic Plate.” Mechanics of Advanced Materials and Structures. 29 (1): 127–137. https://doi.org/10.1080/15376494.2020.1752864
   Web of Science ®Google Scholar
• Reddy, J. N. 2006. Theory and Analysis of Elastic Plates and Shells, 2nd ed. Boca Raton, FL: CRC Press. https://doi.org/10.1201/9780849384165.
   Google Scholar
• Shokri Rad, M., Y. Prawoto, and Z. Ahmad. 2014. “Analytical Solution and Finite Element Approach to the 3D Re-Entrant Structures of Auxetic Materials.” Mechanics of Materials. 74: 76–87. https://doi.org/10.1016/j.mechmat.2014.03.012
   Web of Science ®Google Scholar
• Wang, Y. C., M. W. Shen, and S. M. Liao. 2017. “Microstructural Effects on the Poisson’s Ratio of Star-Shaped Two-Dimensional Systems.” Physica Status Solidi (B) 254 (12): 1700024. https://doi.org/10.1002/pssb.201700024
   Web of Science ®Google Scholar
• Xu, N., H. T. Liu, M. R. An, and L. Wang. 2021. “Novel 2D Star-Shaped Honeycombs with Enhanced Effective Young’s Modulus and Negative Poisson’s Ratio.” Extreme Mechanics Letters 43: 101164. https://doi.org/10.1016/j.eml.2020.101164
   Web of Science ®Google Scholar
• Yan, J., S. Yi, and X. Yuan. 2024. “Graphene and Its Composites: A Review of Recent Advances and Applications in Logistics Transportation.” Packaging Technology and Science 37 (4): 335–361. https://doi.org/10.1002/pts.2795
   Web of Science ®Google Scholar
• Yang, C., H. D. Vora, and Y. Chang. 2018. “Behavior of Auxetic Structures under Compression and Impact Forces.” Smart Materials and Structures 27 (2): 025012. https://doi.org/10.1088/1361-665X/aaa3cf
   Web of Science ®Google Scholar
• Yeh, J. Y. 2020. “Vibration and Wave Propagation Characteristic Analysis of Periodic Auxetic Star-Shaped Structure System.” Materials Science Forum 1009: 101–106. www.scientific.net/msf.1009.101. https://doi.org/10.4028/www.scientific.net/MSF.1009.101
   Google Scholar
• Zhang, J., G. Lu, and Z. You. 2020. “Large Deformation and Energy Absorption of Additively Manufactured Auxetic Materials and Structures: A Review.” Composites Part B: Engineering 201: 108340. https://doi.org/10.1016/j.compositesb.2020.108340
   Web of Science ®Google Scholar
• Zhang, J., G. Lu, D. Ruan, and Z. Wang. 2018. “Tensile Behavior of an Auxetic Structure: Analytical Modeling and Finite Element Analysis.” International Journal of Mechanical Sciences. 136: 143–154. https://doi.org/10.1016/j.ijmecsci.2017.12.029
   Web of Science ®Google Scholar
• Zhu, C. X., J. W. Yan, P. Y. Wang, and C. Li. 2021. “A Nonlocal Strain Gradient Approach for out-of-Plane Vibration of Axially Moving Functionally Graded Nanoplates in a Hygrothermal Environment.” Shock and Vibration. 2021: 1–19. https://doi.org/10.1155/2021/8332125
   Web of Science ®Google Scholar