Multi-objective optimization of arc star honeycomb and bidirectional reentrant honeycomb using NSGA-II
Source abstract
Abstract
In this paper, the multi-objective optimization design of arc star honeycomb (ASH) and bi-directional reentrant honeycomb (BRH) is carried out by Python script to improve Young`s modulus based on the lightweight of the honeycomb. A large number of models of different structural parameters are established by the Python script and analyzed by the finite element method, and then the response surface model (RSM) is established according to the results of finite element analysis. On this basis, the non-dominated sorting genetic algorithm (NSGA-II) and RSM are combined to perform multi-objective optimization of the 2D and 3D configurations of the two types of honeycomb, and the optimal set of parameters is selected by comparing the individual fitness values. The results show that after multi-objective optimization, Young`s modulus of the ASH and BRH is enhanced in both 2D and 3D configurations with the smallest possible mass. In addition, the ASH has performance advantages over the BRH in 2D configuration, and BRH is better in 3D configuration. It can also be observed that the ASH and BRH have Poisson ratio adjustable properties. The results also show that this multi-objective optimization method can effectively save the analysis and calculation time. The lightweight, high-strength metamaterial is expected to be used in key fields such as aerospace.
Source: expertdata · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Cellular and Composite Structures · Acoustic Wave Phenomena Research · Engineering Applied Research
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (42)
Show source-provided references
1. Alderson, A., Alderson, K.L., Attard, D., Evans, K.E., Gatt, R., Grima, J.N., et al.: Elastic constants of 3-, 4- and 6-connected chiral and anti-chiral honeycombs subject to uniaxial in-plane loading. Compos. Sci. Technol. 70(7), 1042–1048 (2010)10.1016/j.compscitech.2009.07.009 ↗
2. Chang, Y., Wang, H., Dong, Q.: Machine learning-based inverse design of auxetic metamaterial with zero Poisson’s ratio. Mater. Today Commun. 30, 103186 (2022)10.1016/j.mtcomm.2022.103186 ↗
3. Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6(2), 182–197 (2002)10.1109/4235.996017 ↗
4. Deng, H., Cheng, L., Liang, X., Hayduke, D., To, A.C.: Topology optimization for energy dissipation design of lattice structures through snap-through behavior. Comput. Methods Appl. Mech. Eng. 358, 112641 (2020)10.1016/j.cma.2019.112641 ↗
5. Fan, C.Z., Gao, Y., Huang, J.P.: Shaped graded materials with an apparent negative thermal conductivity. Appl. Phys. Lett. 92(25), 251907 (2008)10.1063/1.2951600 ↗
6. Grima, J.N., Gatt, R.: Perforated sheets exhibiting negative Poisson’s ratios. Adv. Eng. Mater. 12(6), 460–464 (2010)10.1002/adem.201000005 ↗
7. Grima, J.N., Gatt, R., Alderson, A., Evans, K.E.: On the potential of connected stars as auxetic systems. Mol. Simul. 31(13), 925–935 (2005)10.1080/08927020500401139 ↗
8. Grima, J.N., Farrugia, P.-S., Gatt, R., Attard, D.: On the auxetic properties of rotating rhombi and parallelograms: a preliminary investigation. Physica Status Solidi (b) 245(3), 521–529 (2008)10.1002/pssb.200777705 ↗
9. Khorasaninejad, M., Chen, W.T., Devlin, R.C., Oh, J., Zhu, A.Y., Capasso, F.: Metalenses at visible wavelengths: diffraction-limited focusing and subwavelength resolution imaging. Science 352(6290), 1190–1194 (2016)10.1126/science.aaf6644 ↗
10. Körner, C., Liebold-Ribeiro, Y.: A systematic approach to identify cellular auxetic materials. Smart Mater. Struct. 24(2), 025013 (2014)10.1088/0964-1726/24/2/025013 ↗
11. Lakes, R.: Foam structures with a negative Poisson’s ratio. Science 235(4792), 1038–1040 (1987)10.1126/science.235.4792.1038 ↗
12. Lakes, R.: Deformation mechanisms in negative Poisson’s ratio materials: structural aspects. J. Mater. Sci. 26(9), 2287–2292 (1991)10.1007/BF01130170 ↗
13. Lakes, R.S.: Negative-Poisson’s-ratio materials: auxetic solids. Annu. Rev. Mater. Res. 47(1), 63–81 (2017)10.1146/annurev-matsci-070616-124118 ↗
14. Larsen, U.D., Signund, O., Bouwsta, S.: Design and fabrication of compliant micromechanisms and structures with negative Poisson’s ratio. J. Microelectromech. Syst. 6(2), 99–106 (1997)10.1109/84.585787 ↗
15. Li, J.Y., Gao, Y., Huang, J.P.: A bifunctional cloak using transformation media. J. Appl. Phys. 108(7), 074504 (2010)10.1063/1.3490226 ↗
16. Li, D., Yin, J., Dong, L., Lakes, R.S.: Numerical analysis on mechanical behaviors of hierarchical cellular structures with negative Poisson’s ratio. Smart Mater. Struct. 26(2), 025014 (2016)10.1088/1361-665X/26/2/025014 ↗
17. Li, C., Shen, H.-S., Wang, H.: Nonlinear dynamic response of sandwich beams with functionally graded negative Poisson’s ratio honeycomb core. Eur. Phys. J. Plus 134(2), 79 (2019)10.1140/epjp/i2019-12572-7 ↗
18. Liu, Z., Zhang, X., Mao, Y., Zhu, Y.Y., Yang, Z., Chan, C.T., et al.: Locally resonant sonic materials. Science 289(5485), 1734–1736 (2000)10.1126/science.289.5485.1734 ↗
19. Liu, R., Ji, C., Mock, J.J., Chin, J.Y., Cui, T.J., Smith, D.R.: Broadband ground-plane cloak. Science 323(5912), 366–369 (2009)10.1126/science.1166949 ↗
20. Malkiel, I., Mrejen, M., Nagler, A., Arieli, U., Wolf, L., Suchowski, H.: Plasmonic nanostructure design and characterization via Deep Learning. Light Sci. Appl. 7(1), 60 (2018)10.1038/s41377-018-0060-7 ↗
21. Meza, L.R., Zelhofer, A.J., Clarke, N., Mateos, A.J., Kochmann, D.M., Greer, J.R.: Resilient 3D hierarchical architected metamaterials. Proc. Natl. Acad. Sci. 112(37), 11502–11507 (2015)10.1073/pnas.1509120112 ↗
22. Mizzi, L., Azzopardi, K.M., Attard, D., Grima, J.N., Gatt, R.: Auxetic metamaterials exhibiting giant negative Poisson’s ratios. Physica Status Solidi RRL Rapid Res. Lett. 9(7), 425–430 (2015)10.1002/pssr.201510178 ↗
23. Narayana, S., Sato, Y.: Heat flux manipulation with engineered thermal materials. Phys. Rev. Lett. 108(21), 214303 (2012)10.1103/PhysRevLett.108.214303 ↗
24. Peng, Y., Wei, K., Mei, M., Yang, X., Fang, D.: Simultaneously program thermal expansion and Poisson’s ratio in three dimensional mechanical metamaterial. Compos. Struct. 262, 113365 (2021)10.1016/j.compstruct.2020.113365 ↗
25. Qin, H., Yang, D., Ren, C.: Modelling theory of functional element design for metamaterials with arbitrary negative Poisson’s ratio. Comput. Mater. Sci. 150, 121–133 (2018)10.1016/j.commatsci.2018.03.056 ↗
26. Rafsanjani, A., Pasini, D.: Bistable auxetic mechanical metamaterials inspired by ancient geometric motifs. Extreme Mech. Lett. 9, 291–296 (2016)10.1016/j.eml.2016.09.001 ↗
27. Shelby, R.A., Smith, D.R., Nemat-Nasser, S.C., Schultz, S.: Microwave transmission through a two-dimensional, isotropic, left-handed metamaterial. Appl. Phys. Lett. 78(4), 489–491 (2001)10.1063/1.1343489 ↗
28. Sun, D., Zhang, W., Zhao, Y., Li, G., Xing, Y., Gong, G.: In-plane crushing and energy absorption performance of multi-layer regularly arranged circular honeycombs. Compos. Struct. 96, 726–735 (2013)10.1016/j.compstruct.2012.10.008 ↗
29. Surjadi, J.U., Gao, L., Du, H., Li, X., Xiong, X., Fang, N.X., et al.: Mechanical metamaterials and their engineering applications. Adv. Eng. Mater. 21(3), 1800864 (2019)10.1002/adem.201800864 ↗
30. Tao, Y., Chen, M., Chen, H., Pei, Y., Fang, D.: Strain rate effect on the out-of-plane dynamic compressive behavior of metallic honeycombs: experiment and theory. Compos. Struct. 132, 644–651 (2015)10.1016/j.compstruct.2015.06.015 ↗
31. Wang, L., Liu, H.-T.: 3D compression–torsion cubic mechanical metamaterial with double inclined rods. Extreme Mech. Lett. 37, 100706 (2020)10.1016/j.eml.2020.100706 ↗
32. Wang, L., Liu, H.-T.: Parameter optimization of bidirectional re-entrant auxetic honeycomb metamaterial based on genetic algorithm. Compos. Struct. 267, 113915 (2021)10.1016/j.compstruct.2021.113915 ↗
33. Wang, C., Zou, S., Zhao, W.: Multi-objective optimization of a novel crash box with a three-dimensional negative Poisson’s ratio inner core. Proc. Inst. Mech. Eng. Part D J. Automob. Eng. 233(2), 263–275 (2019)10.1177/0954407017741780 ↗
34. Wang, W., Dai, S., Zhao, W., Wang, C., Ma, T., Chen, Q.: Reliability-based optimization of a novel negative Poisson’s ratio door anti-collision beam under side impact. Thin Walled Struct 154, 106863 (2020)10.1016/j.tws.2020.106863 ↗
35. Warmuth, F., Osmanlic, F., Adler, L., Lodes, M.A., Körner, C.: Fabrication and characterisation of a fully auxetic 3D lattice structure via selective electron beam melting. Smart Mater. Struct. 26(2), 025013 (2016)10.1088/1361-665X/26/2/025013 ↗
36. Wu, J., Ma, F., Zhang, S., Shen, L.: Application of acoustic metamaterials in low-frequency vibration and noise reduction. J. Mech. Eng 52(13), 68–78 (2016)10.3901/JME.2016.13.068 ↗
37. Xu, S., Beynon, J.H., Ruan, D., Lu, G.: Experimental study of the out-of-plane dynamic compression of hexagonal honeycombs. Compos. Struct. 94(8), 2326–2336 (2012)10.1016/j.compstruct.2012.02.024 ↗
38. Yablonovitch, E., Gmitter, T.J., Leung, K.M.: Photonic band structure: the face-centered-cubic case employing nonspherical atoms. Phys. Rev. Lett. 67(17), 2295–2298 (1991)10.1103/PhysRevLett.67.2295 ↗
39. Yu, X., Zhou, J., Liang, H., Jiang, Z., Wu, L.: Mechanical metamaterials associated with stiffness, rigidity and compressibility: a brief review. Prog. Mater Sci. 94, 114–173 (2018)10.1016/j.pmatsci.2017.12.003 ↗
40. Zhang, Z.-Y., Li, J., Liu, H.-T., Wang, Y.-B.: Novel 2D arc-star-shaped structure with tunable Poisson’s ratio and its 3D configurations. Mater. Today Commun. 30, 103016 (2022)10.1016/j.mtcomm.2021.103016 ↗
41. Zheng, X., Smith, W., Jackson, J., Moran, B., Cui, H., Chen, D., et al.: Multiscale metallic metamaterials. Nat. Mater. 15(10), 1100–1106 (2016)10.1038/nmat4694 ↗
42. Zigoneanu, L., Popa, B.-I., Cummer, S.A.: Three-dimensional broadband omnidirectional acoustic ground cloak. Nat. Mater. 13(4), 352–355 (2014)10.1038/nmat3901 ↗