Abstract
Chiral honeycomb structures have been developed in recent years, showing excellent mechanical properties, including in-plane deformation and out-of-plane bearing and vibration isolation. In this study, the 65Mn chiral structure with three ligaments was modeled and analyzed using the finite element (FE) method. The effects of the dimensionless ligament length and dimensionless ligament thickness on the in-plane equivalent elastic modulus, equivalent Poisson’s ratio, and out-of-plane shear modulus were studied. The numerical results indicate that increase of the dimensionless ligament length leads to decrease of the equivalent elastic modulus and increase of the equivalent Poisson’s ratio, whereas the out-of-plane equivalent shear modulus decreases. The results also indicate that increase of the dimensionless ligament thickness leads to increase of the equivalent elastic modulus, whereas the equivalent Poisson’s ratio remains nearly unchanged and the out-of-plane equivalent shear modulus shows a linear increase. The numerical results are verified by comparison with published experimental data. These results will provide a reference for the application of chiral structures with three ligaments in the aerospace field.
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References
Song, D., Xiao, X., Xue, J., et al.: Mechanical properties of irradiated multi-phase polycrystalline BCC materials. Acta Mech. Sin. 31, 191–204 (2015)
Fu, L., Wang, W.: The equivalent calculation and experimental study of honeycomb sandwich plates for satellite. Sci. Technol. Eng. 8, 6429–6432 (2008)
Spodoni, A., Ruzzene, M.: Numerical and experimental analysis of the static compliance of chiral truss-core airfoils. J. Mech. Mater. Struct. 2, 965–981 (2007)
Spadoni, A., Ruzzene, M.: Structural and acoustic behavior of chiral truss-core beams. J. Vib. Acoust. 128, 616–626 (2006)
Spadoni, A., Ruzzene, M., Scarpa, F.: Dynamic response of chiral truss-core assemblies. J. Intell. Mater. Syst. Struct. 17, 941–952 (2006)
Fu, M., Liu Z., Liu Y.: An equivalent single-layer model of honeycomb sandwich panel. Eng. Mech. A01, 700–704 (2001)
Cheng, G., Zheng, X., Zhang, D., et al.: Equivalent-panel mechanics analysis of honeycomb sandwich structure. J. Proj. Rockets Missiles Guidance 24, 568–573 (2004)
Zhao, X.: Analysis of mechanical properties of deformable honeycomb structure. [Ph.D. Thesis], Harbin Institute of Technology, China (2013)
Spadoni, A., Ruzzene, M., Gonella, S., et al.: Phononic properties of hexagonal chiral lattices. Wave Motion 46, 435–450 (2009)
Alderson, K.L., Alderson, D., Attard, K.E., 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, 1042–1048 (2010)
Miller, W., Smith, C.W., Scarpa, F., et al.: Flatwise buckling optimization of hexachiral and tetrachiral honeycombs. Compos. Sci. Technol. 70, 1049–1056 (2010)
Alderson, A., Alderson, K.L., Chirima, G., et al.: The in-plane linear elastic constants and out-of-plane bending of 3-coordinated ligament and cylinder-ligament honeycombs. Compos. Sci. Technol. 70, 1034–1041 (2010)
Lorato, P., Innocenti, F., Scarpa, A., et al.: The transverse elastic properties of chiral honeycombs. Compos. Sci. Technol. 70, 1057–1063 (2010)
Cicala, G., Recca, G., Oliveri, L., et al.: Hexachiral truss-core with twisted hemp yarns: out-of-plane shear properties. Compos. Struct. 94, 3556–3562 (2012)
Chen, Y., Scarpa, F., Liu, Y., et al.: Elasticity of anti-tetrachiral anisotropic lattices. Int. J. Solids Struct. 50, 996–1004 (2013)
Bacigalupo, A., Gambarotta, L.: Homogenization of periodic hexa- and tetrachiral cellular solids. Compos. Struct. 116, 461–476 (2014)
Mizzi, L., Attard, D., Gatt, R., et al.: Influence of translational disorder on the mechanical properties of hexachiral honeycomb systems. Compos. B 80, 84–91 (2015)
Scarpa, F., Hassan, M.R., Ruzzenze, M.: Modeling and testing of shape memory alloy chiral honeycomb structure. In: Proceeding of SPIE 6170, Smart Structures and Materials 2006: Active Materials: Behavior and Mechanics (2006)
Scarpa, F., Blain, S., Lew, T., et al.: Elastic buckling of hexagonal chiral cell honeycombs. Compos. A 38, 280–289 (2007)
Gaspar, N., Ren, X.J., Smith, C.W., et al.: Novel honeycombs with auxetic behaviour. Acta Mater. 53, 2439–2445 (2005)
Zhou, J., Sheng, M., Zhang, A.: Equivalent elastic modulus of the honeycomb core based on FEM model. Mech. Strength 37, 488–492 (2015)
Joshi, H.R.: FE analysis of effective mechanical properties, vibration and acoustic performance of auxetic chiral core sandwich structures. [Ph.D. Thesis], Clemson University, USA (2013)
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The authors would like to express their appreciation to the Beijing Excellent Talents Training Program (Grant 2014000020124G072) and China Scholarship Council.
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Su, X.W., Zhu, D.M., Zheng, C. et al. Mechanical properties of 65Mn chiral structure with three ligaments. Acta Mech. Sin. 35, 88–98 (2019). https://doi.org/10.1007/s10409-018-0808-6
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DOI: https://doi.org/10.1007/s10409-018-0808-6