I. S. Kamantsev, A. I. Golodnov, M. R. Sukhova, O. Y. Kornienko, S. V. Belikov
FRACTURE BEHAVIOR OF GRID STRUCTURES WITH PERIODIC AND QUASIPERIODIC DESIGNS
DOI: 10.17804/2410-9908.2023.6.078-089 The failure of grid structures with periodic and quasi-periodic designs under uniaxial compression is investigated. The quasi-periodic cellular structure is built on the principles of biomimicry. Structures characteristic of living nature are used as a prototype. A honeycomb is the prototype for the periodic structure, and the quasiperiodic structure is built with regard to the geometric principles of the skeleton of Aphrocallistes sp. (a sea sponge). It has been found that there is a 24 % increase in effective work spent on the first act of the failure of the object with uniaxial compression in structures with elementary components – imperfect elements that distinguish them from hexagons (the angle between the sides, the size and shape of the cells). The correlation of the failure pattern of the grid structures with periodic and quasiperiodic designs to the amount of work spent on the complete failure of the samples has been established. It has been revealed that, for the samples with a periodic structure, the first act of failure is characterized by the main failure of the intermodal membranes along the entire perimeter, i.e. that it is one-dimensional sequential annular failure. The samples with a quasi-periodic structure are characterized by two-dimensional failure, i.e., for the load-bearing capacity of an object to be significantly reduced, there must be a greater number of destroyed intermodal membranes per unit area and, therefore, a higher density of destroyed elements.
Keywords: cellular structures, grid structures, fracture energy, load-bearing capacity References:
- Wang, Z. Recent advances in novel metallic honeycomb structure. Composites, Part B: Engineering, 2019, 166, 731–741. DOI: 10.1016/j.compositesb.2019.02.
- Płatek, P., Kucewicz, M., Baranowski, P., Małachowski, J., and Popławski, A. Modelling, and characterization of 3D printed cellular structures. Materials & Design, 2018, 142, 177–189. DOI: 10.1016/j.matdes.2018.01.028.
- Xiao, L. and Song, W. Additively-manufactured functionally graded Ti-6Al-4V lattice structures with high strength under static and dynamic loading: experiments. International Journal of Impact Engineering, 2018, 111, 255–272. DOI: 10.1016/j.ijimpeng.2017.09.018.
- Kamantsev, I. S., Loginov, Yu. N., Belikov, S. V., Stepanov, S. I., Karabanalov, M. S., and Golodnov, A. I. Facture behavior of Ti-6-4 cellular structures obtained by selective laser melting. Diagnostics, Resource and Mechanics of materials and structures, 2020, iss. 4, pp. 35–47. DOI: 10.17804/2410-9908.2020.4.035-047. Available at: http://dream-journal.org/issues/content/article_294.html
- Akhmetshin, L.R. and Smolin, I.Yu. Influence of unit cell parameters of tetrachiral mechanical metamaterial on its effective properties. Nanoscience and Technology, 2020, 11 (3), 265‒273. DOI: 10.1615/NanoSciTechnolIntJ.2020033737.
- Eidini, M. Zigzag-base folded sheet cellular mechanical metamaterials. Extreme Mechanics Letters, 2016, 6, 96–102. DOI: 10.1016/j.eml.2015.12.006.
- Hu, L.L. and Yu, T.X. Dynamic crushing strength of hexagonal honeycombs. International Journal of Impact Engineering, 2010, 37 (5), 467–474. DOI: 10.1016/j.ijimpeng.2009.12.001.
- Evans, A.G., Hutchinson, J.W., Fleck, N.A., Ashby, M.F., and Wadley, H.N.G. The topological design of multifunctional cellular metals. Progress in Materials Science, 2001, 46, 3–4, 309–327. DOI: 10.1016/S0079-6425(00)00016-5.
- Sun, F., Lai, C., and Fan, H. In-plane compression behavior and energy absorption of hierarchical triangular lattice structures. Materials & Design, 2016, 100, 280–290. DOI: 10.1016/j.matdes.2016.03.023.
- Yan, C., Hao, L., Hussein, A., and Raymont, D. Evaluations of cellular lattice structures manufactured using selective laser melting. International Journal of Machine Tools and Manufacture, 2012, 62, 32–38. DOI: 10.1016/j.ijmachtools.2012.06.002.
- Liu, Y., and Zhang, X.-C. The influence of cell micro-topology on the in-plane dynamic crushing of honeycombs. International. International Journal of Impact Engineering, 2009, 36 (1), 98–109. DOI: 10.1016/j.ijimpeng.2008.03.001.
- Tan, P.J., Reid, S.R., Harrigan, J.J., Zou, Z., and Li, S. Dynamic compressive strength properties of aluminium foams. Part II – ‘shock’ theory and comparison with experimental data and numerical models. Journal of the Mechanics and Physics of Solids, 2005, 53 (10), 2206–2230. DOI: 10.1016/j.jmps.2005.05.003.
- Ajdari, A., Nayeb-Hashemi, H., and Vaziri, A. Dynamic crushing and energy absorption of regular, irregular and functionally graded cellular structures. International Journal of Solids and Structures, 2011, 48 (3–4), 506–516. DOI: 10.1016/j.ijsolstr.2010.10.018.
- Khrunyk, Y., Lach, S., Petrenko, I., and Ehrlich, H. Progress in modern marine biomaterials research. Marine Drugs, 2020, 18 (12), 589. DOI: 10.3390/md18120589.
- Voronkina, A., Romanczuk-Ruszuk, E., Przekop, R.E., Lipowicz, P., Gabriel, E., Heimler, K., Rogoll, A., Vogt, C., Frydrych, M., Wienclaw, P., Stelling, A. L., Tabachnick, K., Tsurkan, D., and Ehrlich H. Honeycomb biosilica in sponges: from understanding principles of unique hierarchical organization to assessing biomimetic potential. Biomimetics, 2023, 8 (2), 234. DOI: 10.3390/biomimetics8020234.
- Gibson, L. and Ashby, M. Cellular Solids: Structure and Properties, 2nd ed., Cambridge Solid State Science Series, Cambridge University Press, Cambridge, 1997, 532 p.
Article reference
Fracture Behavior of Grid Structures with Periodic and Quasiperiodic Designs / I. S. Kamantsev, A. I. Golodnov, M. R. Sukhova, O. Y. Kornienko, S. V. Belikov // Diagnostics, Resource and Mechanics of materials and structures. -
2023. - Iss. 6. - P. 78-89. - DOI: 10.17804/2410-9908.2023.6.078-089. -
URL: http://eng.dream-journal.org/issues/content/article_420.html (accessed: 11/21/2024).
|