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

doi:10.17804/2410-9908.2023.6.078-089

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

Bibliography:

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.

И. С. Каманцев, А. И. Голоднов, М. Р. Сухова, О. Ю. Корниенко, С. В. Беликов

ОСОБЕННОСТИ РАЗРУШЕНИЯ СЕТЧАТЫХ КОНСТРУКЦИЙ С ПЕРИОДИЧЕСКОЙ И КВАЗИПЕРИОДИЧЕСКОЙ СТРУКТУРАМИ

В работе проведено исследование особенностей разрушения сетчатых конструкций с периодической и квазипериодической ячеистыми структурами в условиях одноосного сжатия. Квазипериодическая ячеистая структура построена на принципах биомимикрии. В качестве прототипа использованы структуры, характерные для живой природы. Прототипом для периодической структуры послужили пчелиные соты, а квазипериодическая структура была построена с учетом геометрических принципов строения скелета морской губки Aphrocallistes. Установлено, что у структур, имеющих в строении элементарные составляющие – неидеальные элементы, отличающие их от гексагонов (угол между сторонами, размер ячеек и их форма), – происходит увеличение на 24 % эффективной работы, затрачиваемой на первом акте разрушения объекта при одноосном сжатии. Установлена взаимосвязь характера разрушения образцов с периодической и квазипериодической ячеистыми структурами с величиной работы, затраченной на полное разрушение объектов исследования. Выявлено, что для образцов с периодической структурой первый акт разрушения характеризуется магистральным выходом из строя перемычек между узлами по всему периметру, т. е. имеет место одномерное последовательное кольцевое разрушение. Для образцов с квазипериодической структурой характерно двумерное разрушение, т. е. для значительного снижения несущей способности объекта требуется разрушение большего количества перемычек между узлами на единицу площади, а следовательно, большая плотность разрушенных элементов.

Ключевые слова: ячеистые структуры, сетчатые конструкции, работа разрушения, несущая способность

Библиография:

1.   Wang Z. Recent advances in novel metallic honeycomb structure // Composites Part B: Engineering. – 2019. – Vol. 166. – P. 731–741. – DOI: 10.1016/j.compositesb.2019.02.011.
2.   Modelling, and characterization of 3D printed cellular structures / P. Płatek, M. Kucewicz, P. Baranowski, J. Małachowski, A. Popławski // Materials & Design. – 2018. – Vol. 142. – P. 177–189. – DOI: 10.1016/j.matdes.2018.01.028.
3.   Xiao L., 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. – Vol. 111. – P. 255–272. – DOI: 10.1016/j.ijimpeng.2017.09.018.
4.   Facture behavior of Ti-6-4 cellular structures obtained by selective laser melting / I. S. Kamantsev, Yu. N. Loginov, S. V. Belikov, S. I. Stepanov, M. S. Karabanalov, A. I. Golodnov // Diagnostics, Resource and Mechanics of materials and structures. – 2020. – Iss. 4. – P. 35–47. – DOI: 10.17804/2410-9908.2020.4.035-047. – URL: http://dream-journal.org/issues/content/article_294.html
5.   Akhmetshin L. R., Smolin I. Yu. Influence of unit cell parameters of tetrachiral mechanical metamaterial on its effective properties // Nanoscience and Technology. – 2020. – Vol. 11 (3). – DOI:10.1615/NanoSciTechnolIntJ.2020033737.
6.   Eidini M. Zigzag-base folded sheet cellular mechanical metamaterials // Extreme Mechanics Letters. – 2016. – Vol. 6. – P. 96–102. – DOI: 10.1016/j.eml.2015.12.006.
7.   Hu L. L., Yu T. X. Dynamic crushing strength of hexagonal honeycombs // International Journal of Impact Engineering. – 2010. – Vol. 37, No. 5. – С. 467–474. – DOI: 10.1016/j.ijimpeng.2009.12.001.
8.   The topological design of multifunctional cellular metals / A. G. Evans, J. W. Hutchinson, N. A. Fleck, M. F. Ashby, H. N. G. Wadley // Progress in Materials Science. – 2001. – Vol. 46, Nos. 3–4. – С. 309–327. – DOI: 10.1016/S0079-6425(00)00016-5.
9.   Sun F., Lai C., Fan H. In-plane compression behavior and energy absorption of hierarchical triangular lattice structures // Materials & Design. – 2016. – Vol. 100. – P. 280–290. – DOI: 10.1016/j.matdes.2016.03.023.
10.   Evaluations of cellular lattice structures manufactured using selective laser melting / C. Yan, L. Hao, A. Hussein, D. Raymont // International Journal of Machine Tools and Manufacture. – 2012. – Vol. 62. – P. 32–38. – DOI: 10.1016/j.ijmachtools.2012.06.002.
11.   Liu Y., Zhang X.-C. The influence of cell micro-topology on the in-plane dynamic crushing of honeycombs // International Journal of Impact Engineering. – 2009. – Vol. 36. – P. 98–109. – DOI: 10.1016/j.ijimpeng.2008.03.001.
12.   Dynamic compressive strength properties of aluminium foams. Part II- ‘shock’ theory and comparison with experimental data and numerical models / P. J. Tan, S. R. Reid, J. J. Harrigan, Z. Zou, S. Li // Journal of the Mechanics and Physics of Solids. – 2005. – Vol. 53 (10). – P. 2206–2230. – DOI: 10.1016/j.jmps.2005.05.003.
13.   Ajdari A., Nayeb-Hashemi H., Vaziri A. Dynamic crushing and energy absorption of regular, irregular and functionally graded cellular structures // International Journal of Solids and Structures. – 2011. – Vol. 48 (3–4). – P. 506–516. – DOI: 10.1016/j.ijsolstr.2010.10.018.
14.   Progress in modern marine biomaterials research / Y. Khrunyk, S. Lach, I. Petrenko, H. Ehrlich // Marine Drugs. – 2020. – Vol. 18 (12). – P. 589. – DOI: 10.3390/md18120589.
15.   Honeycomb biosilica in sponges: from understanding principles of unique hierarchical organization to assessing biomimetic potential / A. Voronkina, E. Romanczuk-Ruszuk, R. E. Przekop, P. Lipowicz, E. Gabriel, K. Heimler, A. Rogoll, C. Vogt, M. Frydrych, P. Wienclaw, A. L. Stelling, K. Tabachnick, D. Tsurkan, H. Ehrlich // Biomimetics. – 2023. – Vol. 8 (2). – P. 234. – DOI: 10.3390/biomimetics8020234.
16.   Gibson L., Ashby M. Cellular Solids. Structure and Properties. – 2nd ed. – Cambridge Solid State Science Series. – Cambridge : Cambridge University Press, 1997. – 532 p.

Библиографическая ссылка на статью

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://dream-journal.org/issues/2023-6/2023-6_420.html
(accessed: 09.05.2024).