ПРОГРАММИРУЕМОЕ ПОВЕДЕНИЕ МЕТАМАТЕРИАЛА ПРИ ИЗМЕНЕНИИ СПОСОБА СОЕДИНЕНИЯ ЭЛЕМЕНТАРНЫХ ЯЧЕЕК

Ахметшин, Л.Р.[1] Смолин И.Ю.

doi:10.15593/perm.mech/2023.1.03

ПРОГРАММИРУЕМОЕ ПОВЕДЕНИЕ МЕТАМАТЕРИАЛА ПРИ ИЗМЕНЕНИИ СПОСОБА СОЕДИНЕНИЯ ЭЛЕМЕНТАРНЫХ ЯЧЕЕК

Л.Р.[1] Смолин И.Ю. Ахметшин

Сведения об авторе

Л.Р.[1] Смолин И.Ю. Ахметшин
Национальный исследовательский Томский государственный университет, Томск, Россия

https://doi.org/10.15593/perm.mech/2023.1.03

Работа посвящена численному анализу одноосного нагружения образца из механического метаматериала. Структура механического метаматериала построена из кольца и четырех связок, составляющих тетрахиральную структуру. Особенность подобной структуры заключена в скручивании образца под силовой нагрузкой. Рассмотрены два метода соединения ячеек в метаматериале «присоединение» и «внахлест». Метод соединения ячеек «присоединение» увеличивает толщину некоторых элементов внутренней структуры образца, что позволяет рассматривать это как топологический дефект метаматериала. Соединение методом «внахлест» позволяет экономить базовый материал, из которого построена тетрахиральная структура. Различия в структуре при построении трехмерного образца приводят к существенному изменению его характеристик. Численное решение задачи осуществляется в трехмерной постановке с использованием метода конечных элементов. Определяющее соотношение, описывающее поведение модели, соответствует закону Гука. Численное моделирование одноосного нагружения образцов позволило получить результаты их механического отклика и проанализировать эффективные свойства метаматериалов. Топологический дефект в виде утолщения элементов внутренней структуры приводит к различию линейных размеров образцов. Увеличенная толщина в местах соединения элементарных ячеек также привела к уменьшению эффективной плотности образца из метаматериала. Этот же образец продемонстрировал тройное увеличение значения модуля упругости. Большая способность к сопротивлению деформированию привела к уменьшению эффекта скручивания по сравнению с образцом, ячейки которого соединялись методом «внахлест». Полученные результаты позволят программировать механическое поведение и свойства образцов из метаматериала.

Ключевые слова

механический метаматериалячеистая структурасоединение ячеекхиральностьчисленное моделированиеметод конечных элементовупругое деформированиесоотношение структура – свойстваскручиваниеэффективные характеристики.

Programmable behavior of the metamaterial by kind unit cells connection

The paper is devoted to the numerical analysis of uniaxial loading of a sample of the mechanical metamaterial. The structure of the mechanical metamaterial is constructed of a ring and four ligaments, which make up a tetrachiral structure. The peculiarity of such a structure consists in torsion of the sample under the force load. Two methods of connecting cells in the metamaterial are considered adjoining and overlapping. The adjoining method of joining cells increases the thickness of the internal structure of the sample, which allows us to consider it as a topological defect of the metamaterial. The overlapping method saves the base material from which the tetrachiral structure is constructed. Differences in the structure when constructing a three-dimensional sample result in a significant change in the characteristics of the sample. Numerical solution of the problem is performed in a three-dimensional formulation using the finite element method. The constitutive relation describing the behavior of the model corresponds to Hooke's law. Numerical simulation of uniaxial loading made it possible to obtain the results of mechanical response and to analyze the effective properties of metamaterials. A topological defect in the form of a thickening of the internal structure elements led to a difference in the linear dimensions of the two samples. The increased thickness of the unit cell connection elements resulted in a decrease in the effective density of the metamaterial sample. The same sample showed a triple increase in the value of the elastic modulus. The greater ability to resist deformation resulted in a reduced twist effect compared to the sample whose cells were joined by the overlapping method. The results obtained will make it possible to program the mechanical behavior and properties of the metamaterial sample.

Keywords

mechanical metamaterialcell structurecell connectionchiralitynumerical simulationfinite element methodelastic deformationstructure-properties relationshiptwisteffective properties.

Литература

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1.Ullah A., Kiuno H., Kubo A., D'Addona D.M. A system for designing and 3D printing of porous structures CIRP Annals. – 2020. – Vol. 69. – No. 1. – PP. 113-116. doi 10.1016j.cirp.2020.04.088 Scholar
2.Tan T., Yan Zh., Zou H., Ma K., Liu F., Zhao L., Peng Zh., Zhang W. Renewable energy harvesting and absorbing via multi-scale metamaterial systems for Internet of things Applied Energy. – 2019. – Vol. 254. – No. 113717. doi 10.1016j.apenergy.2019.113717 Scholar
3.Bhullar S.K., Lala N.L., Ramkrishna S. Smart biomaterials - a review. Review on advanced Materials Science. – 2015. – Vol. 40. – PP. 303–314. Scholar
4.Akhmetshin L.R., Smolin I.Yu. Influence of unit cell parameters of tetrachiral mechanical metamaterial on its effective properties Nanoscience and Technology An International Journal. – 2020. – Vol. 11. – No. 3. – PP. 265-273. doi 10.1615NanoSciTechnolIntJ.2020033737 Scholar
5.Meeussen A.S., Oğuz E.C., Shokef Y., Hecke M., Topological defects produce exotic mechanics in complex metamaterials Nature Physics. – 2019. – Vol. 16. – P. 307. doi 10.1038s41567-019-0763-6 Scholar
6.Meeussen A.S., Oğuz E.C., Hecke M., Shokef Y. Response evolution of mechanical metamaterials under architectural transformations New Journal of Physics. – 2020. – Vol. 22. – No. 023030. doi 10.10881367-2630ab69b5 Scholar
7.Akhmetshin L.R., Smolin I.Yu. Analysis of Stress and Strain in the Tetrachiral Metamaterial with Different Kinds of Unit Cell Connections Procedia Structural Integrity. – 2022. – Vol. 35 – PP. 247-253. doi 10.1016j.prostr.2021.12.071 Scholar
8.Frenzel T., KadicM., Wegener M., Three-dimensional mechanical metamaterials with a twist Science. – 2017. – Vol. 358. – No. 6366. – P. 1072. doi 10.1126science.aao4640 Scholar
9.Bryukhanov I.A., Gorodtsov V.A., Lisovenko D.S. Atomistic Modeling of the Mechanical Properties of Chiral Metallic Nanotubes Physical Mesomechanics. – 2020. – Vol. 23. – No. 6. – PP. 477–486. doi 10.1134S102995992006003X Scholar
10.Surjadi J.U., Gao L., Du H., Li X., Xiong X., Fang N.X., Lu Y. Mechanical metamaterials and their engineering applications Advanced Engineering Materials. – 2019. – Vol. 21. – No. 1800864. doi 10.1002adem.201800864 Scholar
11.Cho H., Seo D., Kim D.N. Mechanics of Auxetic Materials. In Hsueh CH. et al. (eds) Handbook of Mechanics of Materials. Springer, Singapore. – 2018. doi 10.1007978-981-10-6855-3_25-1 Scholar
12.Ren X., Das R., Tran Ph., Ngo T.D., Xie Y.M. Auxetic metamaterials and structures a review Smart Materials and Structures. – 2018. – Vol. 27. – No. 023001. doi 10.10881361-665Xaaa61c Scholar
13.Ha C.S., Plesha M.E., Lakes R.S. Chiral three-dimensional lattices with tunable Poisson's ratio Smart Materials and Structures. – 2016. – Vol. 25. – No. 5. – P. 054005. doi 10.10880964-1726255054005 Scholar
14.Fu M., Zheng B., Li W. A novel chiral three-dimensional material with negative Poisson's ratio and the equivalent elastic parameters Composite Structures. – 2017. – Vol. 176. – PP. 442-448. doi 10.1016J.COMPSTRUCT.2017.05.027 Scholar
15.Fu M., Liu F., Hu L. A novel category of 3D chiral material with negative Poisson's ratio Composites Science and Technology. – 2018. – Vol. 160. – PP. 111-118. doi 10.1016J.COMPSCITECH.2018.03.017 Scholar
16.Ebrahimi H., Mousanezhad D., Nayeb-Hashemi H., Norato J., Vaziri A. 3D cellular metamaterials with planar anti-chiral topology Materials and Design. – 2018. – Vol. 145. – PP. 226-231. doi 10.1016J.MATDES.2018.02.052 Scholar
17.Duan S., Xi L., Wen W., Fang D. A novel design method for 3D positive and negative Poisson's ratio material based on tension-twist coupling effects Composite Structures. – 2020. – Vol. 236. – No. 111899. doi 10.1016j.compstruct.2020.111899 Scholar
18.Sabouni-Zawadzka A.A., Gilewski W. Smart Metamaterial Based on the Simplex Tensegrity Pattern Materials. – 2018. – Vol. 11. – No. 5. – P. 673. doi 10.3390ma11050673 Scholar
19.Jiang Y., Li Y. Novel 3D-Printed Hybrid Auxetic Mechanical Metamaterial with Chirality-Induced Sequential Cell Opening Mechanisms Advanced Engineering Materials. – 2017. – No. 1700744. doi 10.1002adem.201700744 Scholar
20.Zhong R., Zheng B., Fu M. A Novel Strategy for Constructing 3D Dislocated Chiral Metamaterial with Negative Poisson's Ratio Advanced Engineering Materials. – 2021. – Vol. 23. – No. 3. – P. 2000991. doi 10.1002adem.202000991 Scholar
21.Sang S., Wang Z. A design of elastic metamaterials with multi-negative pass bands Acta Mechanica. – 2018. – Vol. 229. – PP. 2647–2655. doi 10.1007s00707-018-2128-0 Scholar
22.Mizzi L., Spaggiari A. Novel chiral honeycombs based on octahedral and dodecahedral Euclidean polygonal tessellations International Journal of Solids and Structures. – 2022. – 238. P. 111428. doi 10.1016j.ijsolstr.2022.111428 Scholar
23.Zheng B.-B., Zhong R.-Ch., Chen X., Fu M.-H., Hu L.-L. A novel metamaterial with tension-torsion coupling effect Materials and Design. – 2019. – Vol. 171. – P. 107700. doi 10.1016j.matdes.2019.107700 Scholar
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33.Ebrahimi H., Mousanezhad D., Nayeb-Hashemi H., Norato J., Vaziri A. 3D cellular metamaterials with planar anti-chiral topology Materials and Design. – 2018. – Vol. 145. – PP. 226–231. doi 10.1016j.matdes.2018.02.052 Scholar
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Опубликована: 29.05.2023
В выпуске: 29.05.2023
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ПРОГРАММИРУЕМОЕ ПОВЕДЕНИЕ МЕТАМАТЕРИАЛА ПРИ ИЗМЕНЕНИИ СПОСОБА СОЕДИНЕНИЯ ЭЛЕМЕНТАРНЫХ ЯЧЕЕК

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Ключевые слова

Programmable behavior of the metamaterial by kind unit cells connection

Keywords

Литература

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