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Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021, Volume 8, Issue 1, Pages 150–157
DOI: https://doi.org/10.21638/spbu01.2021.113
(Mi vspua139)
 

MECHANICS

Influence of unit cell parameters of tetrachiral mechanical metamaterial on its effective properties

L. R. Akhmetshinab, I. Yu. Smolinab

a National Research Tomsk State University, 36, pr. Lenina, Tomsk, 634050, Russian Federation
b Institute of Strength Physics and Materials Science SB RAS, 2/4, pr. Akademicheskii, Tomsk, 634055, Russian Federation
Abstract: In the paper, we study the mechanical behavior of a three-dimensional chiral mechanical metamaterial using numerical modeling. A feature of chiral structures is that during their uniaxial loading a twisting is observed along the loading axis. A rod of the mechanical metamaterial composed of $3\times 3\times 9$ unit cells along the corresponding three orthogonal axes. The relative strain of uniaxial compression of the sample in the simulation did not exceed $3.3 \%$. The simulation was performed by the finite element method in a threedimensional case. Original results on the dependencies of the rotation angle and the reaction of the rigidly fixed support of the metamaterial sample on the parameters characterizing the structure of the unit cell of the metamaterial are presented in this context. All the dependencies, except one, are nonlinear with portions of large and small changes.
Keywords: numerical modeling, finite-element method, metamaterial, structure - property relation, chiral structure, uniaxial deformation, rotation.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations FWRW2019-0035
This work was made within the framework of State Assignment of the Institute of Strength Physics and Materials Science SB RAS (topic no. FWRW-2019-0035)
Received: 23.04.2020
Revised: 16.09.2020
Accepted: 17.09.2020
Document Type: Article
UDC: 51-72, 539.3
MSC: 74A30, 74K10, 74S05
Language: Russian
Citation: L. R. Akhmetshin, I. Yu. Smolin, “Influence of unit cell parameters of tetrachiral mechanical metamaterial on its effective properties”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 8:1 (2021), 150–157
Citation in format AMSBIB
\Bibitem{AkhSmo21}
\by L.~R.~Akhmetshin, I.~Yu.~Smolin
\paper Influence of unit cell parameters of tetrachiral mechanical metamaterial on its effective properties
\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
\yr 2021
\vol 8
\issue 1
\pages 150--157
\mathnet{http://mi.mathnet.ru/vspua139}
\crossref{https://doi.org/10.21638/spbu01.2021.113}
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