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The work is devoted to the numerical analysis of the uniaxial loading of a sample of mechanical metamaterial. The structure of the mechanical metamaterial is constructed of a ring and four ligaments, making up a tetrachiral structure. The peculiarity of such a structure consists of the twist of the sample under the force load. Numerical simulation of uniaxial loading of the samples allowed us to obtain the results of their mechanical response and to analyze the influence of the number of cells in the rod on its mechanical behavior. The results showed that the additivity principle for twist is invalid, which means that predicting the behavior of the rod as the number of unit cells in it increases is possible with some inaccuracy. The displacements of the vertices of the square sections and the ends of the rod depend linearly on its length measured in the number of unit cells. A similar dependence will be maintained with a further increase in the length of the metamaterial rod. [ABSTRACT FROM AUTHOR]

The paper investigates the deformation behavior of a mechanical metamaterial. The metamaterial is made up of tetrachiral elements. An analytical solution is obtained for the deformation behavior of a unit cell of the metamaterial depending on its parameters. The results of the analytical solution were used for numerical modeling. The computer FEM model was built using beam elements. The numerical solution of the mechanical loading of the metamaterial was performed in the static case of the linear theory of elasticity. In the course of numerical simulation of the uniaxial loading of the mechanical metamaterial, it was found that the specimen inclines when elongated. The difference in inclination angles between the right and left sides of the specimen is probably related to the rotation of the ring in the tetrachiral structure. [ABSTRACT FROM AUTHOR]