RELATIONSHIP BETWEEN STIFFNESS AND TORSION IN TETRACHIRAL METAMATERIAL SAMPLES

Author details

L.R. Akhmetshin
Institute of Strength Physics and Materials Science, Tomsk, Russian Federation
I.Yu. Smolin
Institute of Strength Physics and Materials Science, Tomsk, Russian Federation

https://doi.org/10.15593/perm.mech/2025.6.04

The paper numerically investigates the influence of the cross-sectional shape (triangle, square, and circle) of prismatic samples made of a tetrachiral metamaterial on their mechanical properties under uniaxial compression. Numerical modeling is a favorable tool for testing not only the metamaterial, but also the final shapes of its samples. Two methods of connecting cells in a sample are considered, as well as two sample configurations, when the center of the cross-section of the carved sample coincides with either the center located in the middle of a tetrachiral unit or the center of the cross-section is positioned at the intersection point of four tetrachiral units. When changing the shapes' center, the cross-sectional areas (S) of the samples remain unchanged. It was found that the shift of the center changes the volume of the base material (V). Due to the chiral structure, the metamaterial samples exhibit an unusual effect under uniaxial compression, i.e. twisting along the loading axis. It was recorded that the local rotation of the chiral walls may not coincide with the metamaterial sample’s twisting. It was demonstrated that, despite minor variations in porosity (86.2 ± 3.79% and 79.88 ± 1.75% for different connection methods), alteration of the cross-sectional shape significantly affects the deformation behavior of the samples, as evidenced by changes in the twist angle (difference up to 6.74 times) and support force reaction (difference up to 5.51 times). The results indicate that the sample geometry has a substantial impact on the sample properties and should be considered at the design stage. Thus, this study provides researchers with a basis for an efficient topology optimization of complex metamaterial samples. The obtained results make it possible to control the properties of metamaterial products through their shape and offer new applications in various industries.

Keywords

mechanical metamaterialtetrachiral structureeffective propertiesstiffnesscompression-torsion couplingFEM

СВЯЗЬ ЖЕСТКОСТИ СО СКРУЧИВАНИЕМ В ОБРАЗЦАХ ИЗ ТЕТРАХИРАЛЬНОГО МЕТАМАТЕРИАЛА

В работе численно исследовано влияние формы поперечного сечения (треугольник, квадрат, круг) призматических образцов из тетрахирального метаматериала на их механические свойства при одноосном сжатии. Компьютерное моделирование является благоприятным инструментом проверки не только метаматериала, но и конечных форм образцов из него. Рассмотрены два способа соединения ячеек в образце, а также две конфигурации образцов, когда центр поперечного сечения вырезанного образца совпадает с: 1) центром тетрахиральной структуры и 2) точкой пересечения четырех тетрахиральных структур. При смене центра фигур площади поперечных сечений (S) образцов остаются неизменными. Обнаружено, что смещение центра влечет изменение объема базового материала (V). За счет хиральной структуры образцы из метаматериала проявляют необычный эффект – при одноосном сжатии реализуется скручивание вдоль оси нагружения. Зафиксировано, что локальное вращение хиральных граней может не совпадать с поворотом образца из метаматериала. При этом, показано, что, несмотря на незначительные различия в пористости (86,2 ± 3,79% и 79,88 ± 1,75% для различных способов соединения), изменение формы поперечного сечения существенно влияет на деформационное поведение образцов, проявляющееся в изменении угла скручивания (различие до 6,74 раза) и силовой реакции опоры (различие до 5,51 раза). Результаты демонстрируют, что геометрия образца оказывает значительное влияние на его свойства и должна учитываться при проектировании. Таким образом, данное исследование предоставит исследователям основу для эффективной оптимизации топологии сложных образцов из метаматериала. Полученные результаты демонстрируют возможность управления свойствами изделий из метаматериалов через их форму, открывая новые горизонты для применения в различных отраслях.

Ключевые слова

механический метаматериалтетрахиральная структураэффективные свойстважесткостьэффект «нагружение–скручивание»МКЭ

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Article information

Published: 29 December 2025
Issue date: 29 December 2025
Issue: No. 6 (2025)