Study of the mechanical behavior under compression of a tetrachiral auxetic tubular structure

Ali Bejaoui
National School of Engineers of Tunis, University of Tunis El Manar, Tunis 1002, Tunisia; Laboratory of Mechanics, Production and Energetics, Higher National Engineering School of Tunis, University of Tunis, Tunis 1008, Tunisia
Ltaief Lammari
Mechanical and Agro-Industrial Engineering Laboratory, Higher School of Engineering of Medjez El Bab, University of Jendouba, Medjez El Bab 9070, Tunisia
Fethi Abbassi
College of Engineering and Technology, American University of the Middle East, Egaila 54200, Kuwait
Ali Trabelsi
Laboratory of Mechanics, Production and Energetics, Higher National Engineering School of Tunis, University of Tunis, Tunis 1008, Tunisia
Mohamed-Ali Rezgui
Laboratory of Mechanics, Production and Energetics, Higher National Engineering School of Tunis, University of Tunis, Tunis 1008, Tunisia

Article ID: 4310

Keywords: auxetic tubular structure, tetrachiral lattice, effective Poisson's ratio, finite element modeling, axial compression, boundary conditions, additive manufacturing

Abstract

Additive manufacturing enables the fabrication of architected materials with geometries unattainable through conventional processes. Among these, auxetic metastructures, characterized by a negative Poisson's ratio, have attracted considerable interest owing to their unusual deformation mechanisms and superior energy absorption and dissipation. This study investigates the mechanical behavior of a tetrachiral tubular structure made of AA7075-T651 aluminum alloy under axial compression, focusing on the influence of boundary conditions at the part–machine interfaces. Finite element simulations accounted for frictional contact, geometric nonlinearity, and the rotational kinematics of tetrachiral cells. The results reveal that friction governs the onset and magnitude of the auxetic response. Under highly constrained contact (μ = 0.8), ligament rotation is suppressed, and the structure deforms conventionally, exhibiting a positive effective Poisson's ratio (ν ≈ +0.28), limited twisting (two turns), and a maximum compressive load of 3.877 kN. Reducing friction to μ = 0.2 with a fixed base promotes in-plane node rotation, activating the tetrachiral mechanism and yielding ν ≈ −0.25, four turns, and a higher load of 3.883 kN. The most pronounced auxetic response arises when both ends are free to slide under low friction, producing ν ≈ −0.32, five turns, and an 8.2% contraction of the outer diameter. Across the investigated configurations, the effective Poisson's ratio varies by 0.60. These findings demonstrate that the auxetic behavior of tetrachiral tubes is highly sensitive to frictional and kinematic constraints, which must be carefully controlled to ensure reproducible mechanical performance.

Published

2026-08-14

How to Cite

Bejaoui, A., Lammari, L., Abbassi, F., Trabelsi, A., & Rezgui, M.-A. (2026). Study of the mechanical behavior under compression of a tetrachiral auxetic tubular structure. Sound & Vibration, 60(5). https://doi.org/10.59400/sv4310

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Vol. 60 No. 5 (2026)

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Article

This work is licensed under a Creative Commons Attribution 4.0 International License.

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