Abstract
Three-dimensional (3D) tunable auxetic meta-structures find widespread applications across various domains. Nevertheless, the existing meta-structures have constrained tunability in their elastic constants, preventing the simultaneous attainment of high stiffness and a prominent auxetic effect. Based on a previously designed 2D tetra-missing rib (TMR) auxetic meta-structure, a novel 3D TMR honeycomb meta-structure was proposed with a tension/compression-twisting coupling effect in this work. To investigate the underlying deformation mechanism of the proposed design, a mechanics model of the elastic constants is formulated by adopting an energy-based approach. The accuracy of the theoretical formulations was then validated both experimentally and numerically. The results indicate the proposed design concurrently exhibits high stiffness and a noticeable auxetic effect. Moreover, tunable Poisson's ratios and elastic modulus within a relative wide range can be obtained by adjusting the geometrical parameters, enabling it adoptable for precise requirements in practical applications.
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