Geometrically nonlinear mechanical properties of auxetic double-V microstructures with negative Poisson's ratio

Double-V microstructure (DVM) is a type of auxetic cellular material with negative Poisson's ratio (NPR). Accurate predictions of the mechanical properties of these microstructures at large strains are critical for many engineering applications. In this paper, nonlinear theoretical models of tw...

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Published in:European journal of mechanics, A, Solids A, Solids, 2020-03, Vol.80, p.103933, Article 103933
Main Authors: Gao, Qiang, Tan, Chin An, Hulbert, Greg, Wang, Liangmo
Format: Article
Language:English
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Summary:Double-V microstructure (DVM) is a type of auxetic cellular material with negative Poisson's ratio (NPR). Accurate predictions of the mechanical properties of these microstructures at large strains are critical for many engineering applications. In this paper, nonlinear theoretical models of two-dimensional (2D) and three-dimensional (3D) DVM based on a large beam deflection model are established to predict the normalized Young's modulus and Poisson's ratio in the principal directions. The theoretical solutions are compared to solutions obtained from numerical finite element analyses and quasi-static compression experiments of a 2D prototype manufactured using additive printing technique. It is found that there is good agreement between these results, validating the accuracy of the proposed theoretical model. Effects of geometry parameters on the mechanical properties of the DVM are also investigated to understand the mechanical behavior at large strains. This study provides validated models for predicting the behavior of these microstructures at large strains, useful for engineering designs. [Display omitted] •A large deflection cantilever beam model based on elliptic integral solution is established.•An analytical model is proposed to predict geometrically nonlinear mechanical properties of the double-V microstructure.•Numerical and experimental solutions verify the accuracy of the analytical model.
ISSN:0997-7538
1873-7285
DOI:10.1016/j.euromechsol.2019.103933