In plane stiffness of multifunctional hierarchical honeycombs with negative Poisson’s ratio sub-structures

By Yongtao Sun, Nicola Maria Pugno. 2013

150 citations recorded by the source corpus.

Abstract Compared with triangular, square and Kagome honeycombs, hexagonal honeycomb has superior heat dissipation capabilities, but its lower in-plane stiffness hinders its multifunctional applications. Regarding this problem, in this paper we propose a multifunctional hierarchical honeycomb (MHH) with negative Poisson’s ratio (NPR) sub-structures. This MHH is constructed by replacing the solid cell walls of the original regular hexagonal honeycomb (ORHH) with two kinds of equal mass NPR honeycombs, the anisotropic re-entrant honeycomb or the isotropic chiral honeycomb. Based on the Euler beam theory, formulas for the Young’s moduli of these two kinds of MHH structures are derived. Results show that by appropriately adjusting the geometrical parameters both the re-entrant honeycomb (when the cell-wall thickness-to-length ratio of the ORHH is less than 0.045) and the chiral honeycomb (when the cell-wall thickness-to-length ratio of the ORHH is less than 0.75) can greatly tune the in-plane stiffness of the MHH structure. The presented theory could thus be used in designing new tailorable hierarchical honeycomb structures for multifunctional applications.

Subfields: Mechanical Engineering, Polymers and Plastics

View Paper: https://www.semanticscholar.org/paper/d6b7e26bd0d6112b60015f8802e8452e0b99ddd4

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In Mechanical Engineering

In Polymers and Plastics

Citations in the corpus

In-plane crashworthiness of re-entrant hierarchical honeycombs with negative Poisson’s ratio (2019, methodology): “[25, 26] analyzed the in-plane stiffness of the anisotropic multifunctional hierarchical honeycomb and multifunctional hierarchical honeycombs with negative Poisson’s ratio sub-structures based on Euler beam theory.”
In-plane crashworthiness of bio-inspired hierarchical honeycombs (2018, background): “[19, 20] have evaluated the in-plane stiffness of these hierarchical honeycombs, which was significantly higher than that of the regular honeycomb.”
The influence of cell micro-structure on the in-plane dynamic crushing of honeycombs with negative Poisson’s ratio (2015, background): “Sun and Pugno [18] discussed the in-plane stiffness of multifunctional hierarchical honeycombs with NPR sub-structures.”
Hierarchical honeycomb lattice metamaterials with improved thermal resistance and mechanical properties (2016, result): “For example, by replacing the cell walls of regular honeycombs with kagome and triangular lattices, it is theoretically demonstrated that the stiffness of the hierarchical honeycombs is increased by about two orders of magnitude as compared to that of regular honeycombs [23].”