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

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• 作者：Yongtao Sun ; Nicola M. Pugno
• 关键词：In-plane stiffness ; Original regular hexagonal honeycomb (ORHH) ; Multifunctional hierarchical honeycomb (MHH) ; Negative Poisson&rsquo ; s ratio (NPR) ; Re-entrant honeycombs ; Chiral honeycombs
• 刊名：Composite Structures
• 出版年：2013
• 出版时间：December, 2013
• 年：2013
• 卷：106
• 期：Complete
• 页码：681-689
• 全文大小：2607 K

文摘

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.