Mechanical performance study of high flexibility arrow-shaped concave arc bottoms negative Poisson's ratio honeycomb structure

Ding Shuangjiang 1, *, Song Leipeng 2, Wang Taoxi 1 and Shen Xing 1

1 Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China.
2 Zhejiang University of Science and Technology, Hangzhou, 310023, China.
 
Research Article
International Journal of Science and Research Archive, 2024, 13(01), 2122–2135.
Article DOI: 10.30574/ijsra.2024.13.1.1882
Publication history: 
Received on 23 August 2024; revised on 04 October 2024; accepted on 06 October 2024
 
Abstract: 
A novel negative Poisson's ratio honeycomb structure with arrow-shaped concave arc bottoms was presented in this paper. The analytical formulas for the equivalent elastic modulus, equivalent Poisson's ratio, and equivalent density were derived based on the theory of the Timoshenko beam under small static deformations and verified by experiments and finite element simulations. Comparative analysis with common negative Poisson's ratio honeycomb structures revealed that the arrow-shaped concave arc bottom structure exhibits superior deformability under load. Experimental results showed that the elastic modulus of the structure is only 5.34% of that of the classical concave hexagonal structure. Furthermore, a parametric analysis systematically investigated the influence of geometric parameters on the structural in-plane equivalent mechanical properties, which can provide some guidance for the parameter design of the honeycomb structure in practical application.
 
Keywords: 
Negative Poisson's ratio honeycomb structure; Arrow-shaped concave-arc bottom cell; Energy method; Effective mechanical properties; Parameter analysis
 
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