Optimal Design and Mean Stress Estimation of Modular Metamaterials Inspired by Burr Puzzles

Kuijian Yang, Xiaoxun Li, Zhi Li, Weiyu Zhu () and Yingkang Yao ()
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Kuijian Yang: State Key Laboratory of Precision Blasting, Jianghan University, Wuhan 430056, China
Xiaoxun Li: Department of Aeronautics and Astronautics, Fudan University, Shanghai 200433, China
Zhi Li: School of Aeronautics and Astronautics, Sun Yat-sen University, Shenzhen 518107, China
Weiyu Zhu: School of Aeronautics and Astronautics, Sun Yat-sen University, Shenzhen 518107, China
Yingkang Yao: State Key Laboratory of Precision Blasting, Jianghan University, Wuhan 430056, China

Sustainability, 2023, vol. 15, issue 18, 1-20

Abstract: Modular impact-resistant metamaterials inspired by burr puzzles were recently proposed to combine flexibility, efficiency and adaptivity, which were also beneficial for sustainability in engineering protection. However, the optimal design remains to be explored and the mean stress cannot be effectively estimated. To break these limits, a stiffness-enhanced strategy is implemented to enhance the crashworthiness, and the relation between the mechanical behavior of metamaterials and locking points is revealed. The average thickness of all modules in the metamaterial is denoted by t ave , and the thickness ratio of axially loaded to laterally loaded modules is denoted by y . From the experimental and simulation results, the mean stress of the metamaterials significantly increases with t ave and y , while the deformation mode is gradually transformed into an inefficient global buckling mode and impairs the crashworthiness when ψ ≥ 4 . ψ = 3 can be taken as the optimal design of metamaterials, which can increase the specific energy absorption SEA , energy absorption efficiency h and mean stress s m , respectively, by 62.4%, 44.2% and 57.6% compared to the regular design ( ψ = 1 ). On this basis, we develop a universe method to estimate the mean stress of the metamaterials with a relative error less than 9.6%, and a guideline for their design and application in engineering fields is summarized. This research opens a new avenue for broadening the design and applications of modular metamaterials in engineering applications.

Keywords: metamaterial; thin-walled structure; crashworthiness; stiffness design; tunability; mechanical estimation (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2023
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