Acta Mechanica Solida Sinica

, Volume 32, Issue 6, pp 713–724 | Cite as

Crushing Behaviors of Fractal Hexagonal Tubular Structures: Experiments and Plastic Analysis

  • Weiwei Li
  • Bei ZhangEmail author
  • Hualin FanEmail author


Fractal tubular structures (FTSs) can greatly increase the anti-crushing and energy absorption capacity of the material. To reveal this mechanism, fractal hexagonal tubes (FHTs) with self-similar fractal structure were designed and prepared. Compression experiments were carried out to verify the crushing modes of structures with different scale factors. Compared with the single-cell structure, FHTs have much greater mean crushing force (MCF). According to the experiments and the numerical simulations, when the side length of the second-order hexagon is 0.3 times of the length of the first-order primary hexagon, the FTS has the greatest peak force (PF) and MCF as well as the most excellent energy-absorbing ability. Three folding styles were revealed by the experiments and the numerical simulation when changing the scale factor, including the overall folding mode, the local foaling mode and the hybrid folding mode. Theoretical plastic models were built, which consistently predicted the MCF.


Fractal structure Crushing Energy absorption Plastic analysis 



Supports from the National Natural Science Foundation of China (11671230) and the State Key Laboratory of Mechanics and Control of Mechanical Structures (MCMS-0217G03) are gratefully acknowledged.


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics 2019

Authors and Affiliations

  1. 1.Research Center of Lightweight Structures and Intelligent Manufacturing, State Key Laboratory of Mechanics and Control of Mechanical StructuresNanjing University of Aeronautics and AstronauticsNanjingChina
  2. 2.State Key Laboratory for Disaster Prevention & Mitigation of Explosion & ImpactPLA Army Engineering UniversityNanjingChina
  3. 3.Department of Civil EngineeringNanyang Institute of TechnologyNanyangChina
  4. 4.Research Institute for National Defense Engineering of Academy of Military Science PLALuoyangChina

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