Abstract
Purpose
As a kind of common lightweight porous materials, honeycombs have a wide range of applications in aerospace, architecture, packaging and other fields. In this paper, four types of new gradient honeycombs with negative Poisson's ratio are obtained, including angle gradient, thickness gradient and functional gradient, which are obtained by changing the geometric or physical parameters of cells.
Methods
The dynamic responses of gradient auxetic honeycombs under different impact speeds are studied by ABAQUS display dynamic finite element method, and the deformation profiles of gradient honeycomb models are obtained. The nominal stress–strain curves and energy absorptions of the gradient auxetic honeycombs are studied, and the dynamic bearing capacity of the four kinds of gradient auxetic honeycombs is further analyzed.
Results and Conclusion
The results obtained in this paper show that the thickness of cell walls has a great influence on the impact resistance and vibration energy absorption of honeycomb structures. As for gradient honeycombs, the angle gradient honeycomb is better than the other three types in energy absorption, and the functional gradient honeycomb containing ceramic is less deformed. The research results in this paper will provide theoretical guidance for energy absorption, vibration reduction design and applications of honeycomb structures in the engineering field.
Similar content being viewed by others
References
Gibson LJ, Ashby ME (1997) Cellular solids: structure and properties. Cambridge University Press, London
Galehdari SA, Kadkhodayan M, Hadidi-Moud S (2015) Low velocity impact and quasi-static in-plane loading on a graded honeycomb structure; experimental, analytical and numerical study. Aerosp Sci Technol 47:425–433
Bonfantia A, Bhaskar A (2018) Elastoplastic response and recoil of honeycomb lattices. Eur J Mech A Sol 71:77–88
Zhang W, Hao YX, Yang J (2012) Nonlinear dynamics of FGM circular cylindrical shell with clamped-clamped edges. Compos Struct 94:1075–1086
Hao YX, Niu Y, Zhang W, Yao MH, Li SB (2018) Nonlinear vibrations of FGM circular conical panel under in-plane and transverse excitation. J Vib Eng Technol 6(6):453–469
Yao MH, Niu Y, Hao YX (2019) Nonlinear dynamic responses of rotating pretwisted cylindrical shells. Nonlinear Dyn 95(1):151–174
Singh SJ, Harsha SP (2020) Nonlinear vibration analysis of sigmoid functionally graded sandwich plate with ceramic-FGM-metal layers. J Vib Eng Technol 8(1):67–84
Boldrin L, Hummel S, Scarpa F, Di MD, Lira C, Ruzzen M, Remillat CDL, Lim TC, Rajasekaran R, Patsias S (2016) Dynamic behaviour of auxetic gradient composite hexagonal honeycombs. Compos Struct 149:114–124
Gu Y, Xu XH (2018) Novel gradient design and simulation of Voronoi structures. Int J Appl Mech 10(7):1850079
Shen CJ, Lu G, Yu TX (2013) Dynamic behavior of graded honeycombs-A finite element study. Compos Struct 98:282–293
Zhang W, Yin S, Yu TX, Xu J (2019) Crushing resistance and energy absorption of pomelo peel inspired hierarchical honeycomb. Int J Impact Eng 125:163–172
Nian YZ, Wan S, Li XY, Su Q, Li M (2019) How does bio-inspired graded honeycomb filler affect energy absorption characteristics. Thin-Wall Struct 144:106269
Lim TC (2015) Auxetic materials and structures. Springer-Verlag, Singapore, pp 346–365
Li X, Wang QS, Yang ZY, Lu ZX (2019) Novel auxetic structures with enhanced mechanical properties. Ext Mech Lett 27:59–65
Hu LL, Zhou MZ, Deng H (2018) Dynamic crushing response of auxetic honeycombs under large deformation: theoretical analysis and numerical simulation. Thin-Wall Struct 131:373–384
Zhang XC, Ding HM, An LQ, Wang XL (2015) Numerical investigation on dynamic crushing behavior of auxetic honeycombs with various cell-wall angles. Adv Mech Eng Art ID 679678:1–12
Jin XC, Wang ZH, Ning JG, Xiao GS, Liu EQ, Shu XF (2016) Dynamic response of sandwich structures with graded auxetic honeycomb cores under blast loading. Compos B 106:206–217
Qiao JX, Chen CQ (2015) Impact resistance of uniform and functionally graded auxetic double arrowhead honeycombs. Int J Impact Eng 83:47–58
Hou WB, Yang X, Zhang W, Xia Y (2018) Design of energy-dissipating structure with functionally graded auxetic cellular material. Int J Crashworthiness 23(4):366–376
Hao YX, Li ZN, Zhang W, Li SB, Yao MH (2018) Vibration of functionally graded sandwich doubly curved shells using improved shear deformation theory. Sci China-Technol Sci 61(6):791–808
Hou XH, Deng ZC, Zhang K (2016) Dynamic crushing strength analysis of auxetic honeycombs. Acta Mech Solida Sin 29(5):490–501
Kooistra GW, Deshpande VS, Wadley HNG (2014) Compressive behavior of age hardenable tetrahedral lattice truss structures made from aluminum. Acta Mater 52(14):4229–4237
Acknowledgements
The authors gratefully acknowledge the support of Qinxin Talents Cultivation Program of Beijing Information Science and Technology University No. QXTCPB201701, Beijing Natural Science Foundation No. 1182010, Hebei Provincial Natural Science Foundation of China No. A2019202342, National Natural Science Foundation of China No. 11832002, No. 11732005 and No. 11472057.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
On behalf of all authors, the corresponding author states that there is no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Zhang, J., Dong, B. & Zhang, W. Dynamic Crushing of Gradient Auxetic Honeycombs. J. Vib. Eng. Technol. 9, 421–431 (2021). https://doi.org/10.1007/s42417-020-00236-z
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s42417-020-00236-z