Study on quasi-static mechanical properties of four 3D-printed bio-inspired structures based on functional relationship

[Display omitted] •The 3D-Printing bio-inspired structures are presented.•Analytical solutions of compression are described based on functional relationship.•Mechanical properties are analyzed in terms of experiment, simulation and analysis. Numerous complex structures with excellent mechanical properties have been created to adapt to impact conditions and these bio-inspired structures play a significant role in applications of protective engineering in the future. In this paper, the three-dimensional finite element models of the normal honeycomb structure, the concave honeycomb structure, the inclined column honeycomb structure and the imitational peanut shell structure are developed. Quasi-static crushing experiments, explicit dynamic simulation analysis and theoretical analysis are carried out to validate their availability, whose results verify the impact stability and specific energy absorption of the models. The results demonstrate ICHS can lead to the higher specific energy absorption. According to the comparison between NHS, CHS, ICHS and IPSS, it is found that the carrying capacity of ICHS increases by 82%, 73.4% and 9.6%, and the stiffness increases by 600.1%, 73.2% and 24.9%, respectively. Moreover, from the perspective of the overall collapse modes, the deformation of ICHS is the most stable.