Origami metamaterial with two-stage programmable compressive strength under quasi-static loading.

• A two-stage origami metamaterial with programmable compressive properties is proposed. • The analytical model of the structure is derived for both compressive stages with friction considered. • Numerical simulation and quasi-static crushing tests are carried out and validated with the analytical model. • Influence of the geometric parameters on quasi-static crushing responses of the structure are analysed and compared. An origami metamaterial with two-stage programmable compressive strength is proposed by combining the stacked Miura-origami and rhombic honeycomb structure. By adjusting the geometries of the structure, the compressive response of each stage including the compressive strength and the densification strain can be programmed within a certain range. Furthermore, the initial peak force, as an undesired energy-absorbing characteristic, can be programmed to maintain at a low level. The commonly seen fluctuation of crushing resistance on honeycomb structure is also minimized during the second stage deformation. The crushing behaviour of origami metamaterial is investigated under quasi-static loading condition. The programmability of compressive properties is demonstrated for the two stages of the deformation. The analytical model of the two-stage compressive response of the proposed origami metamaterial is firstly developed with friction contribution being taking into consideration during the first deformation stage. The analytical model is then verified with numerical analysis and quasi-static compressive testing data. The programmability of its compressive properties such as the initial peak crushing resistance, mean crushing force for both stages of deformation are then analysed based on the verified analytical model. Image, graphical abstract [ABSTRACT FROM AUTHOR]