On crushing response of the three-dimensional closed-cell foam based on Voronoi model

•We build 3D Voronoi models of the closed-cell foams to study their crushing modes.•Increasing impact velocities increase the plateau stress and initial peak stress.•The crushing bands are various under different impact velocities.•The inertia effect of cell walls augments the crushing stress.•The Voronoi model is superior to the continuum model for the closed-cell foams.

The crushing response of the three dimensional closed-cell foams is investigated using mesoscale numerical models based on Voronoi tessellation. The crushing stress at the impact and stationary sides of the Voronoi structures are obtained. The effects of the impact velocity, the cell shape irregularity degree, the relative density, inertia of cell walls and the dependence of the base material on the crushing stress are discussed. Meanwhile, the contention of the rate dependency of cellular materials are expounded by the comparison of numerical results of the Voronoi model and solid continuum model as well as the shock wave theory, in which the densification strain and plateau stress are calculated using the energy absorption efficiency approach.