Impact loading of additively manufactured metallic stochastic sheet-based cellular material

•Mathematically designed stochastic sheet-based metallic cellular materials are proposed for impact mitigation.•Samples were designed and fabricated using the powder bed fusion additive manufacturing technique using stainless steel 316 L powder. The samples were tested under quasi-static and dynamic loadings with strain rates up to 12,000 s−1.•Tested samples exhibited excellent specific energy absorption capabilities ranging between 5 and 9.2 J/g in the homogeneous deformation mode and up to 35.05 J/g in the shock mode under the high strain rate.•The first and second critical loading velocities of analyzed samples are proportional to the relative density and are in the range of 25 – 32 m/s and 43 – 56 m/s for the analyzed samples, respectively.•Numerical simulations offered a more detailed analysis of the deformation mechanism and provided means to predict the mechanical response at very high strain rates.