On the stress–strain states of cellular materials under high loading rates

•Dynamic impact of cellular materials is analyzed with wave propagation technique.•Time history of particle velocity and stress–strain history curves are obtained.•The dynamic stress–strain states obtained verify the validity of the dynamic-rigid-plastic hardening (D-R-PH) model.

A virtual Taylor impact of cellular materials is analyzed with a wave propagation technique, i.e. the Lagrangian analysis method, of which the main advantage is that no pre-assumed constitutive relationship is required. Time histories of particle velocity, local strain, and stress profiles are calculated to present the local stress–strain history curves, from which the dynamic stress–strain states are obtained. The present results reveal that the dynamic-rigid-plastic hardening (D-R-PH) material model introduced in a previous study of our group is in good agreement with the dynamic stress–strain states under high loading rates obtained by the Lagrangian analysis method. It directly reflects the effectiveness and feasibility of the D-R-PH material model for the cellular materials under high loading rates.