Bandgap calculation of shock-resistant metamaterials and evaluation of shockwave resistance

Theoretical bandgap calculation and numerical simulations were carried out in order to evaluate the shockwave resistance of the structures made of metamaterials, specifically in real applications. Assuming that the microstructures of the shockwave-resistant metamaterials are the same as that of the phononic crystals, a bandgap calculation model was constructed based on the wave function and the Bloch theory. Besides, the bandgap calculations of certain specific structures were carried out. Using the Abaqus dynamic simulation analysis software, the shockwave resistance of specific metamaterial structures and ordinary steel plates were compared and analyzed in terms of their response to stress and displacement. Consequently, the shockwave resistance and the results of bandgap calculations of the metamaterials were verified. The results showed that the bandgap model, constructed for the metamaterials, is highly accurate and the metamaterials with the structures of photonic crystal were found to be more resistant to shockwave. This investigation can provide a theoretical reference for future structural designs of shockwave-resistant metamaterials.