Auxetic anti-tetrachiral materials: Equivalent elastic properties and frequency band-gaps

Finally, the rigorous Floquet-Bloch approach is applied to the periodic cell of the cellular solid to evaluate the dispersion of propagation waves along the orthotropic axes in the framework of elasticity and to detect band gaps characterizing the material. A numerical approach, based on the first order computational homogenization, is also adopted and the rigorous and approximate solutions are compared.