Higher-order asymptotic homogenization and dynamic properties of composite materials
Propagation of anti-plane shear waves in a fibre-reinforced composite with a square lattice of cylindrical inclusions is studied. Application of the higher-order homogenization method provides a long-wave approach. Solution for short waves is obtained by the Floquet - Bloch method and Fourier series expansions. Dispersion curves are evaluated, the pass and stop frequency bands are identified. Obtained results can be used for the development of new methods of non-destructive testing and acoustic diagnostic, as well as for the designing of new materials with specific characteristics that are set in advance.