Elastic waves and homogenization in oblique periodic structures

摘要: A mathematical model has been constructed to describe elastic waves propagating in a two–dimensional solid containing doubly periodic parallelogram array of circular holes. multipole expansion method is employed which takes into account coupling between shear and dilatational via the traction boundary conditions determines structure modes. It important that homogenized be anisotropic; this follows from analysis presented here. The algorithm implemented computer code, was used construct dispersion diagrams analyse filtering properties composite structure. particular interest study hexagonal rhombic types lattices, can shown exhibit phononic band–gaps.