Existence and uniqueness of Rayleigh waves in isotropic elastic Cosserat materials and algorithmic aspects

We discuss the propagation of surface waves in an isotropic half space modelled with linear Cosserat theory elastic materials. To this aim we use a method based on algebraic analysis impedance matrix and Riccati equation, which is independent common Stroh formalism. Due to method, new algorithm determines amplitudes wave speed materials described. Moreover, allows us prove existence uniqueness subsonic solution secular problem remains unsolved almost all generalized theories Since results are suitable be used for numerical implementations, propose two algorithms viable any material. Explicit calculations made aluminium-epoxy context model. novel form equation material has not been explicitly derived elsewhere, establish it paper, too.