Propagation of torsional waves in a linear unbounded Cosserat continuum

In the present work we formulate uniqueness theorems for the problem of propagation of longitudinal monochromatic waves in a linear theory of elasticity with microstructure where disturbance is represented by a train of harmonic waves. The corresponding boundary value problems of Dirichlet and Neumann type are formulated together with appropriate Sommerfeld radiation conditions in the case of the exterior domain and the uniqueness results are established.