ABSTRACT
If ε= 0, there is no coupling between shear and compressional wave. In the latter case
where λ and µ are Lamé coefficients, α is an elastic constant describing the resistance to rotation of the point-body with respect to the background. Let ρ be the mass density of the medium, I the mass density of the inertia tensor, K and L be the densities of the external volume force and torque, respectively. The balance of force and the balance of torque for the reduced Cosserat continuum can be written as
In this paper we consider for simplicity spherical inertia tensor: I= IE.