Representation theorems and fundamental solutions for micropolar solid–fluid mixtures under steady state vibrations

The isothermal theory of binary micropolar solid–fluid mixture is considered in this paper. For the dynamical problem, a Galerkin type representation of the solution is established. Then, a fundamental solution is given for the three-dimensional partial differential system which describes the steady vibrations. Also, some basic properties of the fundamental solution and a direct application to the point load problem are presented.