The Galerkin vector solution for a mixture of two elastic solids and Boussinesq problem

This work is concerned with the linear theory of a binary mixture of two elastic solids. Using the constitutive equations for the mixture which are given by Green and Steel, the displacement equations in the case of isotropic mixture of two elastic solids are derived. By use of the Galerkin vector solution, the displacement vector of each component in the mixture is obtained. Finally, an equilibrium solution for the Boussinesq problem of the mixture of two elastic solids in an infinite half-space is examined.