An analytical procedure to determine constitutive coefficients of a mixture of two linear elastic solids

In this paper, we study the coefficients of constitutive equations of a binary mixture of elastic solids and give an analytical approach to determine them. Assuming a material of two-phase elastic composite with randomly distributed elastic spheres is equivalent to a mixture of two elastic solids, we find the values of unknown coefficients by making use of Boussinesq problem. Furthermore, a mean displacement vector definition is also given.