Here, both the matrix and particles are considered elastic and totally connected, i.e., degeneration of the involved materials is not allowed and perfect adherence between matrix and particles phases is adopted, thus the interface or the transition zone between phases is not modeled.
The proposed formulation already includes geometrically exact description allowing the development of large displacements and moderate strains. Examples are presented to validate the formulation confronting it with usual techniques of homogenization and laboratory experiments. Furthermore, the possibilities of the proposed technique are shown in an original example.