A conjunction of local apparent properties with a global design of structural elements is a motivation for applying composites which are not periodic but posses a deterministic space-varying microstructure. An averaged description of a micro-dynamic behaviour of such composites is the subject of this contribution. The microstructure size effect on a global body behaviour is investigated. This effect is neglected in the known asymptotic models of the above solids where the G-convergence methods are used, [11].
