The current paper aims to promote the application of demolition waste of the Civil Engineering constructions. To achieve this assignment, two main physical properties, i.e. dry density and water absorption of the recycled aggregates have been chosen and studied at the first stage. The material moduli of the recycled materials, i.e. the Lamé's coefficients, lambda and mu strongly depend on the porosity. Moreover, the recycling materials should be considered as random materials. As a result, the statistical approach would be the most suitable way to handle and assess the level of certitude of the materials behavior as well as structures response