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The crushed materials of extended grading are highly applicable in the unbounded granular layers of road pavements, namely in granular subbase and base. The behaviour of those materials in layers of pavements, in spite of some studies already developed on that matter, is not yet characterized enough, especially for reasons of heterogeneity of the rock masses from which they come. In the attempt to contribute to a better knowledge of that behaviour a work is being developed, which main objective is the mechanical characterization and the elaboration of typical models of behaviour for crushed materials of several lithologies, susceptible of being used on that kind of layers. This communication describes the results obtained until now, only for one of the types of studied material, the limestone. Essentially, the paper gives the geotechnical characterization of the material and makes it possible to evaluate which is the range of variation of the resilient modulus obtained in cyclic tri-axial tests. Finally, is displayed the summary of the work that is still expect to be develop.