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Theoretical studies of material properties behavior such as mechanical and tribological have been carried out by different authors, in order to compare these results with experimental data. There have been special interest in coatings, films and multilayers with nanometric scales, because their high performance for different applications. One of the most used method for modeling for different materials and their properties have been finite elements. In this work, hardness of Cr-CrN nanometric multilayers coatings have been modeling by using finite elements, varying the period of layers and the thickness of the films in order to determine the behavior of the system. For this model, the software ANSYS multiphysics was used to carry out simulation of the indentation process for hardness determination and the calculation of vibrational modes and fatigue. For the analysis, pyramidal and conical Berkovich indenter were built, and the modeling is realized employing models proposed by R. G. Veprek.
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