Last modified: 2018-07-23
Abstract
In this article we chose to use an indenter having an ellipsoidal geometrical form, which, we used the model of the surfaces mixture, to separate the contributions of substrate and film on the composite covered material hardness. We have considered the coefficients a, b of the model as ratios of ecliptics surfaces. It represents the projections of the prints at the horizontal plans.We prove that the coating hardness present the contribution of the substrate and the film hardness.
This work contained; firstly, a general mathematical concept about forms of the ellipsoid are highlighted,then, the expression of the Hardness of covered material is established. Secondly, expressions forms of balancing coefficients of the law of the surfaces mixture of the ellipsoid indenters are determined as a function of the depth or the diameter of imprint and indenters dimensions. Finally, the film hardness of coating material is expressed.