Boudilmi, Aissa2019-06-122019-06-122016http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/14249In this theoretical study, we have chosen to use a body of an ellipsoidal geometric form as an indenter, where we determined the mathematical expression of the static hardness as function of the depth and the radii of the area of projected imprint. We used the general formula of the static hardness expressed by the ratio of a force applied perpendicular on the indenter to the resulting area of the imprint; also, we have established the real imprint (cap) of an indenter of revolution ellipsoid form. Finally, geometrical and mathematical approaches have been used to derive the formula of the static hardness expression.frhardness measurement, mechanical characterization, bulk deformation, geometric modeling.Article