A universal formulation for indentation whatever the indenter geometry

Xavier Hernot (1) , Olivier Bartier (1) , Gerard Mauvoisin (1) , Jean-Marc Collin (1)

1 LGCGM - Laboratoire de Génie Civil et Génie Mécanique

We propose in this paper a geometrical equivalence between a shape described by a power law and a conical geometry. A theoretical and numerical study has allowed us to generalize an equivalence between the conical geometrical parameter tanβ and the spherical or power law shape geometrical parameter ac/R. Moreover, in order to superpose indentation data whatever the geometry, a new pile-up parameter Δ has been introduced. For one set of mechanical properties of the tested sample, this new formulation leads to a perfect superposition between conical, power law shape and spherical indentation data. At the end of this paper, we propose a comparison between the results proposed in literature and the present formulation.

Mots clés: Conical indentation; Spherical indentation; Geometrical equivalence; Universal formulation

Domaines: Sciences de l'ingénieur [physics]; Mécanique des matériaux [physics.class-ph]

Xavier Hernot, Olivier Bartier, Gerard Mauvoisin, Jean-Marc Collin. A universal formulation for indentation whatever the indenter geometry. Mechanics of Materials, 2015, 81, pp.101-109. ⟨10.1016/j.mechmat.2014.11.006⟩. ⟨hal-01157486⟩