%0 Journal Article %T A universal formulation for indentation whatever the indenter geometry %+ Laboratoire de Génie Civil et Génie Mécanique (LGCGM) %A Hernot, Xavier %A Bartier, Olivier %A Mauvoisin, Gerard %A Collin, Jean-Marc %< avec comité de lecture %@ 0167-6636 %J Mechanics of Materials %I Elsevier %V 81 %P 101-109 %8 2015 %D 2015 %R 10.1016/j.mechmat.2014.11.006 %K Conical indentation %K Spherical indentation %K Geometrical equivalence %K Universal formulation %Z Engineering Sciences [physics] %Z Physics [physics]/Mechanics [physics]/Mechanics of materials [physics.class-ph]Journal articles %X 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. %G English %2 https://univ-rennes.hal.science/hal-01157486/document %2 https://univ-rennes.hal.science/hal-01157486/file/A%20universal%20formulation%20for%20indentation%20whatever%20the%20geometry.pdf %L hal-01157486 %U https://univ-rennes.hal.science/hal-01157486 %~ UNIV-RENNES1 %~ INSA-RENNES %~ LGCGM %~ UR1-HAL %~ UR1-SDLM %~ UR1-SDLMJONCH %~ TEST-UNIV-RENNES %~ TEST-UR-CSS %~ UNIV-RENNES %~ INSA-GROUPE %~ UR1-MMS