An expanding cavity model incorporating pile-up and sink-in effects

Xavier Hernot (1) , Olivier Bartier (1)

1 LARMAUR - LAboratoire de Recherche en Mécanique Appliquée

A new expanding cavity model (ECM) for describing conical indentation of elastic-ideally plastic material is developed. For the proposed ECM, it is assumed that the volume of material displaced by the indenter is equal to the volume loss, due to elastic deformation, in the material and depends on the pile-up or sink-in. It was shown that the proposed ECM matches very well numerical data in the final portion of the transition regime for which the contact pressure lies between approximately 2.5Y and 3Y. For material of large E/Y ratio, the new ECM also provides results which are very close to the numerical data in the plastic-similarity regime (regime in which C-f = 3). For material of smaller E/Y ratio, the proposed ECM gives better results than the Johnson's ECM because pile-up or sink-in is taken into account.

Domaines: Mécanique des matériaux [physics.class-ph]; Mécanique des matériaux [physics.class-ph]

Xavier Hernot, Olivier Bartier. An expanding cavity model incorporating pile-up and sink-in effects. Journal of Materials Research, 2012, 27 (1), pp.132-140. ⟨10.1557/jmr.2011.394⟩. ⟨hal-00829995⟩