Mechanical analysis of indentation experiments with conical indenter

Eric Felder (1) , Céline Ramond-Angélélis (1)

1 CEMEF - Centre de Mise en Forme des Matériaux

The finite element method was used to study the pyramidal indentation of elastic perfectly plastic (EPP) solids. The ratio of the effective elastic modulus, E*, to the flow stress, σ0, ranged from 2.79 (quasielastic solid) to 2790 (quasirigid perfectly plastic (quasi-RPP) solid). The frictional shear stress was taken as equal to zero or its maximal value. First we analyzed the two-dimensional indentation with a rigid axisymmetric cone (semiapical angle θ = 70.3°). We determined the evolution with the indentation index, X = (E*/σ0)cot θ, of the indent profile, the shape ratio, c = hc /h where h (hc ) is the indentation (contact) depth, and the hardness, H. The influence of friction becomes significant for X > 10. We validated our results by comparison with the results related to RPP solid and the results of three-dimensional numerical simulation of the Vickers and Berkovich pyramidal indentation for X = 1, 30 and 100. A method for interpreting the results of instrumented indentations is proposed and compared with the Oliver and Pharr method.

Mots clés: Physical Sciences

Domaines: Matériaux

Eric Felder, Céline Ramond-Angélélis. Mechanical analysis of indentation experiments with conical indenter. Philosophical Magazine, 2006, 86 (33-35), pp.5219-5230. ⟨10.1080/14786430600589071⟩. ⟨hal-00513661⟩