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Strain gradient plasticity to study hardness behavior of magnetite (Fe3O4) under multicyclic indentation

Published online by Cambridge University Press:  31 January 2011

D. Chicot ,
F. Roudet ,
V. Lepingle  and
G. Louis
D. Chicot*
Affiliation:
Laboratoire de Mécanique de Lille, LML-UMR 8107, U.S.T. Lille, IUT A GMP, 59653 Villeneuve d’Ascq, France
F. Roudet
Affiliation:
Laboratoire de Mécanique de Lille, LML-UMR 8107, U.S.T. Lille, IUT A GMP, 59653 Villeneuve d’Ascq, France
V. Lepingle
Affiliation:
Laboratoire de Mécanique de Lille, LML-UMR 8107, U.S.T. Lille, IUT A GMP, 59653 Villeneuve d’Ascq, France
G. Louis
Affiliation:
Ecole des Mines de Douai, 59508 Douai Cedex, France
*
a) Address all correspondence to this author. e-mail: [email protected]
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Abstract

The hardness of a material is generally affected by the indentation size effect. The strain gradient plasticity (SGP) theory is largely used to study this load dependence because it links the hardness to the intrinsic properties of the material. However, the characteristic scale-length is linked to the macrohardness, impeding any sound discussion. To find a relevant parameter, we suggest introducing a hardness length-scale factor that only depends on the shear modulus and the Burgers vector of the material and is easily calculable from the relation of the SGP theory. The variation of the hardness length-scale factor is thereafter used to discuss the hardness behavior of a magnetite crystal, the objective being to study the effect of the cumulative plasticity resulting from cyclic indentation. As a main result, the hardness length-scale factor is found to be constant by applying repeated cycles at a constant peak load whereas the macrohardness and the characteristic scale-length are both cycle dependent. When using incremental loads, the hardness length-scale factor monotonically decreases between two limits corresponding to those obtained at high and low loading rates, while the dwell-load duration increases. The physical meaning of such behavior is based on the modification of the dislocation network during the indentation process depending on the deformation rate.

Keywords

DislocationsHardnessOxide
Type
Articles
Information
Journal of Materials Research , Volume 24 , Issue 3 , March 2009 , pp. 749 - 759
Copyright
Copyright © Materials Research Society 2009

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