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Nanoindentation and the indentation size effect: Kinetics of deformation and strain gradient plasticity
Authors:A.A. Elmustafa  D.S. Stone
Affiliation:a NASA Langley Research Center, CONITS, Center for Advanced Computational Technology UVA, Mail Stop, 142, Hampton, VA, 23666, USA
b Materials Science & Engineering, University of Wisconsin-Madison, Madison, Wisconsin, USA
Abstract:A study of the indentation size effect (ISE) in aluminum and alpha brass is presented. The study employs rate effects to examine the fundamental mechanisms responsible for the ISE. These rate effects are characterized in terms of the rate sensitivity of the hardness, View the MathML source, where H is the hardness and View the MathML source is an effective strain rate in the plastic volume beneath the indenter. View the MathML source can be measured using indentation creep, load relaxation, or rate change experiments. The activation volume V∗, calculated based on View the MathML source which can traditionally be used to compare rate sensitivity data from a hardness test to conventional uniaxial testing, is calculated. Using materials with different stacking fault energy and specimens with different levels of work hardening, we demonstrate how increasing the dislocation density affects V∗; these effects may be taken as a kinetic signature of dislocation strengthening mechanisms. We noticed both H and View the MathML source exhibit an ISE. The course of V∗ vs. H as a result of the ISE is consistent with the course of testing specimens with different level of work hardening. This result was observed in both materials. This suggests that a dislocation mechanism is responsible for the ISE. When the results are fitted to a strain gradient plasticity model, the data at deep indents (microhardness and large nanoindentation) exhibit a straight-line behavior closely identical to literature data. However, for shallow indents (nanoindentation data), the slope of the line severely changes, decreasing by a factor of 10, resulting in a “bilinear behavior”.
Keywords:Indentation size effect   Activation volume   Nanoindentation   Strain gradient plasticity   Indentation creep   Geometrically necessary dislocations   Alpha brass   Aluminum
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