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The correlation between the internal material length scale and the microstructure in nanoindentation experiments and simulations using the conventional mechanism-based strain gradient plasticity theory

Published online by Cambridge University Press:  31 January 2011

B. Backes ,
Y.Y. Huang ,
M. Göken  and
K. Durst
B. Backes*
Affiliation:
General Material Properties, University of Erlangen-Nürnberg, 91058 Erlangen, Germany
Y.Y. Huang
Affiliation:
Civil Engineering, Northwestern University of Chicago, Evanston, Illinois 60208-3109
M. Göken
Affiliation:
General Material Properties, University of Erlangen-Nürnberg, 91058 Erlangen, Germany
K. Durst
Affiliation:
General Material Properties, University of Erlangen-Nürnberg, 91058 Erlangen, Germany
*
a) Address all correspondence to this author. e-mail: [email protected]
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Abstract

In the present work a new equation to determine the internal material length scale for strain gradient plasticity theories from two independent experiments (uniaxial and nanoindentation tests) is introduced. The applicability of the presented equation is verified for conventional grained as well as for ultrafine-grained copper and brass with different amounts of prestraining. A significant decrease of the experimentally determined internal material length scale is found for increasing dislocation densities due to prestraining. Conventional mechanism strain gradient plasticity theory is used for simulating the indentation response, using experimentally determined material input data as the yield stress, the work-hardening behavior and the internal material length scale. The work-hardening behavior and the yield stress were taken from the uniaxial experiments, whereas the internal material length scale was calculated using the yield stress from the uniaxial experiment, the macroscopic hardness H0 and the length scale parameter h* following from the nanoindentation experiment. A good agreement between the measured and calculated load–displacement curve and the hardness is found independent of the material and the microstructure.

Keywords

HardnessNanoindentationNanoscale
Type
Articles
Information
Journal of Materials Research , Volume 24 , Issue 3 , March 2009 , pp. 1197 - 1207
Copyright
Copyright © Materials Research Society 2009

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